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Question

The incorrect option in the given circuit if the reading of ammeter is zero is

A
The value of ε1 will be ε(R+r)R
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B
Current in R is ε1r+R
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C
Value of ε1 will be ε
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D
Potential across 2R is zero.
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Solution

The correct option is C Value of ε1 will be ε

Reading in Ammeter is zero, so the current (i) will only flow in the upper circuit.
Where i=ε1R+r=ir=iR
Here ,VSVR=VQVP=VMVN=ε
Also VSVR=ε1rir=ε1r.ε1R+r=ε1RR+r=ε
ε1=ε(R+r)R
(a) is correct and (c) is incorrect.
no current is flowing through 2R
potential difference across 2R=0
(d) is also correct.

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