Question

Energy stored in an inductor is given by

• A. \(\frac{1}{2}CV^2\)
• B. \(\frac{1}{2}LI^2\)
• C. \(VI\)
• D. \(I^2R\)

Hint:

Inductor stores energy as \(\frac{1}{2}LI^2\), while capacitor stores energy as \(\frac{1}{2}CV^2\).

Answer 1

The Correct Option is B

Concept: An inductor stores energy in its magnetic field.

Step 1: If current \(I\) flows through an inductor of inductance \(L\), then energy stored is: \[ W=\frac{1}{2}LI^2 \]

Step 2: The expression: \[ \frac{1}{2}CV^2 \] is energy stored in a capacitor.

Step 3: \(VI\) represents power and \(I^2R\) represents power loss in a resistor. Therefore: \[ \boxed{\frac{1}{2}LI^2} \]