The induced electromotive force (emf) in a coil is related to the rate of change of current through the coil by Faraday's law of induction, which is given by:
where:
- is the induced emf,
- is the self-inductance of the coil,
- is the rate of change of current.
From this equation, we see that the induced emf ( ) is directly proportional to the rate of change of current ( ) and the self-inductance of the coil. Therefore, the coil with the steeper slope in the plot will have a greater value of self-inductance.
Analyzing the Plot:
- In the plot, coil 1 has a steeper slope than coil 2, which means that for the same rate of change of current ( ), coil 1 produces a larger induced emf.
- According to the relationship , a larger induced emf for the same rate of change of current implies a larger value of self-inductance.
Thus, coil 1 has a greater value of self-inductance than coil 2.
