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Question

I(1)

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I(2)

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I(3)

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Wire 3's magnetic field is out of the page due to wires 1 and 2. The direction of force is down for wire 3 due to wires one and 2.

1)       What is the magnitude of the field at the location of wire 3 due to wires 1 and 2?

a) 3 x 10-7 T

                b)  4 x 10-7 T

                c)  5 x 10-7 T

                d)  7 x 10-7 T

2)       What is the magnitude of the force on 1 m of wire 3 due to wires 1 and 2?

a) 5.4 x 10-6 N

                b)  3.4 x 10-6 N

                c)  2.4 x 10-6 N

d) 1.4 x 10-6

Explanation / Answer

1)
a) 3 x 10-7 T
Bnet = B1 + B2 = mue*i1/(2*pi*4) + mue*i2/(2*pi*8) = 3*10^-7 T

2)
c) 2.4 x 10-6 N

F = Bnet*i3*L*sin(90) = 3*10^-7*8*1 = 2.4*10^-6 N

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