Current Electricity 2 Question 28

28. In the circuit shown in figure E,F,G,H are cells of emf 2, 1 , 3 and 1V respectively, and their internal resistances are 2, 1, 3 and 1Ω respectively. Calculate

(1984,4M)

(a) the potential difference between B and D and

(b) the potential difference across the terminals of each cells G and H.

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Solution:

  1. Applying Kirchhoff’s second law in loop BADB

22i1i112(i1i2)=0

Similarly applying Kirchhoff’s second law in loop BDCB

2(i1i2)+33i2i21=0

Solving Eqs. (i) and (ii), we get

(a) Potential difference between B and D.

VB+2(i1i2)=VDVBVD=2(i1i2)=213V

(b)

VG=EGi2rG=3613×3=2113VVH=EH+i2rH=1+613×1=1913V



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