A wire loop with an area of 100 cm2 is in a magnetic field with an induction of 5 T. The plane of the loop

A wire loop with an area of 100 cm2 is in a magnetic field with an induction of 5 T. The plane of the loop is perpendicular to the field lines. Determine the average value of the EMF of the induction that occurs when the field is turned off in 0.01 s.

B0 = 5 T.

B = 0 T.

t = 0.01 s.

S = 100 cm2 = 0.01 m2.

∠α = 0 °.

EMF -?

The electromotive force of the EMF induction is directly proportional to the rate of change of the magnetic flux: EMF = – ΔF / t – Faraday’s law.

The change in magnetic flux ΔФ is expressed according to its definition: ΔФ = Δ (B * S) * cosα.

Since the area of ​​the frame S does not change, then ΔФ = S * cosα * ΔB.

The change in magnetic flux ΔB is found by the formula: ΔB = B – B0.

When the magnetic field is turned off, B = 0, ΔB = – B0.

The formula for determining the EMF of induction will take the form: EMF = B0 * S * cosα / t.

EMF = 5 T * 0.01 m2 * cos0 ° / 0.01 s = 5 V.

Answer: EMF = 5 V appears in the wire loop.