A frame with an area of S = 200 cm2 with a number of turns N = 200 and a resistance of 16 Ohm

A frame with an area of S = 200 cm2 with a number of turns N = 200 and a resistance of 16 Ohm is in a uniform magnetic field. The magnetic induction vector is perpendicular to the plane of the frame. What charge will flow through the frame when it is rotated through an angle of a = 90? Magnetic field induction B = 10 mT.

To solve the problem, we need the following formulas:
Q = I * Δt;
I = e / R;
e = N * ΔF / Δt = N * B * S / Δt;
From each formula, we expressed what we need to find by the condition of the problem:
Q = N * B * S / R;
Q = 10 ^ -2 * 200 * 200 * 10 ^ -4 / 16;
Q = 2.5 * 10 ^ -3 Cl.
Answer: Q = 2.5 * 10 ^ -3 Cl.