Figure 29-49 shows two very long straight wires (in cross section) that each carry a current of directly out of the page. Distance and distance . What is the magnitude of the net magnetic field at point P, which lies on a perpendicular bisector to the wires?
Magnitude of the net magnetic field at point P is .
By using the concept of magnetic field due to long wire carrying current and component of magnetic field, determine the net magnetic field at point P.
Magnetic field due to the wire at point P is
Here, , permeability of free space, distance of wire.
First of all, we have to find the r.
By using Pythagoras theorem, solve as:Now, the magnetic field is given by
The component of the magnetic field cancels with each other, so the magnetic field at point P is
A current is set up in a wire loop consisting of a semicircle of radius, a smaller concentric semicircle, and two radial straight lengths, all in the same plane. Figure 29-47a shows the arrangement but is not drawn to scale. The magnitude of the magnetic field produced at the center of curvature is . The smaller semicircle is then flipped over (rotated) until the loop is again entirely in the same plane (Figure29-47 b).The magnetic field produced at the (same) center of curvature now has magnitude , and its direction is reversed. What is the radius of the smaller semicircle.
Figure shows a cross section of a long thin ribbon of width that is carrying a uniformly distributed total currentlocalid="1663150167158" into the page. In unit-vector notation, what is the magnetic field at a point P in the plane of the ribbon at a distance localid="1663150194995" from its edge? (Hint: Imagine the ribbon as being constructed from many long, thin, parallel wires.)
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