You have a circuit consisting of a resistance R = 447 ohm and a capacitor C = 0.

Question

You have a circuit consisting of a resistance R = 447 ohm and a capacitor C = 0.476 muF being driven by a sinusoidal EMF with an rms voltage of 17.9 What is the rms current in this circuit at a driving frequency of 352 Hz? Submit Answer Tries 0/15 What is the rms voltage across the capacitor at 352 Hz? Submit Answer Tries 0/15 What is the rms current in this circuit at a driving frequency of 1332 Hz? Submit Answer Tries 0/15 What is the rms voltage across the capacitor at 1332 Hz? What is the rms voltage across the resistor at 1332 Hz?? Submit Answer Tries 0/15

Explanation / Answer

given,

R = 447 ohm

C = 0.476 uF

V = 17.9 Volt

Xc = -1 / (2 * pi * frequency * C)

Xc = -1 / (2 * pi * 352 * 0.476 * 10^-6)

Xc = 949.884 ohm

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

current = voltage / |Z|

current = 17.9 / sqrt(447^2 + 949.884^2)

rms current at 352 Hz = 0.01705 A

voltage across capacitor = 949.884 * 0.01705

voltage across capacitor = 16.1955 V

when frequency is 1332 Hz then

Xc = -1 / (2 * pi * 1332 * 0.476 * 10^-6)

Xc = 251.02 ohm

current = 17.9 / sqrt(447^2 + 251.02^2)

current = 0.0349 A

voltage across capacitor = 251.02 * 0.0349

voltage across capacitor = 8.76 V

voltage across resistance = 447 * 0.0349

voltage across resistance = 15.6 V

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

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