Magnetic Effects Of Current Question 161
Question: Two thin long parallel wires separated by a distance b are carrying a current i amp each. The magnitude of the force per unit length exerted by one wire on the other is [CPMT 1991; IIT 1986; Bihar MEE 1995; RPMT 1997; MP PET 1996; MP PMT 1994, 96, 99; UPSEAT 2001, 03]
Options:
A) $ \frac{{\mu_{0}}i^{2}}{b^{2}} $
B) $ \frac{{\mu_{0}}i^{2}}{2\pi b} $
C) $ \frac{{\mu_{0}}i}{2\pi b} $
D) $ \frac{{\mu_{0}}i}{2\pi b^{2}} $
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Answer:
Correct Answer: B
Solution:
Force per unit length $ =\frac{{\mu_{0}}}{4\pi }.\frac{2i_{1}i_{2}}{r}=\frac{{\mu_{0}}}{2\pi }.\frac{i^{2}}{b} $
BETA
