Question

Assertion: The self-inductance of a long solenoid is proportional to the area of cross-section and length of the solenoid
Reason: Self inductance of a solenoid is independent of the number of turns per unit length

• A. If both assertion and reason are true and reason is the correct explanation of assertion
• B. If both assertion and reason are true but reason is not the correct explanation of assertion
• C. If assertion is true but reason is false
• D. If both assertion and reason are false

Answer 1

Answer: (C)

The self inductance of a long solenoid, the core of which consists of a magnetic material of permeability $\mu_{r}$ is given by $L=\mu_{n}\mu_{0}n^{2}\,Al$