Ratio of thermal energy released in two resistors R and 3R connected in parallel in an electric circuit is:
Show Hint
For power dissipation in parallel circuits:
• Power is inversely proportional to resistance in parallel arrangements.
• Compare power ratios directly using \(P ∝ 1/R\).
- 1 : 1
- 1 : 3
- 1 : 27
- 3 : 1
The Correct Option is D
Solution and Explanation
- The power dissipated in a resistor is:
\[ P = \frac{V^2}{R}. \]- For \( R \): \( P_1 \propto \frac{1}{R} \), and for \( 3R \): \( P_2 \propto \frac{1}{3R} \).
- The ratio of powers:
\[ \frac{P_1}{P_2} = \frac{3R}{R} = 3 : 1. \]Top Questions on LCR Circuit
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