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Three long, straight parallel wires, car...

Three long, straight parallel wires, carrying current, are arranged as shown in figure. The force experienced by a 25 cm length of wire C is

A

`10_(-3)`

B

`2.25xx10^(-3)N`

C

zero

D

`1.25xx10^(-3)N`

Text Solution

Verified by Experts

The correct Answer is:
C
The magnetic field due to wire Dat shich C is
` =((mu_(0))/(4pi))(2l)/(r)=(10^(-7)xx2xx30)/(0.03)`
`=2xx10^(-4)`
Which is direced into the page.
The magnetic field due to wire G at C is
` =(10^(-7)xx2xx30)/(0.03)=2xx10^(-4)T`
which is directed out of the page.
Therefore , the field at the postion of the wire C is
`B=B_(g)-B_(D)=2xx10^(-4)-2xx10^(-4)`=zero
The force on 25cm of wire C is
F=BIIsin`theta`=zero.
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