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 capacitor. Then what is the value of capacitance?

Given in the question :Inductance = 10 HFrequency of fan = 50 HzWe know Resonance is the condition in which maximum power is achieved in an LR circuit.Thus, for maximum power in LR circuit : XL = XCωL=1ωC⇒C=1ω2L=14π2f2L(sin⁡ceω=2πf)C=14×10×(50)2×10=10−6F