1.Two identical capacitors are connected in parallel to an ac generator that has

Question

1.Two identical capacitors are connected in parallel to an ac generator that has a frequency of 690 Hz and produces a voltage of 24 V. The current in the circuit is 0.6 A. What is the capacitance of each capacitor?

2.An ac series circuit has an impedance of 114 , and the phase angle between the current and the voltage of the generator is = -77 . The circuit contains a resistor and either a capacitor or an inductor. Find (a) the resistance R and (b) the capacitive reactance XC or the inductive reactance XL, whichever is appropriate.

-I found the resistance, it is 25.64 Ohm

3.A series RCL circuit has a resonant frequency of 620 kHz. If the value of the capacitance is 1.8 x 10-9 F, what is the value of the inductance? Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise.

Explanation / Answer

given,

frequency = 690 Hz

voltage = 24 V

current = 0.6 A

The reactance is Xc = V/I

Xc = 24 / 0.6

Xc = 40 ohms

Capacitive Reactance Xc = 1/(2fC)
1/(2fC) = 40

C = 1 / (40•2f)

C = 5.76648 uF

that is for both capacitors

Each one is half, so,

capacitance of each capacitor = 2.88324 µF

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

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