Energy stored in an Inductor:

The energy stored in an inductor can be determined using the formula:

E = 0.5 * L * I^2

Where:
E is the energy stored in the inductor (in Joules)
L is the inductance of the coil (in Henries)
I is the current flowing through the coil (in Amperes)

Given:
Current (I) = 2A
Inductance (L) = 5H

Calculating the energy stored in the coil:

E = 0.5 * 5H * (2A)^2
E = 0.5 * 5H * 4A^2
E = 0.5 * 5H * 16
E = 40 Joules

Therefore, the energy stored in the coil when a current of 2A flows through it is 40 Joules.

Explanation:

1. Inductor Energy Formula:
The energy stored in an inductor is given by the formula E = 0.5 * L * I^2. This formula relates the energy stored in the inductor to its inductance and the current flowing through it.

2. Given Values:
In this case, the current flowing through the coil is given as 2A, and the inductance of the coil is given as 5H.

3. Substituting Values:
Substituting the given values into the energy formula, we get:
E = 0.5 * 5H * (2A)^2
E = 0.5 * 5H * 4A^2

4. Calculating the Energy:
Simplifying the equation, we get:
E = 0.5 * 5H * 16
E = 40 Joules

Therefore, the energy stored in the coil when a current of 2A flows through it is 40 Joules.

In summary, the energy stored in an inductor can be calculated using the formula E = 0.5 * L * I^2, where E is the energy, L is the inductance, and I is the current. In this case, the energy stored in the coil is 40 Joules when a current of 2A flows through it.