This inductor is of inductance 13.89HPE = (1/2)LI^225 x 10^-3 = (1/2)L(60 x 10^-3)^2L = 13.89H

The magnetic potential energy stored in an inductor:

The magnetic potential energy stored in an inductor can be calculated using the formula:

E = 0.5 * L * I^2

Where:
E is the magnetic potential energy stored in the inductor,
L is the inductance of the inductor, and
I is the current flowing through the inductor.

Given values:
Magnetic potential energy (E) = 25mJ = 25 * 10^-3 J
Current (I) = 60mA = 60 * 10^-3 A

To find the inductance (L), we need to rearrange the formula:

L = 2 * E / I^2

Calculating the inductance:
L = 2 * (25 * 10^-3 J) / (60 * 10^-3 A)^2
L = 2 * (25 * 10^-3 J) / (60 * 10^-3 A * 60 * 10^-3 A)
L = 2 * (25 * 10^-3 J) / (3600 * 10^-6 A^2)
L = 2 * (25 * 10^-3 J) / (3.6 * 10^-3 A^2)
L = (50 * 10^-3 J) / (3.6 * 10^-3 A^2)
L = 13.89 J/A^2

Explanation:
The inductance of the inductor is found to be approximately 13.89 J/A^2. This value represents the ability of the inductor to store magnetic potential energy when a current is flowing through it.

The formula for calculating the magnetic potential energy stored in an inductor, E = 0.5 * L * I^2, shows that the energy stored is directly proportional to the inductance and the square of the current. Therefore, increasing either the inductance or the current will result in an increase in the magnetic potential energy stored.

In this case, with a given magnetic potential energy of 25mJ and a current of 60mA, we can calculate the inductance using the rearranged formula L = 2 * E / I^2. Substituting the values, we find an inductance of approximately 13.89 J/A^2.

It is important to note that inductance is a property of the inductor and is independent of the current or energy stored at any given moment. It represents the ability of the inductor to resist changes in current and store magnetic energy.

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