Question

A very small circular loop of area 5*10^-4 square metre and resistance 2 ohm is initially concentric and coplanar with a stationary loop of radius 0.1m.If 1 A constant current is passed through the biggerloop and the smaller loop is rotated abt its diameter with constant angular velocity w.The current induced(in A)in the smaller loop will be?

Answer 1

plz guys help me with this..

Answer 2

Here are some steps to follow to work this out:
-Compute the magnitude of the magnetic field from the larger loop at its center (use the Biot-Savart law, or use an expression you derived in class).
-Compute the magnetic flux \(\Phi_B\) through the little loop. Note that since the loop is spinning, you can write \(\theta = \omega t\) as the angle between the magnetic field and the vector normal to the small loop's area.
-Use Faraday's law \(\mathcal E = - \dfrac{\partial \Phi_B}{\partial t} \) to compute the EMF \(\mathcal E\).
-Use Ohm's law \(V = IR\) to compute the induced current. Note that here \(V = \mathcal E\).