Independent of time
Independent of change in flux
Independent of resistance in the circuit
None of the above
?
By Team Aakash Byju's | 13th December 2022
Detailed Explanation
According to Faraday’s Law of Electromagnetic Induction, the induced emf E in the coil is given as
E =
-
dO
dt
Where, Φ is the magnetic flux in the coil t is the time interval
The negative sign in the equation indicates that the induced emf opposes the change in flux. Further, according to Ohm’s Law
E = iR
where, i is the induced current and R is the resistance.
Also, the induced current is a change in charges passing through a cross of the conductor with respect to time.
i =
dq
dt
Correlate all equations to one another as follows:
E =
-
dO
dt
and
E = iR
=> -
dO
dt
= iR
since i=
dq
dt
=> -
dO
dt
dq
dt
=
R
=> dq = -
dO
R
Thus, the induced charge in the coil is dependent on the change in flux and not on the time for which the flux is changing.