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JEE Main 2013 (22 Apr, Shift 1) · Magnetic Field of Straight Wires

Magnetic Field of Straight Wires question from JEE Main 2013 (22 Apr, Shift 1)

Q66JEE Main 2013 · 22 APR · SHIFT 1Easy

Magnetic Field of Straight Wires

A current ii is flowing in a straight conductor of length LL. The magnetic induction at a point on its axis at a distance L4\frac{L}{4} from its centre will be:

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Answer: (a)

  1. By Biot–Savart, dB⃗∝dl⃗×r^d\vec{B} \propto d\vec{l} \times \hat{r}.
  2. For a point on the line of the conductor, dl⃗∥r^d\vec{l} \parallel \hat{r}, so every dB⃗=0d\vec{B} = 0.
  3. So the answer is (a) zero.
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