(a) Find the magnitude and direction of the magnetic field at a point midway bet

Question

(a) Find the magnitude and direction of the magnetic field at a point midway between the wires.
magnitude 1 magnitude 1 Two long, parallel wires carry currents of I1 = 2.85 A and I2 = 5.25 A in the directions indicated in the figure below, where d = 16.5 cm. Take the positive x direction to be to the right Find the magnitude and direction of the magnetic field at a point midway between the wires. Find the magnitude and direction of the magnetic field at point P, located d = 16.5 cm above the wire carrying the 5.25-A current.

Explanation / Answer

a)B=ki/2*pi*r=2i*10^-7/r

where k=4*pi*10^-7

B=B1+B2=2*2.85*10^-7/.0825-2*5.25*10^-7/.0825=-5.818*10^-6 T acts downward

b)B1=2*2.85*10^-7/.233=2.44*10^-6 T acts 135 degrees to x axis

B2=2*5.25*10^-7/.165=6.36*10^-6 T act towards left

reasultant=8.262*10^-6 T

168 degrees counterclockwise from the +x axis

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