10cos(1000t + 30°)V iL (t) 6mH vc(t) 1/2mF For the above circuit, use phasor domain analysis techniques to find i (t) and vclt). It is known that the solution for each has the following form iL(t) = A cos(1000t + B) Amps and vct) = C cos(1000r + D) Volts Where A and C are both positive and both B and Dare in degrees. Match the values accordingly. NOTE: Capacitance is 0.5x103 F and Inductance is 6 x 10 3 H v A= a. -26.3° V B= b. 1.5 v C= 1.6 v D= d. 1.3 e. 38.2° f. -20.2° g. 33.4° h. 5.5 4.5 j. 3.7 k. 1.1 1. 44,1° m. 2.7 n. -41.6° ll

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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).