Capacitor

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A capacitor is a device with the ability to store an electric charge. Capacitance is usually measured in farads, which are usually denoted with an F. Capacitors with smaller values (<10µF) are mainly used in AC circuits due to their abilities to pass AC while removing DC voltages and to show a different impedance to different frequencies of AC. Larger capacitors are mainly used in power supply circuits to remove ripple from a DC output or in circuits that require a large charge, eg. camera flashes.

Theory

An ideal capacitor is described by this equation:

LaTeX: C%20%3D%20%5Cfrac%7BQ%7D%7BV%7D

Where C is the capacitor's value in farads, Q is the capacitor's charge in coulombs, and V is the voltage over the capacitor.

Capacitors put in series are described by the equation:

LaTeX: %20%5Cfrac%7B1%7D%7BC_%7Bt%7D%7D%20%3D%20%5Cfrac%7B1%7D%7BC_1%7D%20%2B%20%5Cfrac%7B1%7D%7BC_2%7D%20%2B%20%5Ccdots%20%2B%20%5Cfrac%7B1%7D%7BC_n%7D

Where Ct is the total capacitance of the network and C1...Cn are the values of the individual capacitors.

Capacitors put in parallel are described by the equation:

LaTeX: %20C_%7Bt%7D%20%3D%20C_1%20%2B%20C_2%20%2B%20%5Ccdots%20%2B%20C_n

Where Ct is the total capacitance of the network and C1...Cn are the values of the individual capacitors.

The energy stored in a capacitor may be found by measuring the voltage, and is given by

LaTeX: %20E%20%3D%20.5%20C%20V%5E2%20

where E is the energy in joules, C is the capacitance, and V is the voltage.

how to select capacitors

No capacitor is ideal; therefore there are parasitic properties to account for, when designing real circuits.

  • equivalent series resistance (ESR);
  • maximum charge voltage;
  • maximum ripple current;
  • polarized versus unpolarized?

exceeding the maximum ratings may harm the device, leading to failures such as shorts, or to reduced capacitance or lifetime.

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