JEE Main202325 Jan 2023Morning ShiftPhysicsMagnetic Effects of CurrentActual
A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0 . 2 m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is:
Options
- A2 . 4 × 10 3   A   m - 1
- B1 . 2 × 10 3   A   m - 1
- C1   A   m - 1
- D2 . 4 × 10 - 3   A   m - 1
Correct answer
B. 1 . 2 × 10 3   A   m - 1
Step-by-step solution
Given, Number of turns per metre n = 1200 2 l =   2   m ,   d = 0 . 2   m   and   I = 2   A Magnetic field at centre inside the solenoid is given by B = μ 0 nI , where, μ 0 is the permeability constant. Magnetic intensity is related to magnetic field by H = B μ 0 = μ 0 n I μ 0 = n I = 1200 2 ( 2 ) ⇒ H = 1 . 2 × 10 3   A   m - 1