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JEE Main 2023 (24 Jan, Shift 2) · Ampere's Law, Cylinders, Solenoid & Toroid

Ampere's Law, Cylinders, Solenoid & Toroid question from JEE Main 2023 (24 Jan, Shift 2)

Q28JEE Main 2023 · 24 JAN · SHIFT 2Easy

Ampere's Law, Cylinders, Solenoid & Toroid

A long solenoid is formed by winding 70 turns cm−1{}^{-1}. If 2.0 A current flows, then the magnetic field produced inside the solenoid is ____________ (μ0=4π×10−7\mu_0 = 4\pi \times 10^{-7} TmA −1{}^{-1})

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Answer: (c)

  1. n=70n = 70 turns/cm =7000= 7000 turns/m.
  2. B=μ0nI=4π×10−7×7000×2=1.76×10−2B = \mu_0 n I = 4\pi \times 10^{-7} \times 7000 \times 2 = 1.76 \times 10^{-2} T.
  3. So the answer is (c) 176×10−4176 \times 10^{-4} T.
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