Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The two wires shown in Figure P19.38 carry currents of 5.00 A in opposite direct

ID: 1374490 • Letter: T

Question

The two wires shown in Figure P19.38 carry currents of 5.00 A in opposite directions and are separated by 10.0 cm. Find the direction and magnitude of the net magnetic field at the following locations.


(a) at a point midway between the wires
T  ---Select--- out of the page upward to the left to the right downward into the page
(b) at point P1, 10.0 cm to the right of the wire on the right
T  ---Select--- upward to the left downward to the right into the page out of the page
(c) at point P2, 20.0 cm to the left of the wire on the left
T  ---Select--- to the right to the left downward upward out of the page into the page

The two wires shown in Figure P19.38 carry currents of 5.00 A in opposite directions and are separated by 10.0 cm. Find the direction and magnitude of the net magnetic field at the following locations. (a) at a point midway between the wires T ---Select--- out of the page upward to the left to the right downward into the page (b) at point P1, 10.0 cm to the right of the wire on the right T ---Select--- upward to the left downward to the right into the page out of the page (c) at point P2, 20.0 cm to the left of the wire on the left T ---Select--- to the right to the left downward upward out of the page into the page

Explanation / Answer

Note that for a long wire,

B = uo I / [2 pi r]

where the direction of B is determined by the right hand rule.

The net magnetic field at any point here is the sum of the magnetic fields due to each of the wires.

Thus, midway,

B = 4.00*10^-5 T, INTO THE PAGE   [ANSWER, PART A]

******************

At P1,

B = 5.00*10^-6 T, OUT OF THE PAGE   [ANSWER, PART B]

*****************

At P2,

B = 1.67*10^-6 T, OUT OF THE PAGE   [ANSWER, PART C]

******************