Four long, parallel conductors carry equal currents of I = 7.20 A. The figure be

Question

Four long, parallel conductors carry equal currents of I = 7.20 A. The figure below is an end view of the conductors. The current direction is into the page at points A and B and out of the page at C and D.

(a) Calculate the magnitude of the magnetic field at point P, located at the center of the square of edge length = 0.200 m.
____________________µT

(b) Determine the direction of the magnetic field at point P, located at the center of the square of edge length = 0.200 m.

-to the left

-to the right    

-upward

-downward

-into the page

-out of the page

Explanation / Answer

distnace from corner to center, r = sqrt(2)*l/2

= 1.414*0.2/2

= 0.1414 m

magnetic filed at the center due to each wire, B = mue*I/(2*pi*r)

= 4*pi*10^-7*7.2/(2*pi*0.1414)

= 1.02*10^-5 T

net magnetic field, Bnet = 2*sqrt(2)*B

= 2*1.414*1.02*10^-5

= 2.88*10^-5 T

= 28.8 micro T

direction : downward

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