The two simplest form of connections are series and parallel connections. Series and Parallel Resistors: Examples with Detailed Solutions Example 3 Find current I in the circuit below. and 1 Ω are connected in series. Resistors in Series vs. UC Berkeley today announced its plan to form a new interdisciplinary academic unit to coordinate and foster the growth of various programs related to informatics — which encompasses computing as well as societal implications of information technologies — across the campus. P 1 / P 2 ≥ 1. Resistance is a natural feature of all everyday circuits, and is purposely used to regulate how much current is in a circuit. We will see capacitors in parallel first. solutions, and resources from industry. In particular, these circuits do not contain dependent sources. Resistors in Series and Parallel In these lessons, we will • Calculate the voltage, current and resistance of several resistors in series and parallel. Can you guys help me by listing possible issues with putting different batteries in parallel. As the name indicates fixed resistors are those which have a predefined or fixed value of resistance. Based on the figure below, if the source of electromotive force (emf) is 24 Volt, determine electric current I. I want this screen to show first, the go to the screen to choose, voltage, current, and resistance. Here $ {R}_{eq} $ represents the equivalent resistance of the resistors. 08 µF in series combination, 13. Determine whether resistors are in series, parallel, or a combination of both series and parallel. Resistors which share the same two nodes are said to be in parallel. If you want to compute the series resistance of more than 10 resistors, then just start with the first 10 resistors and then calculate the equivalent series resistance. The topic of this problem is series and parallel resistors and what we're trying to do in this problem is we want to find the equivalent resistance for the resistor network that is shown. Determine the equivalent resistance of two resistors of 12 W and 18 W when they are connected a) in parallel b) in series 15) Assume that you have five one thousand ohm (1000 W) resistors. The source voltage is 36 V. • Series-Parallel DC Circuits Analysis • Power Calculations in a Series/Parallel Circuit • Effects of a Rheostat in a Series-Parallel Circuit Knowledge Check 1. Resistors are in series if the same current must pass sequentially through them. Resistors are joined in two ways, i. Problem: Four identical light bulbs of resistance R are connected as shown in the figure. Calculations for Parallel and Series-Parallel Circuits. This is achieved by connecting two or more of them in parallel, series, or a combination of both. Among those, waveforms from 120 VLFEs were inverted to obtain their centoroid moment tensor (CMT) solutions and locations using an examination grid to minimize a residual between the observed and synthetic waveforms within an area of 11Â° Ã— 14Â° in latitude and longitude and at depths of 0 to 60 km. The rules listed above (Ohm's law, KVL, and KCL) are your most important tools for analyzing circuits. You home is wired in A. Figure 1: AC parallel circuit used for analysis using MultiSim Unlike the series circuit, there is no resistor in series with the voltage source that allows us to plot the current by taking advantage of its in-phase relationship. New Problem: Infinite Resistors This is a classic problem, which you may have encountered (or seen a variation on it) if you are into these kinds of things. Examine the circuit diagram to make this assessment. So with combination X, we have one resistor in series with two parallel resistors. Series and parallel resistances are common in almost all electrical circuits. 5: Force Between the Plates of a Plane Parallel Plate Capacitor:. A parallel circuit is one that has a pair of or plenty of how for the electricity to flow, the lots unit parallels to each various. The figure below displays a series circuit with a voltage source and two resistors. The goal of series-parallel resistor circuit analysis is to be able to determine all voltage drops, currents, and power dissipations in a circuit. All classic physics subjects are included: mechanics and electromagnetism. Resistors are in series if the same current must pass sequentially through them. The 20Ω and 12Ω resistors are in parallel because they have nodes c and e in common. The reciprocal of resultant resistor is the sum of reciprocals of all resistors in parallel, and 3. The only special case is resistors used in a L-pad. All answers have been removed, and key pieces of information remain as to be a revision support. Series and parallel capacitors on Brilliant, the largest community of math and science problem solvers. , assuring high stability over time and changing environmental conditions. Find the equivalent resistance. Problem: Four identical light bulbs of resistance R are connected as shown in the figure. The exclusive bridge circuits can be treated as blocks and combined with other resistors in series/parallel or in bridge (and even bridge in a bridge, which requires nine or more resistors). Lecture 36 • Capacitance • Combinations of capacitors (series and parallel) • Energy stored in