# Relationship between susceptance and capacitance in series

### Susceptance - Wikipedia It is a useful term when exploring the mathematical formula for parallel Mathematically, conductance is the reciprocal of resistance, and each 1/R term in the Like conductances (G), susceptances (B) add in parallel and diminish in series. “The impedance of a circuit is the ratio of the phasor voltage (V) to the phasor current (I)” . In series circuits, conductance and susceptance combine in a more . The Parallel RLC Circuit is the exact opposite to the series circuit we looked at in the current of the circuit similar to that for a DC parallel circuit, the difference this . Susceptance has the opposite sign to reactance so Capacitive susceptance.

In the study of DC circuits, the student of electricity comes across a term meaning the opposite of resistance: It is a useful term when exploring the mathematical formula for parallel resistances: Unlike resistance, which diminishes as more parallel components are included in the circuit, conductance simply adds.

Resistance is the measure of how much a circuit resists current, while conductance is the measure of how much a circuit conducts current. Now, the proper unit of measurement is Siemens.

Reactive components such as inductors and capacitors oppose the flow of electrons with respect to time, rather than with a constant, unchanging friction as resistors do. We call this time-based opposition, reactance, and like resistance, we also measure it in the unit of ohms. As conductance is the complement of resistance, there is also a complementary expression of reactance, called susceptance.

Like conductance, it used to be measured in the unit of mhos, but now is measured in Siemens. While reactance is the measure of how much a circuit reacts against change in current over time, susceptance is the measure of how much a circuit is susceptible to conducting a changing current. If one were tasked with determining the total effect of several parallel-connected, pure reactances, one could convert each reactance X to a susceptance Bthen add susceptances rather than diminish reactances: And there's good news: All of these forces are quite easy to understand and mathematically calculate. Conductance is the opposite of resistance. While resistance is the restriction of current because of the chemical composition of a substance, conductance is the ability to conduct electricity of a certain material. Conductance is measured in siemens S. Conductance is the reciprocal of resistance; That is to say, conductance is 1 divided by resistance.

Impedance, Admittance, Reactance, Inductance, Capacitance, Conductance, Susceptance

For example, if you have a 1, ohm resistor, its conductance is 1 divided byor 0. This would probably be expressed by an engineer as 1 mS, one millisiemen. The conductance of a ohm resistor is about 2. Notice that as resistance goes down, conductance goes up. Conductance's electrical symbol is G. Susceptance symbolized with a B is the opposite of reactance. Just as there's capacitive reactance and inductive reactance, so too there is capacitive susceptance BC and inductive susceptance BL.