Magnetic Effects Of Current Question 220

Question: A straight conductor carries a current of 5A. An electron travelling with a speed of $ 5\times 10^{6}m{{s}^{-1}} $ parallel to the wire at a distance of 0.1m from the conductor, experiences a force of [Kerala PET 2001]

Options:

A) $ 8\times {{10}^{-20}}N $

B) $ 3.2\times {{10}^{-19}}N $

C) $ 8\times {{10}^{-18}}N $

D) $ 1.6\times {{10}^{-19}}N $

Show Answer

Answer:

Correct Answer: C

Solution:

Magnetic field produced by wire is perpendicular to the motion of electron and it is given by $ B=\frac{{\mu_{0}}}{4\pi }\cdot \frac{2i}{a}={{10}^{-7}}\times \frac{2\times 5}{0.1}={{10}^{-5}},Wb/m^{2} $ Hence force on electron $ F=qvB=(1.6\times {{10}^{-19}})\times 5\times 10^{6}\times {{10}^{-5}}=8\times {{10}^{-18}},N $