First slide

Electrical power

Question

A battery of internal resistance $2 Ω$ is connected to a variabte resistor whose value can vary from $4 Ω t o 10 Ω$ . The resistance is initially set at $4 Ω$ . If the resistance is now increased, then

Moderate

A

power consumed by it will decrease
B

power consumed by it will increase
C

power consumed by it may increase or may decrease
D

power consumed by it will first increase then decrease

Solution

$P = I^{2} R = {(\frac{V}{R})}^{2} = \frac{ε^{2}}{{(R + r)}^{2}} R$
$ε$ is constant and (R + r) increases rapidly, then P $↓ .$

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