Current Electricity and Electrical InstrumentHard

Question

In the fig. the potentiometer wire AB of length L & resistance 9 r is joined to the cell D of e.m.f. ε & internal resistance r. The cell C′s e.m.f. is ε/2 and its internal resistance is 2r.  The galvanometer G will show no deflection when the length AJ is:

Options

A.4L/9
B.5L/9
C.7L/18
D.11L/18

Solution

Current in primary circuit.  I =
Potential drop across length AB = VAB = I.R
VAB = =
x =
For balance point = x l = l.       l = L

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