The resistance, inductance, and capacitance in a parallel RLC circuit are 1900 Ω , 250 mH , and 9 nF , respectively. * Pt A. Calculate the minimum root of the characteristic equation that describes the voltage response of the circuit. Pt B. Calculate the maximum root of the characteristic equation that describes the voltage response of the circuit. Pt C.Will the response be over-, under-, or critically damped?
Sinusoids And Phasors
Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.
Circuit Theory
Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
*The resistance, inductance, and capacitance in a parallel RLC circuit are 1900 Ω , 250 mH , and 9 nF , respectively. *
Pt A. Calculate the minimum root of the characteristic equation that describes the voltage response of the circuit.
Pt B. Calculate the maximum root of the characteristic equation that describes the voltage response of the circuit.
Pt C.Will the response be over-, under-, or critically damped?
Pt D. What value of R will yield a damped frequency of 12 krad/s?
Pt E. What are the roots of the characteristic equation for the value of R found in Part D?
Pt F. What value of R will result in a critically damped response?
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