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Question

Find the potential difference VaVb in the circuits shown if figure (32-E12).

Figure 32 - E12

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Solution

In circuit ab baa. E2+iR2+iR3=0

iR2+i1R3=E2

iR2R1+iR3R1=E2R1 ...(1)

andi1R3+E1(ii1)R1=0

E1=i1(R1+R3)iR1

E1R2=iRiR2+i1R2R3iR1R2 ...(2)

Adding (1) and (2), we get

i1R1R2+i1R3R1+i1R2R3

=E1R2E2R1

i1(R3R1+R2R1+R2R3)

=E1R2E2R1

i1=E1R2E2R1R3R1+R2R1+R2R3


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