A uniform magnetic field B exists in a cylindrical region of radius 0.1 m as shown in the figure. A uniform wire of length 0.80 m and resistance 4.0Ω is bent into a square frame and is placed with one side along a diameter of the cylindrical region. If the magnetic field increases at a constant rate of 0.010 TS-1. Calculate the current induced in the frame.
[Hint: |ε|= \(\frac{dϕ_B}{dt}=\frac{1}{2}\pi^2\frac{dB}{dt}\)]