Question

The unit of inductance is
A. Volt/Ampere
B. Joule/Ampere
C. Volt-sec/ampere
D. Volt-ampere/sec

Answer 1

Hint:The inductor is the one in which the device stores energy in the form of a magnetic field. If a time-varying current flowing through the coil there will be an induced emf in it. His induced emf across the coil is directly proportional to the rate of change of current through it. The unit of inductance is directly proportional to induced flux and inversely proportional to the current flowing through the flux. Based on this we can derive the SI unit of inductance.

Complete step by step solution:
The definition of inductance can be stated as the ability of an inductor or conductor to oppose the change in the current flowing through it. This opposition of the current flowing through it can be done by the inductor through the e.m.f produced within the inductor as a result of their changing magnetic field.
We can derive the unit of inductance as follows,
As we said the voltage will be induced from the e.m.f which can be written as,
\[e = L\dfrac{{dI}}{{dt}}\]
If we substitute the corresponding S.I unit of the above terms,
\[volt = L\left( {\dfrac{{Ampere}}{{\sec ond}}} \right)\]
So the SI unit is volt- second/ampere.

Additional Information:
Inductance property is found in most of the electric coils. This property is found in the electric coils where an induced emf is generated in a coil when there is a change in the flux. This is known as the induction effect. . It is based on the geometry of the circuit conductor and magnetic permeability of adjacent materials.
Faraday’s law of inductance states that any change in the magnetic field through a circuit induces an electromagnetic force (EMF) in the form of voltage in the conductors.

Note:
There are many applications of inductance. One normal utilization of inductance is utilized in traffic signals that can tell when vehicles are holding up at the convergence. An electrical circuit with an inductor is set in the street under the spot a holding-up vehicle will stop by. The body of the vehicle expands the inductance and the circuit changes, conveying a message to the traffic signals to change colors.
There are also other SI units for inductance. They are,
\[{\text{Henry}}\]
\[{\text{joule/ampere}}{{\text{e}}^{\text{2}}}\]
\[{\text{Milli - henry}}\] (\[mH\])
\[{\text{Nano - henry}}\]