Four long, parallel conductors carry equal currents of I = 5.40 A. The figure be

Question

Four long, parallel conductors carry equal currents of I = 5.40 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.
in ?T?

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

to the left

to the right    

upward

downward

into the page

out of the page

...?

Four long, parallel conductors carry equal currents of I = 5.40 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. in A Mu T? (b) Determine the direction of the magnetic field at point P, located at the center of the square of edge length ? = 0.200m to the left to the right upward downward into the page out of the page ...?

Explanation / Answer

r = l/sqrt2 = 0.2/1.414 = 0.1414 m

B = uo*I/(2*pi*R)

B = (4*3.14e-7*5.4)/(2*3.14*0.141) = 7.66e-6 T

Ba & Bd are along PB = B1 = 2B

Bc & Bb are along PD = B2 =2B

B1 & B2 are at right angles

Bnet = sqrt(B1^2+B2^2) = 21.67 uT     <-----------answer

part B)

direction = downward

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