Question

The magnetic flux through a coil perpendicular to its plane and directed into paper is varying according to the relation ∅=5t2+10t+5 milliweber. Calculate the EMF induced in the loop at t = 5 sec.​

Answer 1

Given :

Magnetic flux through perpendicular to coil is ∅=5t²+10t+5

milliweber

To Find : EMF induced in loop at

t = 5 seconds

Solution :

•According to Faraday's second law:

Magnitude of induced EMF is directly proportional to the rate of change of magnetic flux linked with the conductor coil.

=> EMF = |d∅/dt |

•Now, ∅ = 5t²+10t+5

d∅/dt = 10t + 10

At t = 5 seconds

d∅/dt = 10(5) +10

d∅/dt = 50 + 10

d∅/dt = 60

EMF = 60 mV

•Hence , Induced EMF in coil at t= 5 seconds is 60 mV