The four wires that lie at the corners of a square of side a= 3.20 cm are carryi

Question

The four wires that lie at the corners of a square of side a= 3.20 cm are carrying equal currents i= 2.30 A into (+) or out of (-) the page, as shown in the picture.





Calculate the y component of the magnetic field at the center of the square?


Calculate the x-component of the force on a 1.0-cm long piece of the lower right-hand wire, due to the other three wires.
The four wires that lie at the corners of a square of side a= 3.20 cm are carrying equal currents i= 2.30 A into (+) or out of (-) the page, as shown in the picture. Calculate the y component of the magnetic field at the center of the square? Calculate the x-component of the force on a 1.0-cm long piece of the lower right-hand wire, due to the other three wires.

Explanation / Answer

a) By = zero.

b)

B1 = B2 = mue*i/(2*pi*a) = 1.4375*10^-5 T



B12 = sqrt(B1^2+B2^2) = 2.034*10^-5 T


B3 = mue*i/(2*pi*sqrt(2)*a) = 1.0165*10^-5 T


Bnet = B12+B3 = 3.049*10^-5 T


F = Bnet*i*L*sin(90) = 3.049*10^-5*2.3*0.001 = 7.0136*10^-7 N

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