Expalanations would be greatly appreciated, thanks. Suppose in the figure that t

Question

Expalanations would be greatly appreciated, thanks.

Suppose in the figure that the four identical currents i = 21 A, into or out of the page as shown, form a square of side 74 cm. What is the force per unit length (magnitude and direction) on the w in the bottom left hand corner? Take the positive y direction as up and the positive Times direction as to the right. What is the magnitude of the force per unit length? What is the x component of the force per unit length? What is the y component of the force per unit length?

Explanation / Answer

at each cornor two magnetic fields acrts at right angles

so

each Magnetic fieild is obtained in terms on components as

part B :

Bx = (uo*I/2*pia)*(1 - cos45/sqrt2)

Bx = ((2*10^-7*21)/0.74)*(1/2)

Bx = 2.83 uT

part C:

By = (uo*I/2*pia)*(1 + sin45/sqrt2)

By = ((2*10^-7*21 )/0.74)*(3/2)

By = 8.51 u T

Bnet = sqrt(Bx^2 + By^2)

Bnet^2 = 2.83^2 + 8.51^2

Bnet = 8.96 uT

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a) as magnetic force F = iLB

F/L = i B

F/L = Bnet*I

F/L = 8.96 e -6 * 21

F/L = 1.88 *10^-4 N/m

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