Ratio of thermal energy released in two resistor R and 3R connected in parallel in an electric circuit is [2023]

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Solution

Q.
Ratio of thermal energy released in two resistor $R$ and $3 R$ connected in parallel in an electric circuit is [2023]

1 3 : 1

2 1 : 1

3 1 : 3

4 1 : 27

Ans.
(1)

$H = \frac{V^{2}}{R} \times t$

$\frac{H_{1}}{H_{2}} = \frac{\frac{V^{2} t}{R}}{\frac{V^{2} t}{3 R}} = 3 : 1$

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