Final answer:
The self-inductance of a solenoid depends on the number of turns of wire and the permeability of the core material, not on the current flowing through the solenoid.
Step-by-step explanation:
The self-inductance of a solenoid depends on various factors. The first factor is the number of turns of wire in the solenoid. A higher number of turns results in greater self-inductance. Secondly, the self-inductance depends on the permeability of the core material within the solenoid; materials with higher permeability lead to higher self-inductance. Contrary to what might seem intuitive, the self-inductance does not depend on the current flowing through the solenoid but rather on the capability of the coil to induce emf due to a change in the current flowing through it. Thus, the correct answer to the question is A) the Number of turns and C) Permeability of the core material since B) Current flowing through the coil is not a factor the self-inductance depends on.