An inductor of reactance 
, a capacitor of reactance 
, and a resistor of resistance 
are connected in series with an AC source of 
. Average power dissipated by the circuit is ____ w.
Text Solution
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(1)
To calculate the average power dissipated in the circuit, we follow these steps:
Formula for Power:
Expressing Power in Terms of Voltage and
Impedance:
Simplifying the Expression:
Calculate Impedance (Z ):
The impedance of the circuit (Z) is calculated as:
Given:
Thus:
Substitute Values to Find Power (P):
Given 
, we calculate 
as follows:
Simplifying further:
Therefore, the average power dissipated by the circuit is 1 W.
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