Advanced Placement Physics C: Electricity and Magnetism with calculus applications.
Capacitance measures a system’s ability to store electric charge. It’s defined as the ratio of charge to voltage:
\[ C = \frac{Q}{V} \]
For two parallel plates,
\[ C = \varepsilon_0 \frac{A}{d} \] where \( A \) is plate area and \( d \) is the distance between them.
Inserting a dielectric material between the plates increases capacitance by reducing the electric field, allowing more charge storage for the same voltage.
When voltage or charge changes with time, calculus helps us analyze how energy is stored and released.
Capacitors are everywhere in electronics, from camera flashes to tuning circuits!
\[C = \varepsilon_0 \frac{A}{d}\]
Calculating the capacitance of a capacitor filled with glass.
Determining energy stored in a defibrillator’s capacitor.
Capacitance measures how much electric charge can be stored, and dielectrics boost this ability.