Question

A square loop of side 5 cm is placed with the nearest side 7 cm from a long wire carrying a current that varies with time at a constant rate of 7 A/s. (Assume the loop and the wire lie in the same plane. Further assume I = 0 at t = 0. Enter the magnitudes.)

(a) Use Ampère's law and find the magnetic field from the current in the wire as a function of time and distance r from the wire. (Use the following as necessary: μ0, r, and t. Assume B is in teslas, r is in meters and t is in seconds. Do not include units in your answer.)

B(r, t) = Correct: Your answer is correct.

(b) Determine the magnetic flux through the loop. (Use the following as necessary: μ0 and t. Assume Φ is in T · m2 and t is in seconds. Do not include units in your answer.)

Φ(t) = Incorrect: Your answer is incorrect.

(c) If the loop has a resistance of 3 Ω, how much induced current flows in the loop (in nA)? nA

Answer b and c please.

Answer 1