The two wires shown in the figure below are separated by d = 7.9 cm and carry cu

Question

The two wires shown in the figure below are separated by d = 7.9 cm and carry currents of I = 5.10 A in opposite directions. Find the magnitude and direction of the net magnetic field at a point midway between the wires, magnitude mu T direction Find the magnitude and direction of the net magnetic field at point P_1, 7.9 cm to the right of the wire on the right, magnitude mu T direction Find the magnitude and direction of the net magnetic field at point P_2, 2d = 15.8 cm to the left of the wire on the left. magnitude mu T direction

Explanation / Answer

here,

d = 7.9 cm

d = 0.079 m

I = 5.1 A

(a)

the magnetic feild at the midway , B = u0 *I(2 * pi * d/2) - u0 * I/(2 * pi * r)

B = 0

the magnetic feild at the midway is 0

(b)

the magnetic feild at P1 , B' = u0 * I/(2*pi*d) - u0 * I/(2 * pi * 2*d)

B' = u0 * 5.1/(2*pi*0.079) - u0 * 5.1/(2 * pi * 2*0.079)

B' = 6.46 * 10^-6 T

the magnetic feild at the point p2 is 6.46 uT and the direction is out of the page

(c)

the magnetic feild at P2 , B'' = u0 * I/(2*pi*2 *d) - u0 * I/(2 * pi * 3*d)

B' = u0 * 5.1/(2*pi*2*0.079) - u0 * 5.1/(2 * pi * 3*0.079)

B' = 2.2 * 10^-6 T

the magnetic feild at the point p2 is 2.2 uT and the direction is out of the page

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