Question

The self inductance of a coil depends upon:

• A. Number of turns only
• B. Magnetic permeability of core only
• C. Geometry of coil and medium
• D. Current flowing through coil

Hint:

Greater number of turns and magnetic permeability increase self inductance.

Answer 1

The Correct Option is C

Concept: Self inductance is: \[ L=\frac{\mu_0\mu_r N^2A}{l} \] where:

• \(N\) = number of turns
• \(A\) = area
• \(l\) = length
• \(\mu_r\) = relative permeability

Step 1: Analyze dependence. From formula: \[ L\propto \mu_r \] and \[ L\propto \frac{N^2A}{l} \] Thus inductance depends upon:

• Shape and dimensions of coil
• Nature of core material

Step 2: Check options. Only option involving geometry and medium correctly represents all dependencies.

Step 3: Final answer. \[ \boxed{ \text{Geometry of coil and medium} } \]