Magnetic Effects Of Current Question 196
Question: Three long, straight and parallel wires carrying currents are arranged as shown in the figure. The wire C which carries a current of 5.0 amp is so placed that it experiences no force. The distance of wire C from wire D is then [AMU 1995]
Options:
A) 9 cm
B) 7 cm
C) 5 cm
D) 3 cm
Show Answer
Answer:
Correct Answer: A
Solution:
For no force on wire C, force on wire C due to wire D= force on wire C due to wire B
$ \Rightarrow \frac{{\mu_{0}}}{4\pi }\times \frac{2\times 15\times 5}{x}\times l=\frac{{\mu_{0}}}{4\pi }\times \frac{2\times 5\times 10}{( 15-x )}\times l $
$ \Rightarrow x=9cm. $