Regarding self-inductance:

A. The self-inductance of the coil depends on its geometry.

B. Self-inductance does not depend on the permeability of the medium.

C. Self-induced e.m.f. opposes any change in the current in a circuit.

D. Self-inductance is electromagnetic analogue of mass in mechanics.

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:

<p>Let's analyze each statement:</p> <p><p>$\textbf{A. The self-inductance of the coil depends on its geometry.}$ </p> <p>This is true because the self-inductance of a coil is given by formulas that include its geometrical parameters (number of turns, cross-sectional area, length, etc.). For example, for a solenoid, </p> <p>$L = \mu_0 \mu_r \frac{N^2 A}{l},$</p> <p>where $N$ is the number of turns, $A$ is the cross-sectional area, and $l$ is the length.</p></p> <p><p>$\textbf{B. Self-inductance does not depend on the permeability of the medium.}$ </p> <p>This is false. The permeability of the medium (represented by $\mu = \mu_0 \mu_r$) directly influences the inductance, as seen in the formula above. So, any change in the medium’s permeability will affect the inductance.</p></p> <p><p>$\textbf{C. Self-induced e.m.f. opposes any change in the current in a circuit.}$ </p> <p>This is true, and it is a direct consequence of Lenz's law. The induced electromotive force (e.m.f.) always acts in a direction such that it opposes the change in current that produced it.</p></p> <p><p>$$\textbf{D. Self-inductance is the electromagnetic analogue of mass in mechanics.}$$ </p> <p>This is true. Just as mass resists changes in velocity (inertia), inductance resists changes in current, which is why it is often compared to the inertial mass in mechanical systems.</p></p> <p><p>$$\textbf{E. Work needs to be done against self-induced e.m.f. in establishing the current.}$$ </p> <p>This is true because, when you try to change the current, you must do work to overcome the opposing self-induced e.m.f., storing energy in the magnetic field of the inductor.</p></p> <p>Based on the above reasoning, the true statements are A, C, D, and E.</p> <p>Thus, the correct answer is:</p> <p>Option C </p> <p>A, C, D, E only</p>