Construction of an AC Generator
An AC generator converts mechanical energy into electrical energy based on electromagnetic induction.
It consists of:
1. Armature Coil (\( ABCD \)): A rectangular coil rotates inside a magnetic field.
2. Magnetic Field: Created using permanent magnets or electromagnets.
3. Slip Rings (\( S_1, S_2 \)): Connected to the coil, providing continuous contact.
4. Brushes: Connect the slip rings to the external circuit.

Working of an AC Generator
- The coil rotates in the magnetic field due to external mechanical energy.
- According to Faraday’s Law of Electromagnetic Induction, an EMF is induced: \[ \mathcal{E} = B L v \sin\theta \] - The induced current alternates because the coil changes orientation every half cycle.
- The output AC voltage follows: \[ \mathcal{E} = \mathcal{E}_0 \sin \omega t \]
A 100 W resistor is connected to a 220 V, 50 Hz ac supply.
(a) What is the rms value of current in the circuit?
(b) What is the net power consumed over a full cycle?