EfieldSuperposition - Superposition of Gauss’s Law...

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Unformatted text preview: Superposition of Gauss’s Law Electric fields vectors from multiple sources simply add up at every location of interest. This is called superposition . As a first example, consider a pair of point charges placed as shown in the figure to the right. Using E=kQ/r ² , you should be able to convince yourself that the electric field at the point of interest due to the charge on the left is ! ˆ x 4 k N / C and the field due to the charge above is ! ˆ y 3 k N / C . The total electric field at the point of interest is thus ! 4 k ˆ x ! 3 k ˆ y ( ) N / C because for vectors, x-direction values add only to x-direction values and so on. Gauss’s Law problems involving multiple charges are usually set up with concentric spheres or cylinders. The example shown at the right consists of a line charge centered within a cylindrical surface charge. For points of interest within the cylinder, only the line-charge contributes to the field the cylinder can create no field within itself. Outside the cylinder, however, the fields from each source add up. cylinder, however, the fields from each source add up....
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