Magnetic Effects Of Current Question 237
Question: An infinitely long current carrying wire carries current i. A charge of mass m and charge q is projected with speed v parallel to the direction of current at a distance r from it. Then, the radius of curvature at the point of projection is
Options:
A) $ \frac{2rmv}{q{\mu_{0}}i} $
B) $ \frac{2\pi rmv}{q{\mu_{0}}i} $
C) r
D) Cannot be determined
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ F=qvB=\frac{qv{\mu_{0}}i}{2\pi r} $ $ \frac{mv^{2}}{R}=\frac{qv{\mu_{0}}i}{2\pi r}\Rightarrow R=\frac{2\pi rmv}{q{\mu_{0}}i} $
BETA
