Question

The SI unit of self-induction is:

• A. coulomb (C)
• B. volt (V)
• C. ohm (\(\Omega\))
• D. henry (H)

Hint:

Self-inductance unit: \[ 1\, \text{H} = 1\, \frac{\text{V} \cdot \text{s}}{\text{A}}. \]

Answer 1

The Correct Option is D

The SI unit of self-inductance is the henry (H). It is defined as the inductance of a circuit in which an electromotive force (emf) of one volt is induced when the current through the circuit changes at the rate of one ampere per second. Mathematically, if \[ \mathcal{E} = -L \frac{dI}{dt}, \] then when \( \mathcal{E} = 1 \, \text{V} \) and \( \frac{dI}{dt} = 1 \, \text{A/s} \), the inductance \( L \) is 1 henry. Thus, \[ 1 \, \text{H} = \frac{1 \, \text{V}}{1 \, \text{A/s}}. \] This unit quantifies the ability of a coil or circuit to induce emf in itself due to a change in current.