Two mutually perpendicular

PHYSICS · Multi-part · AP · Physics C: Electricity and Magnetism · Magnetic Fields and Electromagnetism · Magnetic Fields and Electromagnetism

Problem

Two mutually perpendicular, infinitely long, straight conductors intersect at point O. Conductor X lies along the

x

-axis and carries a current of

4\,\text{A}

in the

+x

direction. Conductor Y lies along the

y

-axis and carries a current of

6\,\text{A}

in the

+y

direction. A point P is located in the first quadrant at coordinates

(8\,\text{cm},\,6\,\text{cm})

with respect to O. (i) Calculate the magnitude of the magnetic field at P produced by conductor X alone. (ii) Calculate the magnitude of the magnetic field at P produced by conductor Y alone. (iii) Determine the magnitude and direction of the net magnetic field at P due to both conductors.

Related theory

Vector Addition & Component Resolution
Fields due to Currents
Biot-Savart law
Moving Charges and Magnetism

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