The magnetic field increases uniformly from 0 to 1.5T in 10s. The circular loop
ID: 1262610 • Letter: T
Question
The magnetic field increases uniformly from 0 to 1.5T in 10s. The circular loop of copper wire (1.7x10^-8 ohm m) has a radiuim of 0.1m and the wire itself has a radius of 0.001m. Determine the total charge that passes by a point in the wire during that 10s. Would your answer change if it took 20s to change instead? Explain.
The magnetic field increases uniformly from 0 to 1.5T in 10s. The circular loop of copper wire (1.7x10^-8 ohm m) has a radiuim of 0.1m and the wire itself has a radius of 0.001m. Determine the total charge that passes by a point in the wire during that 10s. Would your answer change if it took 20s to change instead? Explain.Explanation / Answer
The third Maxwell equation states that rot E = - dB / dt => fem = -dPhi / dt, where fem is the elctromotive force induced by the varying magnetic flux through the circuit. Having determined fem, it is straightforward to calculate the current through the wire by means of the Ohn's law as fem = R I = r dQ / dt. The problem allow to calculate the resistance R since it gives the radius of the wire and the resistivity.
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