Magnetic Effects Of Current Question 230
Question: Two thin, long, parallel wires, separated by a distance ?d? carry a current of ?i? A in the same direction. They will [AIEEE 2005]
Options:
A) Attract each other with a force of $ {\mu_{0}}i^{2}/(2\pi d^{2}) $
B) Repel each other with a force of $ {\mu_{0}}i^{2}/(2\pi d^{2}) $
C) Attract each other with a force of $ {\mu_{0}}i^{2}/(2\pi d) $
D) Repel each other with a force of $ {\mu_{0}}i^{2}/(2\pi d) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ ( \frac{F}{l} )=\frac{{\mu_{0}}}{4\pi }.\frac{2i_{1}i_{2}}{a} $
Þ $ ( \frac{F}{l} )=\frac{{\mu_{0}}}{4\pi }.\frac{2i^{2}}{d}=\frac{{\mu_{0}}i^{2}}{2\pi d} $ (Attractive)