Question

A series ac circuit contains a 350-Ω resistor, a 11.0-mH inductor, a 3.70-μF capacitor, and an ac power source of voltage amplitude 45.0 V operating at an angular frequency of 360 rad/s . What is the power factor of this circuit? Find the average power delivered to the entire circuit. What is the average power delivered to the resistor, to the capacitor, and to the inductor? Enter your answers numerically separated by commas.

Answer #1

**PLEASE LET ME KNOW IF THERE IS ANY MISTAKE OR IF YOU
HAVE ANY DOUBT...................I AM HERE TO HELP YOU......PLEASE
AWLAYS DISCUSS**

X_{c} = 1/wc = 1/360*3.70e-6 = 750.75 ohms

X_{L} = wL = 3.96 ohms

(a) Power factor

cos
= cos (tan^{-1} ( X_{L} - X_{C} / R )

cos = 0.42437

-------------------------------------------------------------------------------------------

I_{rms} = V_{rms} / Z

Z = 824.74 ohms

V_{rms} = V/sqrt(2) = 31.819 V

therefore

I_{rms} = 31.819 V / 824.74 ohms

I_{rms} = 0.038581619 A

P = 0.038581619 A * 31.819*0.42437

P = 0.5209 W

---------------------------------------------------------------------------------------

P_{R} = 0.5209 W

P_{L} = 0

P_{C} = 0

A series RLC circuit contains a 210 Ω resistor, a 17.0 mH
inductor, a 2.70 μF capacitor, and an AC voltage source of
amplitude 45.0 V operating at an angular frequency of 360
rad/s.
(a) What is the power factor of this circuit?
(b) Find the average power delivered to the entire circuit by
the source, in W
(c) What is the average power delivered to the capacitor, in
W?

An L-R-C series circuit consists of a
60.0 Ω resistor, a 16.0 μF capacitor, a 4.00 mH inductor,
and an ac voltage source of voltage amplitude 55.0 V operating at
1500 Hz .
a. Find the current amplitude across the inductor, the resistor,
and the capacitor.
b. Find the voltage amplitudes across the inductor, the
resistor, and the capacitor. Enter your answers numerically
separated by commas. (VL, VR,
VC)
e. Find new current amplitude across the inductor, the resistor,
and...

A 23-Ω resistor, 58-μF capacitor, and 3.5-mH inductor are
connected in series with an AC source of amplitude 12 V and
frequency 120 Hz.
Part (h) With a source voltage of
Vsource = V0
cos(2πft), what is the instantaneous voltage, in volts,
across the capacitor at time t = 2.25 s?
Part (i) What is the amplitude of the voltage
drop across the inductor, in volts?
Part (j) With a source voltage of
Vsource =
V0cos(2πft), what is the instantaneous...

An L-R-C series circuit consists of a
60.0 Ω resistor, a 16.0 μF capacitor, a 4.00 mH inductor,
and an ac voltage source of voltage amplitude 55.0 V operating at
1500 Hz .
The current amplitude across the inductor, the resistor, and the
capacitor is 0.814A...now, double the frequency and...
a. Find new current amplitude across the inductor, the resistor,
and the capacitor.
b. Find new voltage amplitudes across the inductor, the
resistor, and the capacitor.

You have a 199 −Ω−Ω resistor, a 0.405 −H−H inductor, a 5.10 −μF
capacitor, and a variable-frequency ac source with an amplitude of
3.10 VV . You connect all four elements together to form a series
circuit.
-At what frequency will the current in the circuit be
greatest?
-What will be the current amplitude at this frequency?
-What will be the current amplitude at an angular frequency of
401 rad/srad/s ?
-At this frequency, will the source voltage lead or...

A 70 Ω resistor, an 7.0 μF capacitor, and a 34 mH inductor are
connected in series in an ac circuit. -Calculate the impedance for
a source frequency of 300 Hz. -Calculate the impedance for a source
frequency of 30.0 kHz.

A series AC circuit contains a resistor, an inductor of 210 mH,
a capacitor of 5.50 µF, and a source with ΔVmax = 240 V operating
at 50.0 Hz. The maximum current in the circuit is 200 mA. (a)
Calculate the inductive reactance. Ω (b) Calculate the capacitive
reactance. Ω (c) Calculate the impedance. kΩ (d) Calculate the
resistance in the circuit. kΩ (e) Calculate the phase angle between
the current and the source voltage. °

You have a 203 −Ω resistor, a 0.396 −H inductor, a 4.99
−μF capacitor, and a variable-frequency ac source with an
amplitude of 3.00 V . You connect all four elements together to
form a series circuit. What will be the current amplitude at an
angular frequency of 400 rad/s ?

Consider a series RLC circuit with R
= 24 Ω, L = 6.0 mH, and C = 32
μF. The circuit is connected to a 10-V (rms), 600-Hz AC
source.
(a) Is the sum of the voltage drops across R,
L, and C equal to 10 V (rms)?
(b) Which is greatest, the power delivered to the resistor, to the
capacitor, or to the inductor?
(c) Find the average power delivered to the
circuit. W

A 11.0-Ω resistor, 6.00-mH inductor, and 70.0-µF capacitor are
connected in series to a 55.0-V (rms) source having variable
frequency. If the operating frequency is twice the resonance
frequency, find the energy delivered to the circuit during one
period.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 5 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 31 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago