Three very long, straight, parallel wires each carry currents of 4 A, directed o

Question

Three very long, straight, parallel wires each carry currents of 4 A, directed out of the page in the drawing in the figure. The wires pass through the vertices of a right isosceles triangle of side 2 cm. What is the magnitude of the magnetic field at point P at the midpoint of the hypotenuse of the triangle?

2 cm 2 cm 4 A oult 4 A oult Three very long, straight, parallel wires each carry currents of 4 A, directed out of the page in the drawing in the figure. The wires pass through the vertices of a right isosceles triangle of side 2 cm. What is the magnitude of the magnetic field at point P at the midpoint of the hypotenuse of the triangle? O 1.77 x 10-5 T O 4.42 x 10-6 T O1.77 x 10-6 T O 5.66 × 10-5 T O 1.26 × 10-4 T Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

here,

due to similarity,

the magnetic feild at P due to corners of hypotnuse cancels out

d = 2 * 1.41 /2

d = 1.41 cm = 0.0141 m

therefore , the magnetic feild at P , B = u0 * I /( 2 *pi* d)

B = 1.26 * 10^-6 * 4 /( 2 * 0.0141 * pi)

B = 5.66 * 10^-5 T

the magnitude of the magnetic feild is 5.66 * 10^-5 T

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