This behavior is illustrated in the plots of Figure , b and c , which show p t oscillating sinusoidally about zero. The phase angle for an ac generator may have any value.
If the generator produces power; if it absorbs power. In terms of rms values, the average power of an ac generator is written as. Power Output of a Generator An ac generator whose emf is given by.
Strategy The rms voltage is the amplitude of the voltage times. The impedance of the circuit involves the resistance and the reactances of the capacitor and the inductor. The average power is calculated by Figure , or more specifically, the last part of the equation, because we have the impedance of the circuit Z , the rms voltage , and the resistance R.
Significance If the resistance is much larger than the reactance of the capacitor or inductor, the average power is a dc circuit equation of where V replaces the rms voltage. Check Your Understanding An ac voltmeter attached across the terminals of a Hz ac generator reads 7. Write an expression for the emf of the generator.
Check Your Understanding Show that the rms voltages across a resistor, a capacitor, and an inductor in an ac circuit where the rms current is are given by respectively. Determine these values for the components of the RLC circuit of Figure. For what value of the phase angle between the voltage output of an ac source and the current is the average power output of the source a maximum?
The instantaneous power is the power at a given instant. The average power is the power averaged over a cycle or number of cycles. Create a free Team What is Teams? Learn more. Asked 6 years, 2 months ago. Active 10 months ago. Viewed 20k times. Improve this question. Tajammul Saleem Tajammul Saleem 7 1 1 gold badge 2 2 silver badges 4 4 bronze badges. That's all there is to it. Usually, the power varies in some way that repeats itself over time. In that case, you only need to average over one single period.
The average power dissipated in the 50 ohm resistor is calculated along with the corresponding RMS value of the voltage and it can also be noted that the average power here is independent of the frequency.
Your email address will not be published. Sign me up for your mailing list. Solution : The current I is given by. The average power supplied by the voltage source is. The current through the resistor is. The average power absorbed by the resistor is. Zero average power is absorbed by the capacitor.
Determine the average power generated by each source and the average power absorbed by each passive element in the circuit of Figure. Solution : We apply to mesh analysis as shown in Figure.
For mesh 1,. Following the passive sign convention, this average power is absorbed by the source, in view of the direction of I 2 and the polarity of the voltage source. That is, the circuit is delivering average power to the voltage source. The average power supplied by the current source is. It is negative according to the passive sign convention, meaning that the current source is supplying power to the circuit. The average power absorbed by the capacitor is. Thus, the average power absorbed by the inductor is.
Notice that the inductor and the capacitor absorb zero average power and that the total power supplied by the current source equals the power absorbed by the resistor and the voltage source, or. Do you have a spam issue on this site; I also am a blogger, and I was curious about your situation; many of us have created some nice practices and we are looking to trade strategies with other folks, be sure to shoot me an email if interested.
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