Explain briefly, with the help of a labelled diagram, the basic principle of working of an a.c. generator. In an a.c. generator, coil of N turns and area A rotating with a constant angular speed ω in a uniform magnetic field B. Write the expression for the emf produced.
A 100-turn coil of area `0.1m^(2)` rotates at half a revolution per second. It is placed in a magnetic field 0.01 T perpendicular to the axis of rotation of the coil. Calculate the maximum voltage generated in the coil.

Explanation

### Step-by-Step Solution

#### Step 1: Understanding the Basic Principle of an AC Generator
An AC generator operates on the principle of electromagnetic induction. When a coil of wire is rotated in a magnetic field, the magnetic flux through the coil changes, inducing an electromotive force (emf) in the coil.

**Hint:** Recall Faraday's law of electromagnetic induction, which states that a change in magnetic flux induces an emf.

#### Step 2: Labelled Diagram of an AC Generator
...