Correct Answer - Option 1 : 1 A / second
Concept:
Self-inductance: Self-inductance is the phenomenon where a current-carrying coil resists the change in the current flowing through it.
- The resistance to the change in current is due to the induced emf in the coil.
- The direction of the induced emf is opposite to the applied voltage if the current is increasing and the direction of the induced emf is in the same direction as the applied voltage if the current is decreasing.
- The unit of inductance is Henry (H).
The induced emf is related to the change in current as follows:
\(e = - L \frac{di}{dt}\)
Where e is the induced emf, L is the self-inductance of the coil, and di/dt is the rate of change of current in the coil.
Calculation:
Given that, self-inductance (L) = 1 H
EMF (E) = 1 V
\(E = 1 = 1\frac{{di}}{{dt}}\)
\( \Rightarrow \frac{{di}}{{dt}} = 1A/s\)
Therefore, the current flowing through it changes at the rate of 1 A/second
