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

Answer:

1.2 volt induced in coil.

Explanation:

Given:

Number of turns $N = 200$

Cross sectional area $A = 10^{-3}$ $m^{2}$

Rate of increasing magnetic field $\frac{dB}{dt} = 6$ $\frac{T}{s}$

From the faraday's law,

Induced emf is given by,

   $\epsilon = -N\frac{d \phi}{dt }$

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

   $\epsilon = NA\frac{dB}{dt}$

   $\epsilon = 200 \times 10^{-3} \times 6$

   $\epsilon = 1.2$ V

Therefore, 1.2 volt induced in coil