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Question: Answered & Verified by Expert
A long straight wire carries 10 A d.c. current an electron travels perpendicular to the plane of this wire at a distance $0.1 \mathrm{~m}$ with velocity $5.0 \times 10^6 \mathrm{~m} \mathrm{~s}^{-1}$. Force acting on the electron due to current in wire is
PhysicsMagnetic Effects of CurrentAIIMSAIIMS 2014
Options:
  • A zero N
  • B $0.6 \times 10^{-17} \mathrm{~N}$
  • C $2.4 \times 10^{-17} \mathrm{~N}$
  • D $2.2 \times 10^{-17} \mathrm{~N}$
Solution:
2961 Upvotes Verified Answer
The correct answer is: zero N
Force on the electron $\vec{F}=-e(\vec{v} \times \vec{B})$. As electron is travelling in a plane perpendicular to the plane of wire, so angle $\theta$ between $\vec{v}$ and $\vec{B}$ is either $0^{\circ}$ or $180^{\circ}$ and $\sin 0^{\circ}$ or $\sin 180^{\circ}=0$.

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