Question

Chapter 27, Problem 103 In the figure 1 = 6.14 V, 2 = 13.1 V, R1 = 226 Ω, and R2 = 103 Ω. What are the (a) magnitude and (b) direction of the current through resistance 1, the (c) magnitude and (d) direction of the current through resistance 2, and the (e) magnitude and (f) direction of the current through battery 2?

R2

Answer 1

Here,

for the current in the R1

Using KVL

E2 - I1 * R1 = 0

13.1 - I1 * 226 = 0

I1 = 0.058 A

the current through I1 is a) 0.058 A

the direction of current in I1 is b) downwards

Using KVL

6.14 + 13.1 - 103 * I2 = 0

I2 = 0.19 A

the current I2 is c) 0.19 A

d) current in I2 is to left

e) for the current in battery 2

I' = 0.058 + 0.19 = 0.248 A

the current in battery 2 is 0.248 A

f) direction of current is upwards