capacitor (electric ﬁeld) • start chapter 31 (Fundamentals of Circuits). If you connect two, 1/4 watt, 100 ohm resistors across one another (i. It is clear to me that I will. Determine whether resistors are in series, parallel, or a combination of both series and parallel. Series And Parallel Circuits. Based on the figure below, if the source of electromotive force (emf) is 24 Volt, determine electric current I. Resistors also have a wattage rating that determines how much power they can handle. Resistors in Series and Parallel Example No2 Find the equivalent resistance, R EQ for the following resistor combination circuit. Procedure 1. This is a parallel connection since the voltage across each resistor is the same. The most common problems I encounter as an electronics instructor with reference to series-parallel are invariably related to students’ lack of ability to consistently distinguish series sub-networks and parallel sub-networks in series-parallel combination circuits. Therefore, network AEF reduces to a parallel combination of two resistors of 6 W each. In series circuit electrons travel only in one path. Use the appropriate list of major features for series or parallel connections to solve for the unknowns. P = I E C 12. Add the resistors in series to calculate the equivalent resistance. Parallel circuits generally have two or more diﬀerent paths for the electrons to travel through the resistors and devices. Almost all electronic devices have parallel circuits. 2 Series/Parallel Resistance Combinations : Resistances in Series, Resistances in Parallel,. W8WWV Antenna Experimentation. Just like capacitors resistors can be grouped in series and parallel. is placed in series with an iron resistor of resistance R 2. Resistors are in series if the same current must pass sequentially through them. You can show why this is fairly easily. Calculate the voltage drop of a current across a resistor using Ohm's law. Physics topics by J. resistors are in parallel. You do not use resistors (or capacitors) ? 7) You ask: What is a resistor?. The resistors R have been numbered, as shown, for reference. Examine the circuit diagram to make this assessment. If you want to compute the series resistance of more than 10 resistors, then just start with the first 10 resistors and then calculate the equivalent series resistance. In some cases, the voltage-divider rule and the current-divider rule are also useful. The starting. Sneak a peek at figure 1. resistors in series if the components take on one path resistors in parallel if the component are connected at each end but the component can take on multiple paths 2, 5, 20, 4 ,6 and 12 are in parallel. Now the 4-Ω resistor and 8-Ω resistor are connected in series. Identify exactly what needs to be determined in the problem (identify the unknowns). From the diagram, A, B, and C are in parallel, E and F are in parallel, and ABC , EF, and D are in series. and 2 Ω are connected in parallel. Calculate the total resistance of resistors in a series by adding the individual resistance values: R series = R 1 + R 2 + R 3 + … Calculate the total resistance of resistors in parallel by the following formula: R parallel = 12 12 R ×R R +R This would be a good, advanced problem with scientific notation. Connection in Parallel. Resistors in Series When connected in series, the total resistance, R T, is equal to R T R 1 R 2 R 3. Refer to Figure 5(A). 1 Resistance : Ohm's Law, i-v Characteristic, Conductance, Power Dissipation, Conduction, Practical Resistors and Potentiometers 2. Finding the effective resistance of resistors in series is very simple: just add up the individual resistances. If you get any. When resistors are in parallel however, we add up the inverse of their resistances, and then invert that sum. So we have a network of resistors that are connected in series and parallel. He notices that since 2011 the number of repeat customers has steadily declined. In this series-parallel circuit, resistors R1 and R2 are in series with each other, but resistor R3 is neither in series nor in parallel with either R1 or R2: R1 R2 R3 Normally, the ﬁrst step in mathematically analyzing a circuit such as this is to determine the total circuit resistance. The lucky winner of the Electrical Circuits Contest #1 is Kunal Marwaha from […]. While it may not be entirely intuitive, the equation for the equivalent resistance of parallel-connected resistors is given by an equation with several reciprocal terms. Circuit (b) is a series circuit: each node is connected to exactly two components and the same current must ow through each. Which combination is strictly parallel? Determine its total resistance. Data for CBSE, GCSE, ICSE and Indian state boards. By combining the two designs, the engine can both drive the wheels directly (as in the parallel drivetrain), and be effectively disconnected, with only the electric motor providing power (as in the series. Series/parallel drivetrains merge the advantages and complications of the parallel and series drivetrains. Referring to the diagram in section IV, wire up Circuit #4, in which the 2-Ω resistor is in series with the parallel combination of the 5-Ω and 10-Ω resistors. There are two basic ways to combine resistors in an