Two long thin parallel wires 13.0 c m apart carry 18 ? A currents in the same di

Question

Two long thin parallel wires 13.0 cm apart carry 18?Acurrents in the same direction.

A)Determine the magnitude of the magnetic field at point P, 12.0

cm from one wire and 5.0 cm from the other.

B) Determine the direction of the magnetic field at point P. Assume that +x points horizontally to the right.

Two long thin parallel wires 13.0 cm apart carry 18?Acurrents in the same direction. Determine the magnitude of the magnetic field at point P, 12.0 cm from one wire and 5.0 cm from the other. Determine the direction of the magnetic field at point P. Assume that +x points horizontally to the right.

Explanation / Answer

From Ampere's Law :
int (B.ds) = (u0)I

(B1)(2 pi (0.120 m)) = (1.257*10^-6 N/A^2)(18 A)
B1 = 3.002*10^-5 T

(B2)(2 pi (0.050 m)) = (1.257*10^-6 N/A^2)(18 A)
B2 = 7.20*10^-5 T

(a)
B = sqrt[(3.002*10^-5 T)^2 + (7.20*10^-5 T)^2]
B = 7.801*10^-5 T

(b)
Field will be rightwards.

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