PLUS Halliday, Fundamentals of Physics, 10e GENERAL PHYSICS (201/202/301) Study

Question

PLUS Halliday, Fundamentals of Physics, 10e GENERAL PHYSICS (201/202/301) Study & Practice Gradebook ORION Downloadable eTextbook pen Assignment FULL SCREEN PRINTER VERSION 4 BACK NEXT Chapter 27, 2 Chap oblem oblem oblem In the figure the ideal batteries have emfs E 5.26 V and E - 11.2 V, the resistances are each 2.31 0, and the potential is defined to be zero at the grounded point of the circuit. What are potentials (a)V, and (b)V2 at the indicated points? oblem ncent (a) Number Units by Study (b) Number Click if you would like to Show Work for this question: Qpen Show Work plus.com test/bolst. uni?id sasnmt22087 LS#N 10053 10:28 PM /13/2018

Explanation / Answer

R4 and R5 are in parallel.

equivalent resistance=R4*R5/(R4+R5)

=1.155 ohms

net resistance in the circuit=R1+R2+R3+1.155

=8.085 ohms

current in the circuit=(E2-E1)/total resistance

=0.7347 A, in anticlockwise direction

writing voltage drop equation from the node marked V1 till ground node:

V1+E2-current*1.155=0

==>V1=-E2+0.7347*1.155=-10.351 volts

writing voltage drop equation between node marked with V1 and node marked with V2:

V2-R3*current=V1

==>V2=V1+2.31*0.7347

=-8.6543 volts

hence the answers are:

part a:

V1=-10.351 volts

part b:

V2=-8.6543 volts

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