Examples of Power in AC RLC Circuit in Network Theory explained with following Timestamps:
0:00 - Examples of Power in AC RLC Circuit - Network Theory
0:29 - Example 1
5:09 - Example 2
8:29 - Practice Questions on Power in AC RLC Circuit

Examples of Power in AC RLC Circuit in Network Theory explained with following outlines:
0. Network Theory
1. Power in AC Circuit
2. Examples of Power in AC RLC Circuit
3. Apparent Power
4. Average Power / Active Power / Real Power
5. Reactive Power
6. Power Factor
7. RLC Circuit
8. Practice Questions on Power in AC RLC Circuit

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Details of Power in AC Circuit - Instantaneous Power, Average Power, Apparent Power and Power Factor:

In an AC circuit, power is the rate at which energy is transferred from the source to the load. Power in AC circuits is more complex than in DC circuits because the voltage and current are constantly changing with time. There are several types of power in AC circuits, including instantaneous power, average power, apparent power, and power factor.

Instantaneous Power:
Instantaneous power is the power at any instant in time and is given by the product of the voltage and current at that instant. The instantaneous power at time t is given by the equation P(t) = v(t) x i(t), where v(t) is the voltage at time t, and i(t) is the current at time t.

Average Power:
Average power is the average value of the instantaneous power over one complete cycle of the AC waveform. The average power is given by the equation P_avg = (1/T) x ∫(t to t+T) p(t) dt, where T is the period of the waveform, p(t) is the instantaneous power at time t, and the integral is taken over one complete cycle of the waveform.

Apparent Power:
Apparent power is the product of the RMS voltage and RMS current in an AC circuit. Apparent power is the power that the load would consume if the voltage and current were both DC. Apparent power is given by the equation S = V_RMS x I_RMS, where V_RMS is the RMS voltage and I_RMS is the RMS current.

Power Factor:
Power factor is the ratio of the real power (average power) to the apparent power in an AC circuit. The power factor is a measure of how efficiently the load is using the power delivered by the source. Power factor is given by the equation PF = P_avg / S, where P_avg is the average power and S is the apparent power.

In summary, the instantaneous power is the power at any instant in time, the average power is the average value of the instantaneous power over one complete cycle of the waveform, the apparent power is the product of the RMS voltage and RMS current, and the power factor is the ratio of the real power to the apparent power. These power parameters are important in designing and analyzing AC circuits, as well as in determining the efficiency of power transmission and consumption.

Details of Power Triangle and Impedance Triangle:

The power triangle and impedance triangle are both useful tools in analyzing AC circuits.

Power Triangle:
The power triangle is a graphical representation of the relationship between real power, reactive power, and apparent power in an AC circuit. It is called a triangle because the three quantities can be represented as the three sides of a right triangle. The real power is represented by the horizontal leg of the triangle, reactive power is represented by the vertical leg of the triangle, and the apparent power is represented by the hypotenuse of the triangle. The angle between the real power and the apparent power is the power factor angle.

Impedance Triangle:
The impedance triangle is a graphical representation of the relationship between resistance, reactance, and impedance in an AC circuit. It is also called a phasor diagram. The resistance is represented by the horizontal leg of the triangle, the reactance is represented by the vertical leg of the triangle, and the impedance is represented by the hypotenuse of the triangle. The angle between the resistance and the impedance is the phase angle.

Both the power triangle and the impedance triangle can be used to calculate the values of the various quantities in an AC circuit. For example, given the values of real power and reactive power, the power triangle can be used to calculate the value of the apparent power and the power factor angle. Similarly, given the values of resistance and reactance, the impedance triangle can be used to calculate the value of the impedance and the phase angle. These tools are especially useful in power systems analysis, where it is necessary to understand the flow of power and the behavior of circuits with reactive components.