Two infinitely long current carrying wires . Current i1 and i2 are both 500 mA a

Question

Two infinitely long current carrying wires . Current i1 and i2 are both 500 mA and are both directed out of the page at the indicated locations. Point P is 1.0cm to the right of i1 and 0.50cm above i2 .

1) What is the magnetic field at point P due to both wires? Express your answer in unit vector notation .

2) A third wire with current i3= 500mA directed into the page is to be placed so that the magentic field due to all three wires is zero at point P. Where should the third wire be placed ? The location should be correct distance from point P, so you will have to do calculation to find this distance .

Two infinitely long current carrying wires . Current i1 and i2 are both 500 mA and are both directed out of the page at the indicated locations. Point P is 1.0cm to the right of i1 and 0.50cm above i2 . What is the magnetic field at point P due to both wires? Express your answer in unit vector notation . A third wire with current i3= 500mA directed into the page is to be placed so that the magentic field due to all three wires is zero at point P. Where should the third wire be placed ? The location should be correct distance from point P, so you will have to do calculation to find this distance .

Explanation / Answer

i1 = i2 = 0.5 A

1) r1 = 0.01 m, r2 = 0.005m

B1 = mue*i1/(2*pi*r1) = 1*10^-5 T (upward)

B2 = mue*i2/(2*pi*r2) = 2*10^-5 T (leftside)

B = -2*10^-5 T i + 1*10^-5 T j

2)

at 2 cm right and 1 cm up

if p is the origin

at x = 2cm and y = 1cm

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