Capacitor impedance from capacitance and frequency

The impedance of the capacitor is a purely imaginary reactive impedance which is inversely proportional to its capacitance. Note that the resistance of the capacitor is infinite, i.e. it is considered to be an opened connection.

Links:

  1. Wikipedia, second formula.

impedance

electrical_impedance of the capacitor.

Symbol:

Z

Latex:

\(Z\)

Dimension:

impedance

angular_frequency

angular_frequency of the alternating current.

Symbol:

w

Latex:

\(\omega\)

Dimension:

angle/time

capacitance

capacitance of the capacitor.

Symbol:

C

Latex:

\(C\)

Dimension:

capacitance

law

Z = -I / (w * C)

Latex:
\[Z = - \frac{i}{\omega C}\]