Two long wires are oriented perpendicular to each other, and at their closest th

Question

Two long wires are oriented perpendicular to each other, and at their closest they are 20.0 cm apart. What is the magnitude of the magnetic field at a point midway between them if the top one carries a current of 20.0 A and the bottom one carries 5.0 A? Two long wires are oriented perpendicular to each other, and at their closest they are 20.0 cm apart. What is the magnitude of the magnetic field at a point midway between them if the top one carries a current of 20.0 A and the bottom one carries 5.0 A?

Explanation / Answer

at midpoint d = 20/2 = 10 cm = 0.1 m

B1 = mue*I1/(2*pi*d)

= 4*pi*10^-7*20/(2*pi*0.1)

= 4*10^-5 T

B2 = mue*I2/(2*pi*d)

= 4*pi*10^-7*5/(2*pi*0.1)

= 1*10^-5 T

here B1 is perpendicular to B2

Bnet = sqrt(B1^2 + B2^2)

= sqrt(4^2 + 1^2)*10^-5

= 4.123*10^-5 T <<<<<<<<---------Answer

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