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JEE Main 2023 · 24 Jan · Shift 2

JEE Main 2023 Physics question on Magnetism and Moving Charges

A long solenoid is formed by winding 70 turns cm−1\text{cm}^{-1}. If 2.0 A current flows, then the magnetic field produced inside the solenoid is__________ (μo=4π×10−7\mu_o = 4\pi \times 10^{-7} TmA−1\text{TmA}^{-1})
  1. A.
    88×10−488 \times 10^{-4} T
  2. B.
    176×10−4176 \times 10^{-4} T
  3. C.
    352×10−4352 \times 10^{-4} T
  4. D.
    1232×10−41232 \times 10^{-4} T
Show answer and solution

Correct option: B

Solution

B = μ₀nI, where n = 70 turns/cm = 7000 turns/m.

B = (4π × 10⁻⁷) × 7000 × 2.0 = 4π × 10⁻⁷ × 14000 = 56000π × 10⁻⁷ ≈ 175929 × 10⁻⁷ T ≈ 176 × 10⁻⁴ T.

[JEE Main 2023 · 24 Jan · Shift 2]

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