Question

A rectangular loop with an area of 2 m2 is placed perpendicular to a uniform magnetic field of 1 Tesla. The field’s magnitude is increased to 6 Tesla in 4 seconds. The magnitude of the induced emf is equal to:

Answer 1

Induced emf = 0

Step-by-step explanation:

An emf can be induced due to the change in magnetic field. It can be given by :

`\epsilon=(d\phi)/(dt)\\\\\because \phi=BA\cos\theta\\\\\epsilon=(d(BA\cos\theta))/(dt)\\\\\epsilon=A\cos\theta(dB)/(dt)`

As the loop is placed perpendicular to a uniform magnetic field of 1 Tesla. It means that
`\theta=90^(\circ)` and cos(90) = 0. Hence, the induced emf is equal to 0.