Magnetic Effects Of Current Question 394
Question: An electric charge $ +q $ moves with velocity $ 10m{{s}^{-1}} $ in an electromagnetic field given by $ \overset{\to }{\mathop{E}},=3\hat{i}+\hat{j}+2\hat{k} $ and $ \overset{\to }{\mathop{B}},=\hat{i}+\hat{j}-3\hat{k} $ The y- component of the force experienced by $ +q $ is:
Options:
A) $ 11q $
B) $ 5,q $
C) $ 3,q $
D) $ 2,q $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Lorentz force acting on the particle
$ \overset{\to }{\mathop{F}},=q[ \overset{\to }{\mathop{E}},+\overset{\to }{\mathop{v}},\times \overset{\to }{\mathop{B}}, ] $ $ =q[ 3\hat{i}+\hat{j}+2\hat{k}+\hat{i}(-12-1)-\hat{j}(-9-1)+k(3-4) ] $
$ F_{y}=11q\hat{j} $
BETA
