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III. Electric Potential - Worked Examples

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Example 4: Change in Potential Energy for a Charge Moving Near a Uniformly Charged Wire A thin rod extends along the z-axis from z =−d toz =d. The rod carries a charge Q uniformly distributed along its length 2 d with linear charge density λ=Q/(2d) . What is the change in potential energy when a particle of mass and negative charge

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Step 8: The qualitative behavior of E as a function of r is plotted in Figure 4.3. Figure 4.3 Electric field due to a uniformly charged sphere as a function of r 8. Example 5: Spherical shell A thin spherical shell of radius a has a charge +Q evenly distributed over its surface. Find the electric field both inside and outside the shell.

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