Question

Suppose we have an infinitely long wire carrying a current of 2.0 A. It is bent into an L-shape extending into positive infinities along the x- and y- axes. Find the magnitude of the magnetic field at a point P with coordinates (0.2 m, 0.2 m). B

Answer 1

The value is = 4 x 10∧-6T

Step-by-step explanation:

Let us assume or take the wire as two independent wires joint as the point (0,0)

The magnetic field (magnitude) is both parts of the contribution.

Which is,

B1+B2 =B

B = µ₀I/πr

Where,

I=The current in the wire

µ₀= The magnetic permeability

r= distance to the wire

Therefore,

B= 2 (4π x 10-7 Tm/A) (2.0A)/2π (0.2m) or

B= 2 (4π x 10-7 Tm/A) (2.0A)/2π (0.2m) (0.2m)

The value is = 4 x 10-∧6 T

Answer 2

B=4*10^{-6} T

Step-by-step explanation:

you can take this wire as two independent wires joint as the point (0,0)

the magnitude of the magnetic field is the contribution of both parts

B1+B2=B

`B=(\mu_0I)/(2\pi r)`

I: current

mu_0: magnetic permeability

r: distance to the wire

Then, we have

`B=2((4\pi*10^(-7)(Tm)/(A))(2.0A))/(2\pi (0.2m))\\B=4*10^(-6)T`

Hope this helps!!