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 (Figure 1) . Assume that I = 12 A and d = 20 cm .

Find the magnitude of the net magnetic field these wires produce at point P if the 10 A current is to the right (Current (a) in the figure).

Express your answer in teslas to two significant figures.

Find the magnitude of the net magnetic field these wires produce at point Q if the 10 A current is to the right (Current (a) in the figure).

Express your answer in teslas to two significant figures.

Explanation / Answer

Using B = (mu/2pi) (I/r)

(2 x 10^-7) 12/.20 = 1.2 x 10^-5 T
and
(2 x 10^-7) 10/.08 = 2.50 x 10^-5

Adding for (a) to get 3.7 x 10^-5 (both fields out of the page)
Subtracting for (b) to get 1.3 x 10^-5 (stronger field into page)

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