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Learn how to apply Gauss’s Law with cylindrical surfaces to determine charge distribution on conductors, calculating electric fields due to rings and disks using charge densities and principles of electrostatics.
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Use Gauss’s Law with a cylindrical surface Results similar to previous except use r2 instead of r when finding the amount of charge from the shell
A ring of radius a carries a uniformly distributed positive total charge Q. Calculate the electric field due to the ring at a point P lying a distance x from its center along the central axis perpendicular to the plane of the ring. Pg. 673 Example 23.7
The vertical component of the electric field vectors will cancel. Only concerned with the horizontal component
A disk of radius R has a uniform charge density σ. Calculate the electric field at a point P that lies along the central perpendicular axis of the disk and a distance x from the center of the disk. (Pg. 674 Example 23.8)