Two long, straight wires cross each other perpendicularly as shown in the figure

Question

Two long, straight wires cross each other perpendicularly as shown in the figure below (let I1 = 3.10 A, and I2 = 4.95 A). The wires do not touch.

Two long, straight wires cross each other perpendicularly as shown in the figure below (let I1 = 3.10 A, and I2 = 4.95 A). The wires do not touch. Find the magnitude of the magnetic field at point P, which is in the same plane as the two wires. mu T Find the direction of the magnetic field at point P. out of the page into the page 57.9 degree clockwise from the +times direction 57.9degree counterclockwise from the +times direction 32.1degree clockwise from the + times direction 32.1 degree counterclockwise from the + times direction Find the magnetic field at a point 33.5 cm above the point of intersection of the wires along the z axis; that is, 33.5 cm out of the page, toward you

Explanation / Answer

a)
B1 = mue*i1/(2*pi*r1) = 4*3.14*10^-7*3.1/(2*3.14*0.3) = 2.067*10^-6 T (in to the page)

B2 = mue*i2/(2*pi*r2) = 4*3.14*10^-7*4.95/(2*3.14*0.4) = 2.475*10^-6 T (out of the page)



Bnet = B2- B1 = 0.408*10^-6 T = 0.408 micro T( out of the page)

b)

out of the page

c)

B1 = mue*i1/(2*pi*r1) = 4*3.14*10^-7*3.1/(2*3.14*0.335) = 1.85*10^-6 T (in +x direction)

B2 = mue*i2/(2*pi*r2) = 4*3.14*10^-7*4.95/(2*3.14*0.335) = 2.955*10^-6 T (in -y direction)


Bnet = sqrt(B1^2+B2^2) = 3.486*10^-6 T


direction, theta = tan^-1(By/Bx) = tan^-1(2.955/1.85) = 57.9

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