Question

If a 200 turn, 10-3 m2 cross-sectional area coil is immersed in a magnetic field such that the plane of the coil is perpendicular to the field. If the magnetic field increases by 6 T/s, then how much voltage is induced

Answer 1

1.2 volt induced in coil.

Step-by-step explanation:

Given:

Number of turns
`N = 200`

Cross sectional area
`A = 10^(-3)`
`m^(2)`

Rate of increasing magnetic field
`(dB)/(dt) = 6`
`(T)/(s)`

From the faraday's law,

Induced emf is given by,

`\epsilon = -N(d \phi)/(dt )`

Where
`\phi =` magnetic flux

`\phi = AdB \cos(0)` ( because angle between normal coil and field is zero)

Where
`A =` area of coil

Put the value of
`\phi` in above equation,

Here we neglect minus sign

`\epsilon = NA(dB)/(dt)`

`\epsilon = 200 * 10^(-3) * 6`

`\epsilon = 1.2` V

Therefore, 1.2 volt induced in coil