As shown in the figure, two long, straight current-carrying wires (1 and 2) are

Question

As shown in the figure, two long, straight current-carrying wires (1 and 2) are attached at right angles to a board by wire brackets. The current in wire 1 is 9.33 A in the negative y direction and the current in wire 2 is 5.00 A in the positive x direction. The points A and B are a distance

r = 0.200 m

from both wires.

(a) How does the magnitude of the net magnetic field at point A compare to the magnitude of the net magnetic field at point B?

BA > BB

BA = BB

BA < BB

(b) Determine the magnitude of the net magnetic field at points A and B.

Explanation / Answer

At point A

B due to I1 ans I2 both are above the plane and

So net B = µ0 I1 / 2 * pi * r + µ0 I2 / 2 * pi * r

net B = µ0 / 2*pi*r (I1 + I2)

net B = 4*pi*10^-7 / 2*pi*.2 (14.33)

Calculate

net B = T (out to the plane)

At point B

B due to I1 is in the plane and due to I2 is above the olane

So net B = µ0 I1 / 2 * pi * r - µ0 I2 / 2 * pi * r

net B = µ0 / 2*pi*r (I1 - I2)

net B = 4*pi*10^-7 / 2*pi*.2 (4.33)

And calculate

net B = T (in the plane

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