An AC generator is constructed using coil of area `2.5 m^(2)` and 500 turns . Coil rotates with an angular velocity of 60 rad/s . Magnetic field applied on coil is 0.6 T. Resistance of the coil is 500 `ohm` . Find the rms current in the coil . If we assume that coil is fixed but instead source of magnetic field is rotated around the coil will the generator work. ?

Explanation

To solve the problem step by step, we will first calculate the RMS current in the coil using the given parameters and then address the theoretical question regarding the rotation of the magnetic field.

### Step 1: Identify the given parameters
- Area of the coil, \( A = 2.5 \, \text{m}^2 \)
- Number of turns, \( n = 500 \)
- Angular velocity, \( \omega = 60 \, \text{rad/s} \)
- Magnetic field strength, \( B = 0.6 \, \text{T} \)
- Resistance of the coil, \( R = 500 \, \Omega \)
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