Calculate the magnitude of the B -field at \'p\'. 1.13 A very long straight wire

Question

Calculate the magnitude of the B-field at 'p'.
1.13

A very long straight wire carrying an electric current is perpendicular to the x-y plane. The current has a value of 30.5 A and is directed in the -z (into the page). At point 'p', the magnetic field B is represented by one of the arrows. Indicate the direction of the magnetic field at point 'p'. T: The direction of the magnetic field is .... Calculate the magnitude of the B-field at 'p'. 1.1310-4 T Calculate the x-component of the B-field at 'p' ..... T

Explanation / Answer

The wire is at (9, 9) and P is at (7, 4).

Thus, the distance between them, by the distance formula is

r = SQRT( (x1 - x2)^2 + (y1 - y2)^2 ) = 5.385 cm

Thus, the x component is

Bx = B(y2 - y1) / r

= 1.13E-4 (4 - 9)/5.385 T

= -1.05*10^-4 T   [ANSWER]

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