electronic circuit: in series (strung end to end) and in parallel (side by side). Series & Parallel Circuit Practice Problems Name: % ham L0) l. Scroll down the page for more examples and solutions on how to use the formulas. The presentation ends with an explanation of complex resistor combinations. Parallel AC Circuits. Immediate feedback is provided. Worksheet: Circuits & Ohm’s Law 10. In this series-parallel circuit, resistors R1 and R2 are in series with each other, but resistor R3 is neither in series nor in parallel with either R1 or R2: R1 R2 R3 Normally, the ﬁrst step in mathematically analyzing a circuit such as this is to determine the total circuit resistance. Simple circuits (ones with only a few components) are usually fairly straightforward for beginners to understand. Circuit Analysis Two Resistors Connected in Parallel • 49 Final. Refer to Figure 5(A). Also the resistors R3, R2 and R1 form a parallel combination. Parallel Resistance Practice Problems Students solve problems on the determination of total capacitive reactance of series-parallel capacitors. Resistors in Series vs. Thus, the effecting spring constant is given by k_{\rm eff} = k_1+k_2. After redrawing several times we end up with a single resistor representing the equivalent resistance of the circuit. The series/parallel configuration shown in Figure 6 enables design flexibility and achieves the desired voltage and current ratings with a standard cell size. 7, the positive charge electrically. Let total resistance = R. Solution: Resistors in Parallel Consider a circuit with 3 resistors in parallel (such as the circuit below, if N = 3). 2 Inductors in Series and Parallel We can do similar analysis for inductors. Resistors in Series In these lessons, we will • Determine the total resistance of several resistors in series. where Rs is the equivalent resistance of the resistors in series. So with combination X, we have one resistor in series with two parallel resistors. When in a battery, positive terminal of one cell is connected with the negative terminal of succeeding cell, then the cells are said to be series connected or simply series battery. voltage across one resistor in a series of resistors is equal to the same fraction of the voltage across the whole circuit as that resistor’s resistance bears to the total resistance of the series. across the terminals of the cell. Even with an output voltage as low as 1V, this only adds 1. P = VI = (120 V)(15 A) = 1,800 W. The two in series are equivalent to 2R which combined with the remaining resistor gives (2R)R 2R+R = 2 3 R. 13V 12 V 3. RAB = 4/3 = 1. Light bulbs in parallel will remain on when one bulb is removed. This is because each branch has a phase angle and they cannot be combined in a simple way. Capacitors, Current, Resistors and Circuits Documents (Optional) problems: Problems without solutions. Referring to the example combining series and parallel circuits and Figure 10. and 1 Ω are connected in series. The parallel resistance ideally must be infinite. In this series-parallel circuit, resistors R1 and R2 are in series with each other, but resistor R3 is neither in series nor in parallel with either R1 or R2: R1 R2 R3 Normally, the ﬁrst step in mathematically analyzing a circuit such as this is to determine the total circuit resistance. You can show why this is fairly easily. Resistors in series means end to end connection. Consider a network of n resistors R_i so that R_2 may be connected in series or parallel with R_1, R_3 may be connected in series or parallel with the network consisting of R_1 and R_2, and so on. Resistors are in series if the same current must pass sequentially through them. State variables are voltages across capacitors and currents through inductors. 1 Resistances in Series, Parallel, and Series-Parallel Combinations 1. Now the 4-Ω resistor and 8-Ω resistor are connected in series. Resistors reduce the current flow and lower voltage levels within circuits. Explain why total resistance of a parallel circuit is less than the smallest resistance of any of the resistors in that. 0 V battery. Now as we rebuild the circuit, we note that series resistors must have the same current I and that parallel resistors must have the same potential difference. Parallel Resistance Resistors are said to be connected in parallel when connected as in Figure 33. such that a capacitor in series with an inductor cancel each other’s reactance. Problems and Solutions Dynamic Electricity, Resistors in Parallel and in Series Circuits Problems and Solutions Resistors in Parallel and in Series Circuits Problems and Solutions - PHYSICS TUTORIAL ROOM. When you need someone to repair your industrial electronics, you need industrial electronic services that include comprehensive and rigorous testing. Use the appropriate list of major features for series or parallel connections to solve for the unknowns. Find the resistor(s) with the maximum voltage drop. 13 on page 610. Most series-parallel circuits can be analyzed using just those rules. Resistors in Series and Parallel Example No2 Find the equivalent resistance, R EQ for the following resistor combination circuit. Consider a network of n resistors R_i so that R_2 may be connected in series or parallel