A circular coil of radius 10 cm, 500 turns and resistance 2 Omega is placed with its plane prependicular to the horizontal component of the earth's magnetic field. It is rotated about its vertical diameter through `180^(@)` in 0.25 s. Estimate the magnitude of the e.m.f and current induced in the coil. Horizotal component of earth's magnetic field at the place is `3 xx 10^(-5) T`.

Explanation

To solve the problem step by step, we need to calculate the induced electromotive force (e.m.f) and the current induced in the circular coil when it is rotated in a magnetic field.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Radius of the coil, \( r = 10 \, \text{cm} = 0.1 \, \text{m} \)
- Number of turns, \( N = 500 \)
- Resistance of the coil, \( R = 2 \, \Omega \)
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