To calculate I1 we have to calculate the admittance Y of the circuit, and then we have immediately **I2=YV**. The impedance of R and C in series is R−jAR and so its admittance is 1R−jaR. The admittance of the rectangle is therefore 1R−jaR+1R=1R⋅[2−ja1−ja].

Admittance is defined as a measure of how easily a circuit or device will allow current to flow through it. Admittance is the reciprocal (inverse) of impedance, akin to how conductance and resistance are related. The SI unit of admittance is the siemens (symbol S).

Although impedances add in series, the total impedance for a circuit containing both inductance and capacitance may be less than one or more of the individual impedances, because series inductive and capacitive impedances tend to cancel each other out.

The impedance of the circuit is the total opposition to the flow of current. For a series RLC circuit, and impedance triangle can be drawn by dividing each side of the voltage triangle by its current, I.

Calculation of Total Current and Total Impedance

First, we could calculate total impedance from all the individual impedances in parallel (Z_{Total}= 1/(1/Z_{R}+ 1/Z_{L}+ 1/Z_{C}), and then calculate total current by dividing source voltage by total impedance (I=E/Z).

For components connected in parallel, the voltage across each circuit element is the same; the ratio of currents through any two elements is the inverse ratio of their impedances.

Admittance (symbolized Y ) is an expression of the ease with which alternating current ( AC ) flows through a complex circuit or system. Admittance is a vector quantity comprised of two independent Scalar phenomena: conductance and susceptance .

- Overview. This tool is designed to calculate the reactance and admittance of an inductor if its inductance and the frequency of the supply voltage is given. ...
- Equations. XL=2πfL. ...
- Applications. An inductor is one of the three basic passive electrical components together with the resistor and the capacitor. ...
- Further Reading.

In electrical engineering, admittance is a measure of how easily a circuit or device will allow a current to flow. It is defined as the reciprocal of impedance, analogous to how conductance & resistance are defined.

The total admittance of the circuit can simply be found by the addition of the parallel admittances. Then the total impedance, Z_{T} of the circuit will therefore be 1/Y_{T} Siemens as shown.

Steps for Solving Bus Admittance Matrix

Select the reference bus to solve the network. Define the known variables for all the other types of buses. Assign the initial values for the voltage and angle for all the buses. Calculate the power mismatch vector and power injection current.

The input admittance (1/impedance) is a measure of the load's propensity to draw current. The source network is the portion of the network that transmits power, and the load network is the portion of the network that consumes power.

Z=√R2+(XL−XC)2 Z = R 2 + ( X L − X C ) 2 , which is the impedance of an RLC series AC circuit.

In series RLC circuit, the current flowing through all the three components i.e the resistor, inductor and capacitor remains the same, but in parallel circuit, the voltage across each element remains the same and the current gets divided in each component depending upon the impedance of each component.

To calculate impedance, calculate the resistance and reactance of the circuit, then label resistance as R and reactance as X. Square both R and X, and add the two products together. Take the square root of the sum of the squares of R and X to get impedance.

Formula for the resonant frequency of the RLC circuit

If, for example, we assume an inductance L = 1 µH and the capacitance C = 2 pF , the resulting frequency is f = 112.54 MHz . This frequency is a typical frequency of radio transmissions in the VHF range.

In series RLC circuit, the condition XL(Inductive reactance) = XC (Capacitive reactance) is called resonance condition. In this condition the inductive reactance get cancelled by capacitive reactance. So,the entire RLC series circuit just acts as a resistive circuit. So,the power factor is unity.

Steps for Solving Circuit by Admittance Method

Step 1 – Draw the circuit as per the given problem. Step 2 – Find the impedance and phase angle of each branch. Step 3 – Now, find Conductance, Susceptance and Admittance of each branch. Step 4 – Find the algebraic sum of conductance and susceptance.

RL Circuits (resistor – inductor circuit) also called RL network or RL filter is a type of circuit having a combination of inductors and resistors and is usually driven by some power source. As such, an RL circuit has the inductor and a resistor connected in either parallel or series combination with each other.

A Phasor Diagram can be used to represent two or more stationary sinusoidal quantities at any instant in time. Generally the reference phasor is drawn along the horizontal axis and at that instant in time the other phasors are drawn. All phasors are drawn referenced to the horizontal zero axis.