Final answer:
To find the average value of the voltage induced in the coil, we can use Faraday's law of electromagnetic induction and the formula for magnetic flux. The average voltage induced is equal to the change in magnetic flux divided by the change in time.
Step-by-step explanation:
To find the average value of the voltage induced in the coil, we can use Faraday's law of electromagnetic induction. According to Faraday's law, the emf (voltage) induced in a coil is equal to the rate of change of magnetic flux through the coil.
The magnetic flux is given by the product of the magnetic field strength, the cross-sectional area of the coil, and the cosine of the angle between the magnetic field and the normal to the coil's plane. In this case, the angle is 90 degrees, so the cosine is 0.
Using the formula for magnetic flux, we can calculate the average value of the voltage induced by dividing the change in magnetic flux by the change in time:
V = (ΔΦ / Δt)