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: \[ \mathcal{E} = \mathcal{E}_0 \sin \omega t \]
The alternating current \( I \) in an inductor is observed to vary with time \( t \) as shown in the graph for a cycle.

Which one of the following graphs is the correct representation of wave form of voltage \( V \) with time \( t \)?}

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?