Question

A conducting loop of area 1m² is placed normal to a uniform magnetic field of 3 Wb/m². If the magnetic field is uniformly reduced to 1 Wb/m² in 0.5 second, calculate the induced emf produced in the coil.

Answer 1

Given: A = 1m²

B₁ = 3 Wb/m²

B₂ = 1 Wb/m²

dt = 0.5 s

e = `- (d phi)/dt`

= `- d/dt phi`

= `- d/dt BA`

= `-A (dB)/dt`

= `-A[(B_2 - B_1)/dt]`

= `-1[(1 - 3)/0.5]`

= 4 V