The H amount of thermal energy is developed by a resistor in 10 s when a current of 4 A is passed through it. If the current is increased to 16 A, the thermal energy developed by the resistor in 10 s will be [2023]

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Solution

Q.
The H amount of thermal energy is developed by a resistor in 10 s when a current of 4 A is passed through it. If the current is increased to 16 A, the thermal energy developed by the resistor in 10 s will be [2023]

1 $H$

2 $16 H$

3 $\frac{H}{4}$

4 $4 H$

Ans.
(2)

$H \propto i^{2} for t = constant$

$\frac{H}{H'} = {(\frac{4}{16})}^{2}$

$H' = 16 H$

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