Question

A uniform magnetic field vector B is directed out of the page. A loop of wire of area 0.8 m2 is in the plane of the page. At a certain instant, the field has a magnitude of 5.0 T and is decreasing at the rate of 0.5 T/s. The magnitude of the induced emf in the wire loop at this instant is most nearly:_______

Answer 1

Answer: 0.4 V

Step-by-step explanation:

Given

The area of the loop is
`A=0.8\ m^2`

The magnetic field is changing at the rate of
`\dot{B}=-0.5\ T/s`

Induced EMF is given by

`E=-(d\phi )/(dt)\\\\E=-(d(B\cdot A))/(dt)\\\\E=-A(dB)/(dt)\\E=-0.8* (-0.5)\\E=0.4\ V`

The magnitude of induced emf is 0.4 V