SHOW ALL WORK. For the wires shown in the Figure below, the wires on the left ca

Question

SHOW ALL WORK. For the wires shown in the Figure below, the wires on the left carry a current of I1 = I2 = 1.2A (out of the page), the wire on the right carries a current of I3 = 3.6 A (into the page), a = 1.73 m and b=1.0 m.

a) Find in Tesla the magnitude of the magnetic fields at point X due to the wire carrying I3.

b) Find the direction (as an angle relative to traditional positive x-direction) of the magnetic fields at point X due to the wire carrying I1.

c) Find the magnitude of the overall magnetic field due to all 3 wires at point X.

Explanation / Answer

part a)

B=u0i/2pir

r is teh radial distance

but for point X, it is not valid

so B=0

part b)

since wire carries current out of the page,so direction of magnetic field is counterclockwise

part c)

magnetic field at X is only due to wire 1, its magnirtude is

B=4*3.14*10-7*1.2/(4*3.14*1)=1.2*10-7 T

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