Question

The magnetic flux in a coil of 100 turns increases by 12×10^3 Maxwell in 0.2 s due to the motion of a magnet the emf induced in the coil will be

Answer 1

Answer:

The emf induced in the coil = $\rm 6.0\times 10^{-2}\ Volts.$

Explanation:

Given:

• The number of turns of the coil, N = 100.
• Change in magnetic flux, $\rm d\phi = 12\times 10^3\ Maxwell=12\times 10^3\times 10^{-8}\ Weber.$

• Time interval in which the magnetic flux is changed, $\rm dt = 0.2\ s.$

According to the Faraday's law of electromagnetic induction, the emf induced in the coil is given by

$\rm e=-N\dfrac{d\phi}{dt}\\=-100\times \dfrac{12\times 10^3\times 10^{-8}}{0.2}\\=-6.0\times 10^{-2}\ Volts.$

The negative sign indicates that the emf is induced in such a direction that it opposes the change in magnetic flux through the coil.