Two parallel wires are 5.10 cm apart and carry currents in opposite directions,

Question

Two parallel wires are 5.10 cm apart and carry currents in opposite directions, as shown in the following figure. Find the magnitude and direction of the magnetic field at point P due to two 1.20-mm segments of wire (d?) that are opposite each other and each 8.00 cm from P. (Let d? = 1.20 mm.)

magnitude T direction Two parallel wires are 5.10 cm apart and carry currents in opposite directions, as shown in the following figure. Find the magnitude and direction of the magnetic field at point P due to two 1.20-mm segments of wire (d?) that are opposite each other and each 8.00 cm from P. (Let d? = 1.20 mm.) magnitude T direction

Explanation / Answer

By Biot Savart Law,

dB = uo I dl r sin(A) / [4 pi|r|^3]

For the upper segment,

dl = 1.20E-3 m
I = 12.0 A
r = 8E-2 m
A = 18.59 degrees

Thus,

dB = 7.1726E-8 T, into the page

For the upper segment,

dl = 1.20E-3 m
I = 24.0 A
r = 8E-2 m
A = 18.59 degrees

Thus,

dB = 1.4345E-7 T, into the page

Thus,

dBtot = 2.15*10^-7 T, into the page [ANSWER]

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