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KCET2022PhysicsMagnetic Effects of Current

A solenoid of length 50 ~cm having 100 turns carries a current of 2.5 ~A . The magnetic field at one end of the solenoid is

Options

  1. A6.28 10⁻⁴ ~T
  2. B1.57 10⁻⁴ ~T
  3. C9.42 10⁻⁴ ~T
  4. D3.14 10⁻⁴ ~T

Correct answer

D. 3.14 10⁻⁴ ~T

Step-by-step solution

Given, length of solenoid, l=50 ~cm =0.5 ~m Number of turns, N=100 Current, I=2.5 ~A Number of turns per unit length in the solenoid n= N l = 100 0.5 =200 turns / m Magnetic field at the one end of solenoid, aligned B & = ₀ n I 2 = 4 10⁻⁷ 200 2.5 2 & =10 10⁻⁵= 10⁻⁴=3.14 10⁻⁴ ~T aligned

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