Examples of capacitance in the following topics:

 Express the relationship between the capacitance, charge of an object, and potential difference in the form of equation
Identify the SI units of capacitance
Capacitance is the measure of an object's ability to store electric charge.
 The unit of capacitance is known as the farad (F), which can be equated to many quotients of units, including JV^{2}, WsV^{2}, CV^{1}, and C^{2}J^{1}.
 Capacitance is the measure of an object's ability to store electric charge.
 Any body capable of being charged in any way has a value of capacitance.
 The unit of capacitance is known as the Farad (F), which can be adjusted into subunits (the millifarad (mF), for example) for ease of working in practical orders of magnitude.
 capacitance (noun) The property of an electric circuit or its element that permits it to store charge, defined as the ratio of stored charge to potential over that element or circuit (Q/V); SI unit: farad (F).

 +\frac {1}{C_n}$Capacitors in series follow the law of reciprocals; the reciprocal of the circuit's total capacitance is equal to the sum of the reciprocals of the capacitances of each individual capacitor.
 +C_n$For capacitors in parallel, summing the capacitances of individual capacitors affords the total capacitance in the circuit.
 +\frac {1}{C_n}}$
Total capacitance for a circuit involving several capacitors in parallel (and none in series) can be found by simply summing the individual capacitances of each individual capacitor .
 To find total capacitance of the circuit, simply break it into segments and solve piecewise .
 With effectively two capacitors left in parallel, we can add their respective capacitances (c) to find the total capacitance for the circuit.

 Describe the behavior of the dielectric material in a capacitor's electric field
A dielectric partially opposes a capacitor's electric field but can increase capacitance and prevent the capacitor's plates from touching.
 Capacitance for a parallelplate capacitor is given by:$c= \frac {\epsilon A}{d}$where ε is the permittivity, A is the area of the capacitor plates (assuming both are the same size and shape), and d is the thickness of the dielectric.
 If it has a high permittivity, it also increases the capacitance for any given voltage.
 The capacitance for a parallelplate capacitor is given by:
$c= \frac {\epsilon A}{d}$
where ε is the permittivity, A is the area of the capacitor plates (assuming both are the same size and shape), and d is the thickness of the dielectric.
 capacitance (noun) The property of an electric circuit or its element that permits it to store charge, defined as the ratio of stored charge to potential over that element or circuit (Q/V); SI unit: farad (F).

 The rms current in the circuit containing only a capacitor C is given by another version of Ohm's law to be $I_{rms} = \frac{V_{rms}}{X_C}$, where Xc is the capacitive reactance.
 However, the value of V_{max}/I_{max} is useful, and is called the capacitive reactance (X_{C}) of the component.
 The value of X_{C} (C standing for capacitor) depends on its capacitance (C) and the frequency (f) of the alternating current.

 For a parallelplate capacitor, capacitance (C) is related to dielectric permittivity (ε), surface area (A), and separation between the plates (d):
$C=\frac {\epsilon A}{d}$
Voltage (V) of a capacitor is related to distance between the plates, dielectric permittivity, conductor surface area, and charge (Q) on the plates:
$V= \frac {Qd}{\epsilon A}$
Depending on the dielectric strength (E_{ds}) and distance (d) between plates, a capacitor will "break" at a certain voltage (V_{bd}).

 $C=\frac {\epsilon A}{d}$ can be found from the previous equation, adjusting the terms to solve for capacitance (C).
 Through simplification and substitution, this integral can be changed to:
$V=\frac {\rho d}{\epsilon}=\frac {Qd}{\epsilon A}$
Given that capacitance is the quotient of charge and potential:
$C=\frac {\epsilon A}{d}$
Accordingly, capacitance is greatest in devices with high permittivity, large plate area, and minimal separation between the plates.

 Distinguish behavior of RLC series circuits as large and small frequencies
Response of an RLC circuit depends on the driving frequency—at large enough frequencies, inductive (capacitive) term dominates.
 The impedance Z at small frequencies $(\nu \ll \frac{1}{\sqrt{2\pi LC}})$ is dominated by the capacitive term, assuming that the frequency is high enough so that X_{C} is much larger than R.

 Express the relationship between the impedance, the resistance, and the capacitance of a series RC circuit in a form of equation
Define the impedance of a circuit
Impedance is the measure of the opposition that a circuit presents to the passage of a current when a voltage is applied.
 impedance (noun) A measure of the opposition to the flow of an alternating current in a circuit; the aggregation of its resistance, inductive and capacitive reactance.
Represented by the symbol Z.

 reactance (noun) The opposition to the change in flow of current in an alternating current circuit, due to inductance and capacitance; the imaginary part of the impedance.
 impedance (noun) A measure of the opposition to the flow of an alternating current in a circuit; the aggregation of its resistance, inductive and capacitive reactance.
Represented by the symbol Z.

 Unless the Q is very large it is not worth trying to be too precise about this measurement.
1.11 The equation describing the behavior of an RLC circuit are:
$\displaystyle{L \ddot{q} + R \dot{q} + \frac{1}{C}q = V(t)}$
where $q$ is the charge on the capacitor, $L$ is the inductance of the coil, $R$ is the resistance, $C$ the capacitance, and $V$ is the applied voltage.
 Answer: $\omega_0 \frac{L}{R} = \frac{1}{R} \sqrt{\frac{L}{C}}$
(d) If the inductance is $25 \times 10 ^{3}$ H (1 Henry = 1 volt per amp per second), what capacitance is required to have a characteristic period of 1 second?