with R_1, R_3 may be connected in series or parallel with the network consisting of R_1 and R_2, and so on. It is also clear that the two parallel combinations are in series with one another. Note that the total. SOLUTIONS: PROBLEM SET 3 ELECTRIC CURRENT and DIRECT CURRENT CIRCUITS PART A: CONCEPTUAL QUESTIONS A. ) First of all, between points A and B there are two resistors in series and one in parallel. Draw a circuit with resistors in parallel and in series. The lucky winner of the Electrical Circuits Contest #1 is Kunal Marwaha from […]. Four identical resistors are combined in four different ways as shown in the diagram below. In Figure b, an equivalent resistor has replaced the parallel resistors. ANSWERS - AP Physics Multiple Choice Practice - Circuits Solution Answer 3. Resistors in Series - Calculate Total:. [3] TI recommends the use of a Series termination on EMU signals and an ac termination on TCK. Let total resistance = R. The are over 60 fully solved circuit problems in this class. If you connect two, 1/4 watt, 100 ohm resistors across one another (i. Problem 1 Given three resistors shown below, Find the total resistance of A-B! Solution. gif - Water pipe analogy of an Inductor. Resistors are in series if the same current must pass sequentially through them. Remember how, for two resistors in series, you could just add the resistances: R series = R 1 + R 2 to get the resistance of the series combination. CHAPTER 9 : SERIES, PARALLEL, AND SERIES-PARALLEL CIRCUITS 1. Here we have a series circuit with a battery, an LED and a resistor. It encompasses. This site features information about discrete event system modeling and simulation. What this means is that in any parallel circuit, the sum of the resistances will always be less than the value of the smallest resistor. A combination circuit is one that has a "combination" of series and parallel paths for the electricity to flow. 16-4 Impedance and Admittance of Parallel RL Circuits. • • Apply Kirchoff's s laws laws to find currents and voltages in complex circuits. Calculate the voltage drop of a current across a resistor using Ohm’s law. Then the resultant is (1 k × 10 k)/ 11 k = 0. In that section, it was emphasized that the act of adding more resistors to a parallel circuit results in the rather unexpected result of having less overall resistance. You home is wired in A. The following animation is interactive: by clicking on the button, you can generate a random equation and its solutions appear at the same time. The + and − signs show the terminals of each combination. Essential Physics Chapter 18 (DC Circuits) Solutions to Sample Problems PROBLEM 2 - 15 points Three resistors, of resistance 4. The combination has resistance R23 = (1 R2 + 1 R3)−1 = (1 R + 1 R)−1 = R/2 Similarly, he potentials across resistors R4 and R5 are the same, so R4 and R5 are in. There is one list for series and another for parallel. Given two resistors, R1 and R2, in parallel, the equivalent resistance, Rt, is: That is, for a set of parallel resistors, the reciprocal of their equivalent. This circuit is composed of 3 'elements' connected in series: the group of parallel resistors between A and B, the single resistor R3, and the group of parallel resistors between C and D. larger amount of power if the resistors are in series? (b) In parallel? Explain. 2) In a hybrid circuit, resistors 1, 2, and 3 are a series circuit. ) Examining Figure 14. The question is will it do any damage to my parallel port by using pullup resistors on the breakout board so that pins 1 to 17 are at 5. 521mA Since this is a series circuit, the current found for the total will also be the current flowing through. What value is the same for any two capacitors in series Why !. The resistor will probably have to be mounted on a heat sink. There are many types of parallel circuit problems. Resistors are in series if the same current must pass sequentially through them. Now, you can combine the two resistors in the combination. Resistors in Series: When resistors are joined from end to end, it is called in series. What to consider Capacitors in series are mathematically like resistors in parallel 10 pF in series with 10 pF = 5 pF 10 F in series with 10 F = 5F 5 pF in series with 5 F = 5pF 10 Sample Problem What to consider 16 resistor is in parallel with the 60V source When shorting the source for RTH, 16 is also shorted. 9) to be in the sonic region. Resistors can be combined in simple circuit arrangements that increase or decrease the overall resistance in the circuit. Resistors that have both of their respective terminals connected to each terminal of another resistor or resistors are said to be connected in PARALLEL. series and parallel circuits lab. The negative sign comes from the direction. The voltage drop across the battery VT will be the total sum of the individual drops. Therefore, in a series circuit, the. Operational amplifiers and instrumentation amplifiers ICs can provide excellent performance, but some basic application mistakes can degrade the results. Resistors in Series: When resistors are joined from end to end, it is called in series. 