A circular coil of radius 2.00 cm has 50 turns. A uniform magnetic field B= 0.200 T exists in the space is a direction parallel to the axis of the loop. The coil is now rotated about a diameter through an angle of `60.0^@`. The operation takes 0.100 s. (a) find the average emf induced in the coil. (b) if the coil is a closed one(with the two ends joined together) and has a resistance of `4.00 Omega`. calculate the net charge crossing a cross- section of the wire of the coil.

Explanation

To solve the problem step by step, we will break it down into two parts as requested.

### Given Data:
- Radius of the coil, \( r = 2.00 \, \text{cm} = 0.02 \, \text{m} \)
- Number of turns, \( N = 50 \)
- Magnetic field strength, \( B = 0.200 \, \text{T} \)
- Angle of rotation, \( \theta = 60^\circ \)
- Time taken for rotation, \( t = 0.100 \, \text{s} \)
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