A very small circular loop of area `5xx10^(-4)m^(2)` , resistance `2Omega` and negligible inductance is initially coplanar and concentric with a much larger fixed circular loop of radius `0.1m` . A constant current of `1A` is passed in the bigger loop and the smaller loop is rotated with angular velocity `omega rad//sec` about a diameter. Calculate (a) the flux linked with the smaller loop, (b) induced emf (c) induced current in the smaller loop, as a function of time.

Explanation

To solve the problem step by step, we will address each part of the question systematically.

### Given Data:
- Area of the smaller loop, \( A = 5 \times 10^{-4} \, m^2 \)
- Resistance of the smaller loop, \( R = 2 \, \Omega \)
- Radius of the larger loop, \( r = 0.1 \, m \)
- Current in the larger loop, \( I = 1 \, A \)
- Angular velocity of the smaller loop, \( \omega \, \text{(rad/sec)} \)
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