Step 1: Identify the number of turns in the coil, which is given as 100 turns (N = 100).
Step 2: Determine the initial magnetic field (B_initial) and the final magnetic field (B_final). Here, B_initial = 0.2 T and B_final = 0.5 T.
Step 3: Calculate the change in magnetic field (dB) by subtracting B_initial from B_final: dB = B_final - B_initial = 0.5 T - 0.2 T = 0.3 T.
Step 4: Identify the time duration (dt) over which the change occurs, which is given as 2 seconds.
Step 5: Calculate the rate of change of the magnetic field (dB/dt) by dividing the change in magnetic field (dB) by the time duration (dt): dB/dt = dB / dt = 0.3 T / 2 s = 0.15 T/s.
Step 6: Use the formula for induced EMF (ε): ε = -N(dB/dt). Substitute the values: ε = -100 * 0.15 T/s.
