Moving Charges And Magnetism

Step 1: Understanding self-inductance of a solenoid.
The self-inductance of a solenoid is given by the formula: where: - is the permeability of free space, - is the relative permeability of the medium, - is the number of turns per unit length, - is the cross-sectional area, and - is the length of the solenoid. From this formula, we see that depends on the cross-sectional area and the relative permeability , but does not depend on the geometry of the solenoid beyond the area. Additionally, the inductance is independent of the length since it cancels out in the formula.

Step 2: Analyzing the options.
(A) It depends on the geometry of solenoid: Correct — The inductance depends on the cross-sectional area , and so on the geometry.
(B) It does not depend on geometry of solenoid: Incorrect — It depends on the cross-sectional area .
(C) It depends on cross-sectional area of solenoid: Correct — The inductance depends on the cross-sectional area of the solenoid.
(D) It depends on relative permeability of the medium: Correct — The inductance depends on the relative permeability of the medium inside the solenoid.

Step 3: Conclusion.
The correct answers are (A), (C) and (D).