Question

Two straight wires separated by a very small distance run parallel to each other, one carrying a current of 3.0 A to the right and the other carrying a current of 6.8 A to the left. Give the approximate value for the magnitude of the magnetic field a large distance r from both wires.

B=........................(1/r) T.m

Answer 1

Step-by-step explanation:

I1 = 3 A right

I2 = 6.8 A left

Let the distance is r from both the wires on the same side.

The formula for the magnetic field is given by

`B =(\mu _(0))/(4\pi )(2i)/(r)`

As the direction of current in both the wires is opposite to each other

so the net magnetic field is

B = B2 - B1

`B =(\mu _(0))/(4\pi )(2i_(2))/(r)-(\mu _(0))/(4\pi )(2i_(1))/(r)`

`B =(\mu _(0))/(4\pi )(2* 6.8)/(r)-(\mu _(0))/(4\pi )(2* 3)/(r)`

`B =(\mu _(0))/(4\pi )(7.6)/(r)`