Two insulated wires perpendicular to each other in the same plane carry currents

Question

Two insulated wires perpendicular to each other in the same plane carry currents as shown in the figure (Figure 1) . Assume that I = 13A and d = 19cm .

Find the magnitude of the net magnetic field these wires produce at points P and Q if the 10 Acurrent is to the right.

Express your answers using two significant figures separated by a comma.

Find the magnitude of the net magnetic field these wires produce at points P and Q if the 10 Acurrent is to the left.

Express your answers using two significant figures separated by a comma.

Explanation / Answer

Using B = (muo/2pi) * (I/r)
B1 = (2 x 10^-7) 13/0.19 = 1.37 x 10^-5 T

B2 = (2 x 10^-7) 10/0.08 = 2.5 x 10^-5 T

(a)
Adding B1 and B2 (both fields out of the page)
Net B = (1.37 + 2.5) x 10^-5 T = 3.87 x 10^-5 T

(b)
Subtracting B1 from B2 (stronger field into page)
Net B = (2.5 - 1.37) x 10^-5 T = 1.13 x 10^-5 T

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