(Solved): v(t) = 14 cos (wt) v(t) = 22 cos (wt +) where the angle is given in radians. 1.1 Convert v ...

v?(t) = 14 cos (wt) v?(t) = 22 cos (wt +) where the angle is given in radians. 1.1 Convert v? (t) and, v? (t) into phasors V? and V? respectively. 1.2Find the phasor V3 representing v3 (t) = v?(t) + v?(t). 1.3Convert phasor V3 to the time domain v3 (t). 1.4If phasor V? = ?7+j12 volts, the write v? (t) in the time domain. What is the amplitude of v? (t)? What is the phase angle of v4 (t)? 1.5Voltage v? (t) is applied to an impedance Z? and the current that flows is i?(t) = 2 cos(wt - 65°) where the angle is given in degrees. What is the impedance Z? of the component? If Z? = R?+jX?, what is the resistance R?? What is the reactance X?? 1k? + + is(t) Vs(t) The current source has value is (t) = 5 cos(wt) milliAmps at a frequency of f = 150 Hz. 2.1 What is the impedance of the capacitor? (Hint: Zc = juc ohms.) 2.2Use phasors and impedance to find the phasor representing the voltage across the capacitor. What is the amplitude and the phase (in degrees) of the voltage across the capacitor? 2.3 What is the input impedance of the circuit at the terminals of the current source? 2.4What is the phasor representing the voltage across the current source? Give the answer in polar form. 2.5What is the amplitude and phase of the voltage v, (t) across the current source? Write the voltage in the time domain, v, (t). Reference This circuit is taken from Alexander and Sadiku, "Problem Solving Workbook". ve(t) 1 ?F