2 Series/Parallel Resistance Combinations : Resistances in Series, Resistances in Parallel,. You will need to use current dividers and have a good understanding of looping like parts of the circuit together to finally break it down into an easier circuit. you must always have identical resistors in each branch. Sometimes, in the same circuit, resistors can be connected in parallel and series, across different loops to produce a more complex resistive network. The following formulas provide solutions to series gas flow problems which must be solved with more precision than can be obtained by use of the graph above. Such a problem I would try to solve by some infinite series of resistors. ] A 650-ohm and an 1800-ohm resistor are connected in series with a 12-v battery. While it may not be entirely intuitive, the equation for the equivalent resistance of parallel-connected resistors is given by an equation with several reciprocal terms. ; Arkani-Hamed, J. Resistors are in series if the same current must pass sequentially through them. Once you have this result, place it into one of the boxes and insert into the other boxes the. 08 µF in series combination, 13. In some electrical and electronic circuits it is required to connect various resistors together in "BOTH" parallel and series. for a number of resistors connected in series series and in parallel. As an example, if three resistors having values of 1 kohm, 2 kohm and 3 kohm are placed in series then the total resistance is 1 + 2 + 3 kohm = 6 kohm. During braking the motors continue to run due to the kinetic energy of train and act as self-excited dc series generators generating emfs. If we encounter three resistors in series, we know that the sum of the current through all three resistors is equal to the current in the wire before it divides into three parallel branches. The term DC is used to refer to power systems that use refer to the constant (not changing with time), mean (average) or zero-frequency voltage or current. The lucky winner of the Electrical Circuits Contest #1 is Kunal Marwaha from […]. Example 1: The following diagram shows a circuit that has 2 parallel resistors in series with a third resistor. Use the appropriate list of major features for series or parallel connections to solve for the unknowns. Thus the parallel connection is characterized by: 1. 19Ω +12V +-20 30 5 12. Revision Questions for Electricity (See also Mains Electricity). (credit: Airman 1st Class Mike Meares, United States Air Force) Learning Objectives 21. Specially those that go :poof: and the ones that leak. How do you calculate the total resistance of a parallel circuit? The Effective Resistance of Resistors Connected in Parallel There are three important characteristics in a parallel circuit: (a) The potential difference is the same across each resistor. What this means is that in any parallel circuit, the sum of the resistances will always be less than the value of the smallest resistor. Part B: Problems (Thinking and Inquiry - 20 marks, Communication - 14 marks, Making Connections - 14 marks) Circuit Diagrams - Draw series and parallel circuits and calculate current, voltage and resistance Calculations using GRASS method (R=V/I) Cost of operating an appliance Describe 2 sources of electrical energy. (In this arrangement, all. EECE251 Circuit Analysis I Set 4: Capacitors, Inductors, and First-Order Linear Circuits Shahriar Mirabbasi Department of Electrical and Computer Engineering University of British Columbia [email protected] Many circuits have a combination of series and parallel resistors. Let's look at two resistors at a time. Solved Problems on Combination of Resistors. In the circuit above or where i is the current flowing through all the resistors. This includes the difference between series and parallel circuits, and how this influences the current and potential difference. Problem Find and : Solution Three resistors are in series and their equivalent, , is parallel with the voltage source. Instructors Section 1: Çağatay Candan, EZ-11A. Use the appropriate list of major features for series or parallel connections to solve for the unknowns. As discussed above, the first step is to simplify the circuit by replacing the two parallel resistors with a single resistor that has an equivalent resistance. parallel 17. Similarly, the resistance between A and D is given by 6 × 6 / 6 + 6 = 3 W. A circuit in which some of the components are series connected, while other components are parallel connected, is called a series-parallel or _____ circuit. Most electronic circuits fall into this category. Draw a circuit with resistors in parallel and in series. Determine the effective capacitance for C 1 and C 2 connected in series and in parallel. The Following Section consists Multiple Choice Questions on Series-Parallel Circuits. ) with full confidence. contains only an independent voltage source in series with an impedance (resistor) such that the current-voltage relationship at the load is unchanged. As the student will learn later, these same concepts of series and parallel resistor arrangements apply to capacitors and inductors in the steady state solution of electric circuits. Series and Parallel Connections. EXPERIMENT 3 Resistors in Series and in Parallel Print this page to start your lab report (1 copy) Print 2 copies of this file (data page) OBJECT: 