Courses - Engr 204 Examples
Phasor Domain Analysis
Find the time-domain
voltage, Vc(t) over the capacitor by using phasor techniques.
Find the time-domain voltage over the capacitor using phasor domain techniques. The voltage and current source are both AC (sine) sources with frequency of 1MHz.
Solve for
the magnitude of the current through the capacitor.
a) Write the time-domain (differential) node voltage equations for the circuit shown. Do not solve.
b) Solve for the voltage Vx(t) using phasor analysis.
Assume the
source voltage is sinusoidal with a magnitude (not rms) of Vs, a phase angle
of 0º, and a frequency of w. The transformer has a turns ratio of n1:n2.
a) Solve symbolically for Zeq, the equivalent impedance seen at the primary
connections of the transformer, looking right. Your answer should be in the
phasor domain (in terms of the frequency w).
b) Find the real (P) and reactive (Q) power dissipated in the elements to the right of the transformer. Your answer will again be symbolic.
Gain for the filter circuit shown below is defined as Vout/Vin where Vout is the voltage over the resistor RL. Find the gain in the phasor domain (as a function of jw). You must solve for Vout/Vin but you do not need to simplify once you have found that ratio.
