Magnetic Effects Of Current Question 203
Question: Two long parallel wires carrying equal current separated by 1m, exert a force of $ 2\times {{10}^{-7}}N/m $ on one another. The current flowing through them is [AMU (Engg.) 1999]
Options:
A) 2.0 A
B) $ 2.0\times {{10}^{-7}}A $
C) 1.0 A
D) $ 1.0\times {{10}^{-7}}A $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{F}{l}=\frac{{\mu_{0}}}{4\pi }\times \frac{2i_{1}i_{2}}{a}=\frac{{\mu_{0}}}{4\pi }\frac{2i^{2}}{a}\ \ (\because \ i_{1}=i_{2}=i) $
$ \Rightarrow 2\times {{10}^{-7}}={{10}^{-7}}\times \frac{2i^{2}}{1}\Rightarrow i=1A $
BETA
