3 Learning Goal:To understand the relationship between AC voltage and current inresistors, inductors, and capacitors, especially the phase shiftbetween the voltage and the current.In this problem, we consider the behavior of resistors, inductors, andcapacitors driven individually by a sinusoidally alternating voltagesource, for which the voltage is given as a function of time byV(t)= Vo cos(wt). The main challenge is to apply your knowledgeof the basic properties of resistors, inductors, and capacitors to these"single-element" AC circuits to find the current I (t) through each. Thekey is to understand the phase difference, also known as the phaseangle, between the voltage and the current. It is important to take intoaccount the sign of the current, which will be called positive when itflows clockwise from the b terminal (which has positive voltage relativeto the a terminal) to the a terminal (see figure). The sign is critical inthe analysis of circuits containing combinations of resistors,capacitors, and inductors.(Figure 1)Figure(1)-1(0)Kwww(2)10-Ⓒ32000(3)1(t)-OC6a1 of 1 Part AFirst, let us consider a resistor with resistance R connected to an AC source (diagram 1). If the AC source provides a voltage Va(t)= Va cos(wt), what is the currentIn (t) through the resistor as a function of time?Express your answer in terms of Va, R, w, and t.View Available Hint(s)In (t)=SubmitPart BVO ΑΣΦVRSubmitCOS(@T)Previous Answers[5] ΑΣΦVL (t)- Lal, sin (@•1)Now consider an inductor with inductance L in an AC circuit (diagram 2) Assuming that the current in the inductor varies as It (t)=Is cos(at), find the voltageVL (t) that must be driving the inductor.Express your answer in terms of Io. L, w, and t. Use the cosine function, not the sine function, in your answer.View Available Hint(s)3?Previous AnswersConstants 1 Periodic Table00 2X Incorrect; Try Again; 5 attempts remaining

Solution: part A. The voltage of an alternating voltage source given in the question is, Vt=V0cosωt…

Answered: First, let us consider a resistor with…