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 . Assume that I = 13 A and d = 14 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

(A)
Magnetic Field due to Current carrying wire is given by, B = (uo*I)/(2*pi*r)
At Point P, Net Magnetic Field, B = (uo*I1)/(2*pi*r1) + (uo*I2)/(2*pi*r2)
Bnet = (2*10^-7 * 13)/(0.14) + (2*10^-7 * 10)/(0.08) T
Bnet = 4.4 * 10^-5 T

(B)
In this Case also , Net Magnetic Field will be added up due to two wires.
Bnet = 4.4 * 10^-5 T

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