A circular coil of radius 20 cm and 500 turns and total resistance 5.0 `Omega` is placed with its plane vertical in such a manner that east-west line lies on its plane. Horizontal component of Earth's magnetic field is 30 `mu` tesla. Coil is rotated along its vertical diameter by an angle `180^(@)` in 0.5 seconds. Calculate amount of charge circulated through the coil.

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the area of the circular coil
The area \( A \) of a circular coil is given by the formula:
\[ A = \pi r^2 \]
where \( r \) is the radius of the coil. Given that the radius is 20 cm, we need to convert it to meters:
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