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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction

Two solenoids possess an identical geometrical construction, but one is fabricated from thick wire while the other is made from thin wire. Which of the following quantities differ for the two solenoids?

Options

  1. ASelf-inductance
  2. BTime constant if one solenoid is connected to one battery and the other is connected to a different battery
  3. CMagnetic field energy if the same current flows through them
  4. DRate of Joule heating if the same current flows through them

Correct answer

D. Rate of Joule heating if the same current flows through them

Step-by-step solution

Identical geometrical construction implies that the solenoids have the same length l , same cross-sectional area A , and same number of turns N . The self-inductance of a solenoid is given by L = ₀ N^2 A l . Since N , A , and l are identical for both solenoids, their self-inductance L is the same. The resistance of the wire is given by R = l_ wire A_ wire . Since one solenoid is made of thick wire and the other of thin wire, their wire cross-sectional areas A_ wire are different, which means their resistances R are

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