For the circuit shown in Fig.2 below:
a. Employ phasor analysis techniques to obtain expressions for the two mesh currents i1 and i2. Express these currents in polar form.
b. Represent the mesh currents in the time domain.
c. What is the frequency and period of the voltage v(t) across the 2Ω resistor that would be measured using an oscilloscope?
d. What is the peak-to-peak value of this voltage on the oscilloscope? Make an approximate sketch of v(t) and vs(t) (i.e., source voltage) together that would appear on the oscilloscope if they were measured on two channels. Use an appropriate time scale.
e. Show the phase of v(t) relative to vs(t) in seconds, as it would appear on the oscilloscope.