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

Answer:

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

$B =\frac{\mu _{0}}{4\pi }\frac{2i}{r}$

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

so the net magnetic field is

B = B2 - B1

$B =\frac{\mu _{0}}{4\pi }\frac{2i_{2}}{r}-\frac{\mu _{0}}{4\pi }\frac{2i_{1}}{r}$

$B =\frac{\mu _{0}}{4\pi }\frac{2\times 6.8}{r}-\frac{\mu _{0}}{4\pi }\frac{2\times 3}{r}$

$B =\frac{\mu _{0}}{4\pi }\frac{7.6}{r}$