a series AC circuit contains a 50 ohms resistor, a 0.3 H inductot, a 30 uF capac

Question

a series AC circuit contains a 50 ohms resistor, a 0.3 H inductot, a 30 uF capacitor, and a 60 Hz generator with a 100 V output. Find the power and the power factor of the circuit a series AC circuit contains a 50 ohms resistor, a 0.3 H inductot, a 30 uF capacitor, and a 60 Hz generator with a 100 V output. Find the power and the power factor of the circuit a series AC circuit contains a 50 ohms resistor, a 0.3 H inductot, a 30 uF capacitor, and a 60 Hz generator with a 100 V output. Find the power and the power factor of the circuit

Explanation / Answer

R = 50 ohm , C =30 uF, L =0.3 H , f =60 Hz

V =100 V

inductor reactance XL =wL =2*3.14*60*0.3 =113.04 ohm

capacitor reactance XC =1/wC = 1/(2*3.14*60*30*10^-6) =88.46 ohm

impedence Z = (50^2 +(113.04-88.46)^2)^0.5 =55.7 ohm

cos(phi) = R/Z = 50/55.7

P = (V^2/Z)cos(phi)= (100*100/55.7 )(50/55.7)

Power P = 161.16 W

power factor cos(phi) = 0.898

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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