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Parallel Combination of Cells

A cell sends ...

Question

A cell sends a current $i_{1}$ through a coil of resistance $R_{1}$ and a current $i_{2}$ through a coil of resistance is $R_{2}$ . The emf of the cell is

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Solution

The correct option is B

$i_{1} = \frac{E}{R_{1} + r} where is the terminal resistance of the cell r = \frac{E - i_{1} R_{1}}{i_{1}} o r i_{2} = \frac{E}{R_{2} + r} A l s o E = i_{2} R_{2} + i_{2} r = i_{2} R_{2} + i_{2} (\frac{E + i_{1} R_{1}}{i_{1}}) Simplifying, we get E= \frac{i_{1} i_{2} (R_{2} - R_{1})}{i_{1} - i_{2}}$

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A cell sends a current i1 through a coil of resistance R1 and a current i2 through a coil of resistance is R2. The emf of the cell is

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