The self inductance of the motor of an electric fan is 10 H . In order to impart maximum power at 50 Hz , it should be connected to a capacitance of: - Physics MCQ AIEEE 2026 | ExamTest.live

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The self inductance of the motor of an electric fan is 10 H . In order to impart maximum power at 50 Hz, it should be connected to a capacitance of:

Solution & Step-by-step Explanation

Maximum power is imparted at resonance, where X_{L} = X_{C} . ω L = \frac{1}{ω C} ⟹ C = \frac{1}{ω ^{2} L} Given f = 50 Hz ⟹ ω = 2 π f = 100 π . C = \frac{1}{( 100 π ) ^{2} \cdot 10} = \frac{1}{1 0 ^{4} \cdot π ^{2} \cdot 10} \approx \frac{1}{1 0 ^{5} \cdot 10} = 1 0^{- 6} F (Using π^{2} \approx 10). C = 1 μ F .

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The self inductance of the motor of an electric fan is 10 H . In order to impart maximum power at 50 Hz, it should be connected to a capacitance of:

4 μ F

8 μ F

1 μ F

2 μ F

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