First slide

Electrical power

Question

in the circuit shown, for what value of R, power dissipated in the external circuit is maximum when the value of R is

Moderate

A

3 $Ω$
B

1.5 $Ω$
C

1 $Ω$
D

4.5 $Ω$

Solution

Power in the external circuit is maximum when equivalent external resistance is equal to the internal resistance of the cell.
$∴ \frac{3 \times R}{3 + R} = 1 .5 \Rightarrow R = 3 Ω$

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