Mutual inductance depends on:

Options

A. medium between the coils
B. seperation between the coils
C. both (a) and (b)
D. it is independent of medium

Explanation

To determine the factors on which mutual inductance depends, we can analyze the components involved in the mutual inductance between two coils. Here’s a step-by-step solution:

### Step 1: Understanding Mutual Inductance
Mutual inductance is a property of two coils that indicates how much the magnetic field of one coil induces a voltage in the other coil when the current changes.

### Step 2: Factors Affecting Mutual Inductance
1. **Number of Turns (N)**: The mutual inductance increases with the number of turns in each coil. More turns mean a stronger magnetic field, which leads to greater induced voltage.

2. **Magnetic Flux (Φ)**: The amount of magnetic flux linking the coils is crucial. The greater the magnetic flux, the higher the mutual inductance. This flux is influenced by the magnetic field strength and the area through which the magnetic field lines pass.

3. **Permeability (μ)**: The permeability of the medium between the coils affects how easily the magnetic field can pass through it. Higher permeability materials enhance mutual inductance.

4. **Cross-Sectional Area (A)**: The area of the coils through which the magnetic field lines pass also plays a role. A larger cross-sectional area allows more magnetic field lines to link the coils, increasing mutual inductance.

5. **Separation Between Coils**: The distance between the coils affects the mutual inductance. Closer coils will have a stronger interaction and thus a higher mutual inductance.

### Conclusion
From the above analysis, we can conclude that mutual inductance depends on:
- The number of turns in the coils
- The magnetic flux linking the coils
- The permeability of the medium between the coils
- The cross-sectional area of the coils
- The separation distance between the coils

### Final Answer
Mutual inductance depends on the number of turns, magnetic flux, permeability of the core, cross-sectional area, and the separation between the coils.

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