Question

The unit of coefficient of self-inductance is:

• A. weber/ampere
• B. joule/ampere\(^2\)
• C. henry
• D. all of these

Hint:

The unit of self-inductance is henry (H), which can also be expressed as weber/ampere or joule/ampere\(^2\).

Answer 1

The Correct Option is C

The coefficient of self-inductance \( L \) is defined as the ratio of the induced emf to the rate of change of current:
\[ L = \frac{\text{Induced emf}}{\frac{dI}{dt}} \] The unit of induced emf is volt (V), and the unit of current change rate is ampere per second (A/s). Therefore, the unit of \( L \) is:
\[ \text{Unit of } L = \frac{\text{V} \cdot \text{s}}{\text{A}} = \text{henry (H)} \] Hence, the correct answer is option (C) henry.