An air conditioner connected to a 120 V RMS ac line is equivalent to a resistance and a inductive reactance in series. (a) Calculate the impedance of the air conditioner. (b) Calculate the average rate at which energy is supplied to the appliance.
The inductive reactance,
The RMS value,
The impedance of the air conditioner can be found from resistance, and inductive and capacitive reactance using the corresponding relation. Then using the formula for power, we can find the average rate at which energy is supplied to the appliance.
Here, XC is the capacitive reactance.
To find impedance use equation (1).
Substitute known numerical values in the above equation.
Hence, the impedance of the air conditioner is .
Define the average rate of energy as follow.
The average rate at which energy supplied to the appliance is .
An inductor is connected, as in Figure to an ac generator with . (a) What is the amplitude of the resulting alternating current if the frequency of the emf is ? and (b) What is the amplitude of the resulting alternating current if the frequency of the emf is ?
An inductor is connected across an alternating-current generator.
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