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For the wires shown in the Figure below, the wires on the left carry a current o

ID: 1323638 • Letter: F

Question

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 = 3.6A (into the page), a = 0.17 m and b= 0.36 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 I3.

c) Find in Tesla the magnitude of the magnetic fields at point X due to the wire carrying I1.

d) 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.

e) Find in Teslas the magnitude of the overall magnetic field due to all 3 wires at point X

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 = 3.6A (into the page), a = 0.17 m and b= 0.36 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 I3. c) Find in Tesla the magnitude of the magnetic fields at point X due to the wire carrying I1. d) 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. e) Find in Teslas 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