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. $