COMEDK 2024 Shift 1 Paper

The coefficient of mutual induction, commonly denoted by M, is defined by the relationship between the induced electromotive force (EMF) in one coil and the rate of change of current in another coil. According to Faraday's Law of Induction, the induced EMF(E) in a coil is given by:
E=−M‌

dI

dt

Where:
E is the induced EMF in volts (V).
M is the mutual inductance.
‌

dI

dt

is the rate of change of current in amperes per second (A∕s).
Rearranging this equation to solve for M, we get:
M=−‌

E

dII d

From this relationship, the units of M can be derived. The unit of EMF(E) is volts (V), and the unit of ‌

dI

dt

is amperes per second (A∕ s). Thus, the unit of the coefficient of mutual induction is:
M=‌

v

A∕ s

=volt⋅‌ second ‌∕ampere
Therefore, the correct unit for the coefficient of mutual induction is:
Option A: volt. second / ampere