SOLUTION(a) Find the equivalent resistance of the circuit.R = R, + R, = 8.0 2 + 4.0 2 = 12.0 0eqThe 8.0-2 and 4.0-2 resistors are inseries, so use the sum rule to find theequivalent resistance between a and b.The 6.0-2 and 3.0-0 resistors are in11%3DReq6.0 22.0 QR,Regparallel, so use the reciprocal-sum ruleR,3.0 0to find the equivalent resistance= 2.0 2between b and c (don't forget toinvert!).In the new diagram, figure b, there areR-R, + R, -12.0 Ω+ 2.0 Ω-14.0 Ωeqnow two resistors in series. Combinethem with the sum rule to find theequivalent resistance of the circuit.(b) Find the current in each resistor if a 42-V battery is connected between points a and c.ΔνI =Find the current in the equivalent42 V= 3.0 Aac =Reqresistor in figure c, which is the total14 2current. Resistors in series all carry thesame current, so the value is thecurrent in the 12-2 resistor in figure band also in the 8.0-N and 4.0-2resistors in figure a.Calculate the voltage drop AVparaΔνpara= IR = (3.0 A)(2.0 2) = 6.0 Vacross the parallel circuit, which has anequivalent resistance of 2.0 Q.Apply Ohm's law again to find theΔνpara6.0 V= 1.0 Acurrents in each resistor of the parallel6.0 2R6,0 0circuit.Δνpara6.0 VI2= 2.0 A3.0 2R3,0 0LEARN MOREREMARKS As a final check, note that AV = (6.0 2)I, = (3.0 N)I, = 6.0 V andbcAVh = (12 N)I, = 36 V; therefore, AV= AV + AV = 42 V, as expected.bcасabQUESTION Which of the original resistors dissipates energy at the greatest rate?O the 8.0 2 resistorO the 4.0 2 resistorO the 6.0 Q resistorO the 3.0 N resistorEXERCISEHINTS: GETTING STARTED| I'M STUCK!Suppose the series resistors in the example are now 4.00 and 2.00 2 while the parallel resistors are4.00 N (top) and 2.00 2 (bottom), and the battery provides an emf of 76.0 V.(a) Find the equivalent resistance.Reg(b) Find the currents I, I,, and I,.I =AAI2 =A

Answered: Image /qna-images/answer/3736ede2-a63b-46e1-89a4-b89541b7b86e.jpg

Suppose the series resistors in the example are now 4.00 N and 2.00 N while the parallel resistors are 4.00 N (top) and 2.00 N (bottom), and the battery provides an emf of 76.0 V. (a) Find the equivalent resistance. Ω R `eq (b) Find the currents I, I,, and I2. |A I2

Suppose the series resistors in the example are now 4.00 N and 2.00 N while the parallel resistors are 4.00 N (top) and 2.00 N (bottom), and the battery provides an emf of 76.0 V. (a) Find the equivalent resistance. Ω R `eq (b) Find the currents I, I,, and I2. |A I2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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