Question

Regarding self-inductance: \( \text{A} \): The self-inductance of the coil depends on its geometry.
\( \text{B} \): Self-inductance does not depend on the permeability of the medium.
\( \text{C} \): Self-induced e.m.f. opposes any change in the current in a circuit.
\( \text{D} \): Self-inductance is the electromagnetic analogue of mass in mechanics.
\( \text{E} \): Work needs to be done against self-induced e.m.f. in establishing the current.
Choose the correct answer from the options given below:

• A. A, B, C, D only
• B. A, C, D, E only
• C. A, B, C, E only
• D. B, C, D, E only

Hint:

Self-inductance depends on factors such as the coil's geometry, the medium's permeability, and the number of turns in the coil. Remember that it is directly related to the opposition of current change.

Answer 1

The Correct Option is B

Self-inductance is the property of a coil that opposes the change in the current passing through it. The self-inductance of a coil is given by: \[ L = \frac{\mu_0 N^2 A}{2 \pi R}. \] Now, let's evaluate the given statements:
\( A \): The self-inductance of the coil depends on its geometry (correct). It is influenced by the number of turns, the area of the coil, and its length.
\( B \): Self-inductance does not depend on the permeability of the medium (incorrect). Self-inductance is dependent on the permeability of the medium through which the coil is wound.
\( C \): Self-induced e.m.f. opposes any change in the current in a circuit (correct). This is a fundamental property of inductance according to Lenz's law.
\( D \): Self-inductance is the electromagnetic analogue of mass in mechanics (correct). It resists changes in current, much like mass resists changes in motion.
\( E \): Work needs to be done against self-induced e.m.f. in establishing the current (correct). Work must be done to establish a steady current in the presence of an inductive coil.
Thus, the correct answer is option (2), which includes statements A, C, D, and E.