MHT CET202312 May 2023Evening ShiftPhysicsMagnetic Effects of CurrentActual
Inductance per unit length near the middle of a long solenoid is ( ₀= . permeability of free space, n = number of turns per unit length, d = the diameter of the solenoid)
Options
- A₀ ( nd 2 )^2
- B4 ₀ ( nd 2 )
- C( ₀ nd 2 )
- D4 ₀ n^2 d^2
Correct answer
A. ₀ ( nd 2 )^2
Step-by-step solution
The inductance long solenoid is aligned & L = ₀ ~N ^2 ~A l & ~L = ₀ ( N l )^2 d ^2 4 aligned The inductance per unit length near the middle of a long solenoid is: L l = ₀ ( nd 2 )^2 . ( N l = n )