Average strength in one L-R-C Circuit
An circuit is composed of a resistor (resistance
*
), inductor (inductance
*
), and capacitor (capacitance
*
) associated in collection with one AC resource supplying sinusoidal voltage
*
.Assume the all circuit facets are ideal, so the the only resistancein the circuit is due to the resistor. Additionally assume that is the resonant frequency that the circuit.

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What is the mean power
*
gave by the voltage source?
What is the instantaneous power
*
dissipated in the circuit? Note: girlfriend will need to use the reality that thecircuit is being driven at that is resonant frequency to get rid of from her answer.
The power dissipated in the circuit is equal to the voltage provided by the AC resource times the current in the circuit:
*
.

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The L-R-C circuit explained in the problem introduction obeys the differential equation

*
,

whereby is the fee on among the capacitor plates. After fixing tsdrta.nets equation because that as a duty of time, you deserve to take the derivative to find the current in the circuit:
*
. The result is
*
, where
*
, and also
*
.
The problem development states the the circuit is being pushed at that resonant frequency . What is the value of in regards to other offered quantities?