A single loop of wire with an area of 0.0860m^2 is in a uniform magnetic field that has an initial value of 3.80 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.140 T/s.

(a) What emf is induced in this loop?

(b) If the loop has a resistance of 0.600Ω, find the current induced in the loop.

Question

Physics

Beetle

3 January, 23:04

A single loop of wire with an area of 0.0860m^2 is in a uniform magnetic field that has an initial value of 3.80 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.140 T/s.

(a) What emf is induced in this loop?

(b) If the loop has a resistance of 0.600Ω, find the current induced in the loop.

+1

Answers (1)

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Jayvion Doyle · Answer 1

Magnetic field B = 3.8 T

Magnetic flux Φ = BA, A is area

rate of change of flux

= dΦ / dt

d (BA) / dt

= A x dB / dt

=.086 x. 14

emf induced

=.086 x. 14

=.012 V

b)

Current

= induced emf / resistance

=.012 /.6

=.02 A