The self-inductance of the motor of an electric fan is 10 H. In order to impart maximum power at

step 1 Hello students in this question we have given the self -inductance of the motor of electrical fa

The self-inductance of the motor of an electric fan is 10 H....

The self-inductance of the motor of an electric fan is $10 \mathrm{H}$. In order to impart maximum power at $50 \mathrm{~Hz}$, it should be connected to a capacitance of
(A) $8 \mu \mathrm{F}$
(B) $4 \mu \mathrm{F}$
(C) $2 \mu \mathrm{F}$
(D) $1 \mu \mathrm{F}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Resonance in AC Circuits

Resonance is a phenomenon in AC circuits where the inductive reactance equals the capacitive reactance. At resonance, these reactive effects cancel each other, resulting in minimal total impedance and optimal conditions for maximum power transfer. This principle is crucial when designing circuits such as motor drives or filters.

Inductance

Inductance is a property of electrical circuits, particularly coils, that quantifies their opposition to changes in current. Measured in Henries, it determines the amount of magnetic flux produced for a given current and introduces inductive reactance in AC circuits, which varies with frequency.

Capacitive Reactance

Capacitive reactance is the opposition a capacitor provides to AC, and it is inversely proportional to both the frequency of the applied voltage and the capacitance value. In circuit design, balancing capacitive and inductive reactances is essential to achieve resonance, where maximum power transfer occurs.

Transcript

Please give Ace some feedback