Electric Potential and Capacitance
Connect work done against fields to potential, capacitance, and stored energy.
Define potential at a point as work per unit charge from infinity. Derive potential of a point charge and a dipole.
Introduce capacitance through the parallel-plate geometry; build intuition with dielectrics.
Derive energy stored in a capacitor, both ½CV² and ½QV forms.
- [numerical]A 10µF capacitor is charged to 100V. Find stored energy.
- [short]Why does a dielectric increase capacitance?