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AIIMS 2014
Exam
AIIMS
Year
2014
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2014 · Physics · Magnetic Effects of Current

A long straight wire carries 10 A d.c. current an electron travels...

A long straight wire carries 10 A d.c. current an electron travels perpendicular to the plane of this wire at a distance 0.1 m0.1 \mathrm{~m} with velocity 5.0×106 m s−15.0 \times 10^6 \mathrm{~m} \mathrm{~s}^{-1}. Force acting on the electron due to current in wire is

Options

  1. Azero N
  2. B0.6×10−17 N0.6 \times 10^{-17} \mathrm{~N}
  3. C2.4×10−17 N2.4 \times 10^{-17} \mathrm{~N}
  4. D2.2×10−17 N2.2 \times 10^{-17} \mathrm{~N}

Correct answer

A. zero N

Step-by-step solution

Force on the electron F⃗=−e(v⃗×B⃗)\vec{F}=-e(\vec{v} \times \vec{B}). As electron is travelling in a plane perpendicular to the plane of wire, so angle θ\theta between v⃗\vec{v} and B⃗\vec{B} is either 0∘0^{\circ} or 180∘180^{\circ} and sin⁡0∘\sin 0^{\circ} or sin⁡180∘=0\sin 180^{\circ}=0.
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