Find an expression for the magnetic field strength at the center (point P) of the circular arc in
We should find an expression for the magnetic field strength at the center (point P) of the circular arc in
A current-carrying wire produces a magnetic field the Biot-Savart law enables us to calculate the magnetic field at any point where the magnetic field due to the segment of current-carryinjg wire is given by equation
The two straight wires are parallel to the point P, so both wires apply zero magnetic fields at point P in this case, the magnetic field at point P is due to the arc wire. The arc wire apply a perpendicular magnetic field at point P, so the magnetic field due to the arc is
At very small segments the angle is very small where and from the given figure, segment is
Where r is the radius of the arc. Now, we substitute the expression into equation to get
A long wire carrying a A current perpendicular to the xy-plane intersects the x-axis at. A second, parallel wire carrying a A current intersects the x-axis at cm. At what point or points on the x-axis is the magnetic field zero if
(a) the two currents are in the same direction and
(b) the two currents are in opposite directions?
The lightweight glass sphere in FIGURE Q29.1 hangs by a thread. The north pole of a bar magnet is brought near the sphere.
a. Suppose the sphere is electrically neutral. Is it attracted to, repelled by, or not affected by the magnet? Explain.
b. Answer the same question if the sphere is positively charged.
94% of StudySmarter users get better grades.Sign up for free