Question

Chapter 27 Problem 044 GO In the figure R 110 0, Rz-R3-67.0 9, RA 87.9 0, and the Ideal battery has emf e6.00 V (a) What is the equivalent resistance? What is / in (b) resistance 1, (c) resistance 2, (d) resistance 3, and (e) resistance 47 R

Answer 1

a) for the net resistance

Rnet = R1 + 1/(1/R2 + 1/R3 + 1/R4)

Rnet = 110 + 1/(1/67 + 1/67 + 1/87.9)

Rnet = 134.3 Ohm

the net resistance is 134.3 Ohm

b) for the current in R1

i1 = E/Req

i1 = 6/134.3

i1 = 0.0447 A

the current i1 is 0.0447 A

c)

for the voltage across R2

V2 = 6 - 0.0447 * 110 = 1.08 V

for the current in resistance R2

current in R2 = 1.08/67

current in R2 = 0.016 A

d)

current in R3 = 1.08/67

current in R3 = 0.016 A

e)

current in R4 = 1.08/87.9

current in R4 = 0.0123 A