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MHT CET202314 May 2023Evening ShiftPhysicsElectromagnetic InductionActual

The self induction (L) produced by solenoid of length ' l ' having ' N ' number of turns and cross sectional area ' A ' is given by the formula ( = magnetic flux, ₀,= permeability of vacuum)

Options

  1. AL = N
  2. BL = ₀ NA l
  3. CL = ₀ ~N ^2 ~A l
  4. DL = ₀ NA l

Correct answer

C. L = ₀ ~N ^2 ~A l

Step-by-step solution

Magnetic field inside the solenoid is, B = ₀ NI l Flux inside the coil, = N ( BA ) = ₀ ~N ^2 IA l Also, self inductance, L = I = ₀ ~N ^2 IA l I L = ₀ ~N ^2 ~A l

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