Magnetic Effects Of Current Question 129
Question: Two long parallel wires P and Q are both perpendicular to the plane of the paper with distance 5 m between them. If P and Q carry current of 2.5 amp and 5 amp respectively in the same direction, then the magnetic field at a point half way between the wires is [Kerala PMT 2005]
Options:
A) $ \frac{\sqrt{3}{\mu_{0}}}{2\pi } $
B) $ \frac{{\mu_{0}}}{\pi } $
C) $ \frac{3{\mu_{0}}}{2\pi } $
D) $ \frac{{\mu_{0}}}{2\pi } $
E) (e) $ \frac{\sqrt{3}{\mu_{0}}}{\pi } $
Show Answer
Answer:
Correct Answer: D
Solution:
In the following figure magnetic field at mid point M is given by $ B_{net}=B_{Q}-B_{P} $ $ =\frac{{\mu_{0}}}{4\pi }\cdot \frac{2}{r}(i_{Q}-i_{P}) $ $ =\frac{{\mu_{0}}}{4\pi }\times \frac{2}{2.5}(5-2.5)=\frac{{\mu_{0}}}{2\pi } $
BETA
