Electric potential of a non-uniform rod скачать в хорошем качестве

Electric potential of a non-uniform rod

This is an example of using calculus to find the electric potential of a continuous charge distribution, in this case for a rod with a non-uniform linear charge density. The example illustrates a general strategy for solving problems of this type: 1. Draw a picture. 2. Break the total charge into infinitesimal pieces dq. 3. Write dq in terms of the geometry (and the charge density). 4. Apply this to known results for dV due to a small charge dq (like Coulomb's law). 5. Integrate to find the total V. 6. Check your result in simple limits.