Question 18: Electromagnetic Induction

Question

Select the unit of the coefficient of mutual induction from the following.

Accepted Answer

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 ( $ \mathcal{E} $ ) in a coil is given by:
$$ \mathcal{E} = -M \frac{dI}{dt} $$
Where:
$ \mathcal{E} $ is the induced EMF in volts (V).
$ M $ is the mutual inductance.
$ \frac{dI}{dt} $ is the rate of change of current in amperes per second (A/s).
Rearranging this equation to solve for $ M $, we get:
$$ M = - \frac{\mathcal{E}}{\frac{dI}{dt}} $$
From this relationship, the units of $ M $ can be derived. The unit of EMF ( $ \mathcal{E} $ ) is volts (V), and the unit of $ \frac{dI}{dt} $ is amperes per second (A/s). Thus, the unit of the coefficient of mutual induction is:
$$ M = \frac{	ext{V}}{	ext{A/s}} = 	ext{volt} \cdot 	ext{second} / 	ext{ampere} $$
Therefore, the correct unit for the coefficient of mutual induction is:
Option A: volt. second / ampere

Answer

volt. second / ampere

Answer

weber. ampere

Answer

ampere / weber

Answer

volt. ampere / second

Electromagnetic Induction

Select the unit of the coefficient of mutual induction from the following.

Choose the correct answer: