Question

How can you increase the energy stored in an inductor by $4$ times?

Answer 1

A passive electronic device that opposes sudden changes in current is known as an inductor. The symbol used to represent inductance is L. These inductors are coil-like structures that are used in electronic circuits like resistors and capacitors. These inductors decrease or control the electric spikes by storing energy temporarily in an electromagnetic field and then releasing it back into the circuit.

Complete answer:
To answer the above-mentioned question we need to look into the formula that is used for the energy stored in the capacitor. So that we can say what we need to do to increase the energy stored in the inductor by $4$ times.
The formula for the energy stored in the inductance is,
$E = \dfrac{1}{2}L{I^2}$
Here, $E$ is the energy stored in the inductor
$L$ is said to be the inductance of the inductor
$I$ is said to be the current flowing through the inductor.
We can see that the energy of the inductor is directly proportional to the inductance of the inductor and also proportional to the square of the current flowing through the circuit.
Therefore to increase the energy stored in the inductor by $4$ times we need to increase the inductance by four times the initial value or the current by two times. If we do any one of these ways the energy is stored in the inductor.

Note: Inductors usually store the energy in the form of magnetic energy. This is done by using the property that the electric current flowing through this coil produces a magnetic field. This in turn produces an electric current. Inductors are used primarily for two functions. One is to store energy and the other is to control signals.