iR C Vo L- 8.2-6 Full Alternative Text
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).
A 10 mH inductor, a 1 μF capacitor, and a variable resistor are
connected in parallel in the circuit shown. The resistor is adjusted so that
the roots of the characteristic equation are −8000±j6000 rad/s. The
initial voltage on the capacitor is 10 V, and the initial current in the
inductor is 80 mA. Find
1. R;
2. dv(0+)/dt;
3. B1 and B2 in the solution for v; and
4. iL(t).
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