Two long thin parallel wires 13.0 cm apart carry 34A currents in the same direct

Question

Two long thin parallel wires 13.0 cm apart carry 34A currents in the same direction.  Determine the magnetic field at point P, 12.0 cm from one wire and 5.0 cm from the other (Fig. 20-55 above).  

________T at __________degrees (counterclockwise from the +x axis, which points to the right in the figure)

Please show all work and calculations!  Thanks!

Two long thin parallel wires 13.0 cm apart carry 34A currents in the same direction. Determine the magnetic field at point P, 12.0 cm from one wire and 5.0 cm from the other (Fig. 20-55 above). ________T at __________degrees (counterclockwise from the +x axis, which points to the right in the figure) Please show all work and calculations! Thanks!

Explanation / Answer

B1 = mue*i1/(2*pi*r1) = 1.36*10^-4 T

B2 = mue*i2/(2*pi*r2) = 0.567*10^-4 T

here B1 and B2 are perpendicular to eack other

Bnet = sqrt(B1^2+B2^2) =1.4735*10^-4 T


theta = tan^-1(5/12) = 22.62 degrees

B1x = B1*sin(22.62) = 0.523*10^-4 T

B1y = B1*cos(22.62) = 1.26*10^-4 T

B2x = B2*cos(22.62) = 0.5234*10^-4 T

B2y = B2*sin(22.62) = 0.218*10^-4 T

Bx = B1x - B2x = 0 T

By = B1y + B2y = 1.461*10^-4 T


theta = tan^-1(By/Bx) = 90 degrees with +x axis

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