Answer:
dB / dt = -141.47 T / s
Explanation:
For this exercise let's use Faraday's law to calculate the induced electromotive force
E = - N dФ / dt
the magnetic flux is
Ф = B. A
in this case the direction of the field and the normal to area are parallel so the scalar product is reduced to the algebraic product
Ф = B A
we substitute
E = - N A dB / dt
the area of the loop is
A = π r²
we substitute
E = - N π r² dB / dt
in the exercise indicate that the resistance of the coil is R = 50.0 Ω,
E = i R
we substitute
i R = -N π r² dB / dt
dB / dT = - i R / N π r²
let's calculate
dB / dt = - 5.00 50.0 / (100 π 0.075²)
dB / dt = -141.47 T / s
