(c) Calculate the magnitude of the net magnetic field at at a distance of a dire

Question

(c) Calculate the magnitude of the net magnetic field at at a distance of a directly above the wire located at x = 0.

(d) In which region, on the x-axis, is there a point a finite distance from the wires at which the net magnetic field is zero? Select all the correct answers.
[ ]To the left of x = -2a
[ ]In between x = -2a and x = 0
[ ]In between x = 0 and x = +2a
[ ]To the right of x = +2a

The picture above shows a cross-sectional view through three long straight current-carrying wires, which are each carrying current perpendicular to the page (or the screen). In this problem, use these values: the distance a = 30.0 cm; the current I = 6.50 amps. (c) Calculate the magnitude of the net magnetic field at at a distance of a directly above the wire located at x = 0. (d) In which region, on the x-axis, is there a point a finite distance from the wires at which the net magnetic field is zero? Select all the correct answers. [ ]To the left of x = -2a [ ]In between x = -2a and x = 0 [ ]In between x = 0 and x = +2a [ ]To the right of x = +2a

Explanation / Answer

c)

Here , electric field due to long wire is given as

B = u0*I/(2*pi*d)

Now , at x = 0

Bnet = u0*3*6.5*(1/0.60 + 1.60)*1/(2*3.141)

Bnet = 1.3 *10^-5 T

the magnetic field is 1.3 *10^-5 T

d)

here , the region for zero field is In between x = 0 and x = +2a

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