Problem: I = 8.0A(a) What is the magnetic field B at point a in the figure? Give your answer as vector.(b) What is the magnetic field B at point b in the figure? Give your answer as vector.(c) What is the magnetic field B at point c in the figure? Give your answer as vector.

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Magnetic field due to a current-carrying conductor,

B=μ0I2πr

Let the top conductor be 1 and lower conductor 2.

Vector magnitude,

r=x2+y2

rx,y=(x2-x1),(y2-y1)

Direction,

tanθ=AyAx

Resolving components,

Bx=|B| cos θBy=|B| sin θ

Part A

r1,a=(0.01-0)2+(0.01-0)2

r1,a = 0.01414 m

Direction,

θ=tan-1(0.010.01)

θ = 45°

r2,a=(0.01-0)2+(-0.01-0)2

r2,a = 0.01414 m

Direction,

θ=tan-1(-0.010.01)

θ = - 45°

I = 8.0A

μ0 = 4π × 10−7 N/A2

B1,a=(4π×10-7)8.02π×0.01414

B1,a = 1.13 × 10-4 T

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Problem Details

media/806/806d4a21-972f-4664-8fa7-b1

I = 8.0A

(a) What is the magnetic field B at point a in the figure? Give your answer as vector.

(b) What is the magnetic field B at point b in the figure? Give your answer as vector.

(c) What is the magnetic field B at point c in the figure? Give your answer as vector.

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