Please answer question number 5. explain step by step please

5. Consider the same RLC circuit with R = 2 0, L = 20 mH and C = 20 mF. Now the AC voltage source creates a current i(t) = (0.5 A) cos(wt), where w = 75 rad/s. Ai(t) ol been a. Determine the reactance of the inductor and capacitor. -0.5 A- b. Determine the amplitude of the voltage across the resistor, inductor and capacitor. AVAB(t ) 1V- C. Sketch AVAB(t), AVBc(t) and AVCD(t). d. Use these graphs to sketch the total voltage, AVAD(t). -1V- AVBC(t ) e. What is the relationship between the phase of the current and total voltage? Would you say that the 1V- current is in phase, lags or leads the voltage? -1V- AVCD (t ) f. Is your graphical result roughly consistent with your 1V- calculation in the previous question? -1V- This positive, th JAVAD (t) 1V- ugh to right, sketch the ! -1V- on the relationsh1. Consider the RLC circuit with R = 2 0, L = 20 mH and i(t) C = 20 mF. The AC voltage source creates a current i(t) = (0.5 A) cos(wt), where w = 50 rad/s. The arrow in the A figure shows the direction of "positive" current. a. What is the reactance of the inductor, XL, and the reactance of the capacitor, Xc? b. What is the amplitude of the voltage across the resistor? the inductor? the capacitor? off day-0.5 A- beqolovebuoy (songmolen To1 rigeng sil no aword) of linorhogand (Java al znoblesup egoiverig ord c. First, let's consider the resistor. The voltage across the resistor is zero when the current is: The magnitude of the voltage across the resistor is greatest when the current is: esad d. If the current, i(t), is positive, the current direction is to the right in the figure. i(t) If i(t) is positive, is the voltage difference AVAB = VA - VB positive, negative or zero? e. On the graph to right, sketch the AVAB as a function of time. Focus on the relationship with the current (shown on the graph for reference) you developed in the previous questions. Is AVAB(t) proportional to +cos(wt), +sin(wt), -cos(wt) or -sin(wt)? Use this and AAA the amplitude calculated in part b to write the function AVAB (t). f. Does the current reach its maximum at the same time, earlier or later than the voltage across the resistor? Would we say the current is in phase with, lags or leads the voltage