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Potential Energy

In the circui...

Question

In the circuit shown here,cells A and B have emf $10 V$ each and the internal resistance is $5 Ω$ for A and $3 Ω$ for B. For what value of R will the potential difference across the cell A will be zero?

A

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B

1 o h m

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C

2 o h m

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D

3 o h m

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Solution

The correct option is C $2 o h m$
$V_{A} = 0 = E_{A} - i r A$
$i = \frac{ε_{A}}{v_{A}}$
$i = \frac{10 v}{5 r}$
$i = 2 A$
$I = \frac{v}{R e q}$
$= \frac{v}{R + V_{A} + V_{B}}$
$2 = \frac{2 E}{8 + R}$
$8 + R = 10$
$R = 2 Ω$

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