What is the average power supplied

By definition, these are. With we obtain. This equation further emphasizes why the rms value is chosen in discussion rather than peak values. Alternating voltages and currents are usually described in terms of their rms values.

For example, the V from a household outlet is an rms value. The amplitude of this source is Because most ac meters are calibrated in terms of rms values, a typical ac voltmeter placed across a household outlet will read V. For a capacitor and an inductor, respectively. Since we find from Figure that the average power dissipated by either of these elements is Capacitors and inductors absorb energy from the circuit during one half-cycle and then discharge it back to the circuit during the other half-cycle.

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. The average ac current delivered to a circuit is zero. Despite this, power is dissipated in the circuit. Can the instantaneous power output of an ac source ever be negative? Can the average power output be negative? The power rating of a resistor used in ac circuits refers to the maximum average power dissipated in the resistor. How does this compare with the maximum instantaneous power dissipated in the resistor?

The emf of an ac source is given by where and Calculate the average power output of the source if it is connected across a a capacitor, b a mH inductor, and c a resistor. Calculate the rms currents for an ac source is given by where and when connected across a a capacitor, b a mH inductor, and c a resistor. C circuit is given by:. Start Learning English Hindi. This question was previously asked in. Answer Detailed Solution Below Option 1 : 0.

Learn today! Electric charges and coulomb's law Basic. Start Now. So option 1 is correct. NOTE : There is no loss of energy in the capacitor and inductor in any circuit. They only store energy. The loss of energy is only due to a resistor. Get Started for Free Download App. The power dissipated in the circuit is. The connecting cable of electrical appliances like electric iron, water heater or room heater contains three insulated copper wires of three different colours-red, green and black.

Which one of the following is the correct colour code? We use CFL to save electrical energy and to provide sufficient light. The full form of CFL is.

If the wire is stretched to double its length, its resistance would become. Which one of the following statements is not correct? Which of the following item is used in the household wirings to prevent accidental fire in case of short circuit? In step-down transformer, the AC output gives the. In a step-up or step-down transformer, electrical power is transferred from one circuit to another without change in. An AC voltage is applied to a purely capacitive circuit.