Capacitor Formulas and Considerations
The relationship between charge, voltage, and capacitance is defined by the formula C = Q/V, where C is capacitance, Q is charge, and V is voltage. When you need to calculate the energy stored in a capacitor, use E = ½CV².
The time constant of a capacitor-resistor circuit is given by τ = RC. This tells you how quickly a capacitor charges or discharges through a resistor - a crucial concept for timing circuits. After one time constant, a capacitor charges to about 63% of the full voltage.
When working with capacitors, always check the voltage rating - exceeding this can damage or destroy the component. Also consider the operating temperature range, as capacitors can behave differently at extreme temperatures. Finally, be aware that real capacitors have some leakage current where charge slowly drains away, which can affect long-term circuit performance.