Self inductance of a coil is independent of

Options

A. current flowings in the coil
B. emf induced in the coil
C. rate of change of current in the coil
D. All of these

Answer

To determine what the self-inductance of a coil is independent of, we need to analyze the factors that influence self-inductance.

### Step-by-Step Solution:

1. **Understanding Self-Inductance**:
Self-inductance (denoted as L) is a property of a coil that quantifies its ability to induce an electromotive force (EMF) in itself due to a change in current flowing through it.

2. **Factors Affecting Self-Inductance**:
The self-inductance of a coil primarily depends on:
- The number of turns in the coil (N)
- The area of the coil (A)
- The permeability of the medium surrounding the coil (μ)

3. **Identifying Independent Factors**:
The self-inductance does not depend on:
- The current flowing through the coil (I)
- The EMF induced in the coil (E)
- The rate of change of current (dI/dt)

4. **Conclusion**:
Since self-inductance is a property intrinsic to the coil itself and its physical configuration, it remains unchanged regardless of the current flowing through it, the EMF induced, or the rate of change of current. Therefore, self-inductance is independent of all these factors.

5. **Final Answer**:
The self-inductance of a coil is independent of the current flowing through it, the EMF induced, and the rate of change of current. Thus, the correct answer is "All of these".