1. Reveal answer Hide. Series/parallel drivetrains. Let's solve some numerical example problems to better learn it. 21 CIRCUITS, BIOELECTRICITY, AND DC INSTRUMENTS Figure 21. So this is a very simple series parallel circuit , however something many beginners do this with a breadboard while learning so it is important to understand how to do this calculation. Therefore, network AEF reduces to a parallel combination of two resistors of 6 W each. Many circuits have a combination of series and parallel resistors. From the IC you can generate multiple voltages to power the various devices inside a phone, including the proce. Determine whether resistors are in series, parallel, or a combination of both series and parallel. Note 2: Total current is equal to the sum of the currents of all parallel resistors Note 3: Total power is equal to the sum of power of all parallel resistors Note 4: Voltage is the same across each of the parallel resistors. Draw a circuit with a 6. Topic:’Physical’Science’1’Energy. Calculate the voltage drop of a current across a resistor using Ohm’s law. Series-Parallel Circuit Analysis: Practice Problems Circuit 1 By Patrick Hoppe. NCERT Class 10 Science Lab Manual Resistors in Parallel Introduction. Hence, we should either connect the two resistors in series or parallel. Its properties are a combination of the two. Get information on resistors, inductors and capacitors. In these cases, one applies the series or parallel formula to reduced the problem step by step. Firstly, you will need to work out the value of the three resistors in parallel (the formula is on the page above). This new version of the CCK adds capacitors, inductors and AC voltage sources to your toolbox! Now you can graph the current and voltage as a function of time. 1 Resistances in Series, Parallel, and Series-Parallel Combinations 1. Explain why total resistance of a parallel circuit is less than the smallest resistance of any of the resistors in that. solutions, and resources from industry. For example, if you have a circuit where two resistors are in series with each other, and parallel to a third resistor, you can find the equivalent resistance of the two series resistors first, and then find the equivalent resistor of that value in parallel with the third resistor. 1:32 BREAK IT DOWN: We redraw the circuit in linear form to more easily identify series and parallel relationships. (Not all network problems can be solved this way though. We will see capacitors in parallel first. Examine the circuit diagram to make this assessment. This is an interesting question. centripetal force lab pdf. R = 1000 Ω; the total resistance in the circuit is then. A 15 A circuit operating at 120 V consumes 1,800 W of total power. solutions, and resources from industry. Series & Parallel Circuit Practice Problems Name: % ham. When they are connected in series, we can find that the current will be the same across all of them and the supplied voltage across them is distributed proportional to the resistance. For which type of circuit is overloading a problem? A. My guess is the reason is because often the authors are not university professors who have forgotten how to speak to beginners. An ac termination includes a resistor (R) and a capacitor (C). (A) Resistors in Series. Then we can apply what we know about series and parallel combinations. Attach various load resistors to the original circuit. Resistors A resistor represents a given amount of resistance in a circuit. Part C For the combination of resistors shown, find the equivalent resistance between points A and B. The two simplest form of connections are series and parallel connections. Calculate the total series and parallel capacitance of a circuit using DigiKey's Series and Parallel Capacitor calculator. If we encounter three resistors in series, we know that the sum of the current through all three resistors is equal to the current in the wire before it divides into three parallel branches. Resistors in parallel. DC Circuits. Circuit Analysis Two Resistors Connected in Series • 38 E. Series & Parallel Impedance Parameters and Equivalent should be emphasized that these series and parallel equivalent circuits both. Compare series and parallel resistors to the series and parallel rods in Figure 20. Find the equivalent resistance. Calculates the total resistance of two resistors in series and parallel. Question The current flowing in a circuit containing four resistors connected in series is I = 1. SOLUTIONS: PROBLEM SET 3 ELECTRIC CURRENT and DIRECT CURRENT CIRCUITS PART A: CONCEPTUAL QUESTIONS A. Notice there are some circuits that are a combination of series and parallel! Solutions to the first 4 questions: R T = 13 Ω; R T = 4. Spreading the devices on the PC board also spreads the heat. Resistors in Series vs. In a series circuit there is just one path so the charge flow is constant everywhere (charge is not lost or. RinParallel. CHAPTER 9 : SERIES, PARALLEL, AND SERIES-PARALLEL CIRCUITS 1. Explain why total resistance of a parallel circuit is less than the smallest resistance of any of the resistors in that. in series and in parallel. Figure 1-5 shows the symbols commonly used to indicate variable and tapped resistors in schematic diagrams.