Question

A constant magnetic field passes through a single rectangular loop whose dimensions are 0.42 m x 0.54 m. The magnetic field has a magnitude of 1.7 T and is inclined at an angle of 71o with respect to the normal to the plane of the loop. (a) If the magnetic field decreases to zero in a time of 0.42 s, what is the magnitude of the average emf induced in the loop

Answer 1

`0.29887\ \text{V}`

Step-by-step explanation:

A = Area =
`0.42*0.54\ \text{m}^2`

B = Magnetic field = 1.7 T

`\theta` = Angle that magnetic field makes with the plane of the loop =
`71^(\circ)`

t = Time = 0.42 s

EMF is given by

`\varepsilon=A\cos\theta(dB)/(dt)\\ =(0.42* 0.54*\cos 71^(\circ)* 1.7)/(0.42)\\ =0.29887\ \text{V}`

The magnitude of the average emf induced in the loop is
`0.29887\ \text{V}`.