0 3. Cornsider the RC circuit shown in Figure 3 at the right. The current in thi

Question

0 3. Cornsider the RC circuit shown in Figure 3 at the right. The current in this circuit is given by /s/sin(co,-) where ca-i5og, v is in volts and t is in seconds. a. Find the impedance Z of this circuii. Show all the necessary calculations. (10 points) 100sin(150) b. Find the current amplitude 1 and the phase angle for the current in this circuit. Does the current lead or lag the voltage? (10 points) Find the voltage amplitudes across the resistor and the capacitor. Do these add to the voltage amplitude across the c. 40 ohms 222 u generator? If not, explain why not. (8 points) d. Sketch a phasor diagram for this circuit. Show phasors for Figure 3 the current, the voltage across the capacitor and the voltage across the resistor. Show how the voltage phasors add to the total vnltona nhne~-V-a

Explanation / Answer

Given,

R = 40 Ohm ; C = 222 uF ; V = 100

a)We know that

Z = sqrt (R^2 + Xc^2)

Z = sqrt (40^2 + (1/150 x 222 x 10^-6)^2) = 50.02 Ohm

Hence, Z = 50.02 Ohm

b)phi = tan^-1(Xc/R)

phi = tan^-1 (1/(150 x 222 x 10^-6)/40) = -36.89 deg

I = V/Z = 100/50.02 = 2 A

Hence, phi = -36.89 deg and I = 2A

Current leads the voltage

c)Vr = 2 x 40 = 80 V

Vc = 100 - 80 = 20 V

Hence, Vr = 80 V and Vc = 20 V

d)Phasor diagram will Have I in X axis and V in Y and angle phi below the horizontal.

Related Questions

Navigate

• Browse (All)
• Browse
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.