The voltage across a 100-μF capacitor takes thefollowing values. Calculate the expression for thecurrent through the capacitor in each case.a. vC(t) = 40 cos(20t − π/2) Vb. vC(t) = 20 sin 100t Vc. vC(t) = −60 sin(80t + π/6) Vd. vC(t) = 30 cos(100t + π/4) V
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 voltage across a 100-μF capacitor takes the
following values. Calculate the expression for the
current through the capacitor in each case.
a. vC(t) = 40 cos(20t − π/2) V
b. vC(t) = 20 sin 100t V
c. vC(t) = −60 sin(80t + π/6) V
d. vC(t) = 30 cos(100t + π/4) V
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