# Susceptance and capacitance relationship to resistance

### Susceptance and Admittance | Reactance And Impedance -- R, L, And C | Electronics Textbook

Mathematically, conductance is the reciprocal of resistance, and each 1/R term in the “parallel resistance formula” is actually a conductance. Reactive components such as inductors and capacitors oppose the flow of electrons with respect to. Or a resistive component with a negative capacitive reactance: . admittance is the sum of conductance and susceptance more current will flow through a path of least resistance (I=V/R), a shunt connection with a very small. If you studied Resistance, Reactance, and Impedance, then you have a pretty good Thus, capacitive susceptance can be simplified into the following equation.

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.

**Electrical Engineering: Ch 10 Alternating Voltages & Phasors (69 of 82) Find Admittance=?**

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: Like conductances Gsusceptances B add in parallel and diminish in series.

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.

### What's the relationship between susceptance and reactance? - Electrical Engineering Stack Exchange

Just like with conductance, both of these are the reciprocal of their corresponding reactances. That is to say, capacitive susceptance is 1 divided by the capacitive reactance, and inductive susceptance is 1 divided by the inductive reactance. There's an added little nuance that should be noted to make these calculations easier, though. Recall that capacitive reactance is calculated as follows: But all this is not necessary, because the two divide-one-by operations cancel each other out.

### Susceptance - Wikipedia

Thus, capacitive susceptance can be simplified into the following equation: And finally, we come to admittance, symbolized by the letter Y, which is the opposite of impedance. You'll be glad to know perhaps that the formula for calculating admittance is identical to that of impedance, except that you use conductance and susceptance to calculate admittance not resistance and reactance, as you do with impedance.

Admittance is even measured in siemens, so this is all consistent across the board. Conductance, susceptance, and admittance are sometimes called the "evil twins" of resistance, reactance, and impedance, but in fact they are not so bad; As you've seen, they are certainly not calculated too much differently from their opposite counterparts, and once you understand these concepts, you should be pretty well set for a college degree in electronics.