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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction

A constant current i is kept flowing through a solenoid. Which of the following quantities will increase if an iron rod is introduced into the solenoid along its axis?

Options

  1. ARate of Joule heating
  2. BMagnetic flux linked with the solenoid
  3. CSelf-inductance of the solenoid
  4. DMagnetic field at the centre

Correct answer

D. Magnetic field at the centre

Step-by-step solution

When an iron rod is introduced into the solenoid, the medium inside the solenoid changes from air to iron. Iron is a ferromagnetic material with a relative permeability _r > 1 . The magnetic field at the centre of the solenoid is given by B = _r ₀ n i . Since _r > 1 and the current i is constant, the magnetic field increases. The magnetic flux linked with the solenoid is = N B A . As B increases, the magnetic flux also increases. The self-inductance of the solenoid is given by L = i = _r ₀ n^2 A l . Since _r > 1 ,

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