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I 1 = A I 2 = A Assume the resistance values are R1 = 2,100 ? and R2 = 1,250 ?,

ID: 2143000 • Letter: I

Question

I1 = A I2 = A Assume the resistance values are R1 = 2,100 ? and R2 = 1,250 ?, and the battery emfs are 1 = 1.7 V and Epsilon2 = 3.5 V. Use Kirchhoff's rules to analyze the circuit in the figure below. Let I1 be the branch current through R1 and I2 be the branch current through R2. Write Kirchhoff's loop rule relation for a loop that travels through battery 1, resistor 1, and battery 2. (Assume the current in the loop flows clockwise in the positive direction. Use the following as necessary: Epsilon1, I1, R1, and Epsilon2. Do not substitute numerical values; use variables only.)

Explanation / Answer

a)

KVL in loop1

-E1+I1R1+E2=0

E2-E1+I1R1 =0----1

b)

KVL in loop2

-E2+I2R2 =0---2

c)

from 1

3.5-1.7+2100I1=0

I1 =8.57*10^-4 A or 0.857*10^-3 A

from2

-3.5+1250I2=0

I2=2.8*10^-3 A