JEE Physics · Hard

Magnetism: Biot-Savart — Semi-infinite Wire MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Biot-Savart — Semi-infinite WireHardQuestion 20215

Question

Magnetic field at perpendicular distance R from the end of a semi-infinite straight wire carrying current I is:
  1. A
    μ₀I/4πR
    Correct
  2. B
    μ₀I/2πR
  3. C
    μ₀I/πR
  4. D
    μ₀I/8πR

Correct answer

μ₀I/4πR

Explanation

For a semi-infinite wire, only half of the 2π integration contributes: B = μ₀I/(4πR). This is half the field of an infinite wire at the same distance.