A long solenoid, with its axis along the x axis, consists of 240 turns per meter

Question

A long solenoid, with its axis along the x axis, consists of 240 turns per meter of wire that carries a steady current of 15.0 A. A coil is formed by wrapping 30 turns of thin wire around a circular frame that has a radius of 8.00 cm. The coil is placed inside the solenoid and mounted on an axis that is a diameter of the coil and coincides with the y axis. The coil is then rotated with an angular speed of 3.00? rad/s. (The plane of the coil is in the yzplane at t = 0.)

Name formulas used or I wont rate you!!

Explanation / Answer

magnetic field B=uoni

=4.524*10^-3 T

flux=nB.A

but when the coil is rotated, A=Aocos(wt)

where Ao=pi*r^2

so EMF=-dflux/dt

=nB*Aowsin(wt)

=0.0257 sin(wt)

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