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The two wires shown in the figure below are separated by d-10.5 cm and carry cur

ID: 1730714 • Letter: T

Question

The two wires shown in the figure below are separated by d-10.5 cm and carry currents of I-5.20 A in opposite directions. 2d (a) Find the magnitude and direction of the net magnetic field at a point midway between the wires magnitude direction 9.9e6 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. ?? into the page (b) Find the magnitude and direction of the net magnetic field at point P1, 10.5 cm to the right of the wire on the right. magnitude direction -Select (c) Find the magnitude and direction of the net magnetic field at point P2, 2d = 21.0 cm to the left of the wire on the left. magnitude direction Select...

Explanation / Answer

a) At the point half way between the two wires,
Bnet = -B1 - B2
Bnet = -[(µI1)2?r1 + (µI2)/2?r2]
Bnet = -(µ/2?r)(I1 + I2)
Bnet = [-(4?*10^-7)/(2?*5.25*10^-2)](5.2 + 5.2)
or Bnet = 39.6 µT into the page

b)
At point P1,
Bnet = +B1 - B2
Bnet = (µ/2?)[(I1/r1) - (I2/r2)]
Bnet = [(4?*10^-7)/6.283][(5.2)/(.105) - (5.2)/(0.21)]
Bnet = 4.95 µT out of page

c)
At point P3
Bnet = -B1 + B2
Bnet = (µ/2?)[-(I1/r1) + (I2/r2)]
Bnet = [(4?*10^-7)/6.283][-(5.2)/(0.325) + (5.2)/(0.21)]
Bnet = 1.75 µT out of page