Question

An R-C-L circuit (with no driving voltage) contains an inductor of 0.01 H

and a resistor of 100 ?. The oscillation frequency is 1 kHz. Find the general solution

for the charge in the capacitor as a function of time.

Answer #1

A series circuit contains a resistor with R = 24 Ω, an inductor
with L = 1 H, a capacitor with C = 0.002 F, and a 12 volt battery.
Suppose the initial charge and current are both 0.
(a) Find the charge and current at time t and graph them.
(b) The battery is replaced by a generator producing a voltage of
12 sin(10t). Find the charge at time r and graph it.

A series L-C-R circuit contains a 5.00 μF capacitor, a 0.900 H
coil, a 190 Ohms resistor, and a generator producing a maximum
voltage of 30.0 V at an angular frequency of 220 rad/s.
a. Calculate the impedance of the circuit.
b. Calculate the maximum current in the circuit.
c. Calculate the maximum voltage drop across the resistor, the
capacitor, and the inductor.
d. Does the current in this circuit lead the voltage or does the
voltage lead the current?...

In an LRC series circuit, the components have the following
Values: L=0.4 H, C=600 μF, R=200 Ω, V=30 V and frequency 1.5 kHz.
Calculate the impedance of the circuit Calculate the maximum
voltage across the resistor, the inductor and the capacitor

In an L-R-C series circuit, L = 0.391 H ,
R = 310 ? , and C = 5.99×10?8 F . When
the ac source operates at the resonance frequency of the circuit,
the current amplitude is 0.499 A .
What is the voltage amplitude of the source?
What is the amplitude of the voltage across the resistor?
What is the amplitude of the voltage across the inductor?
What is the amplitude of the voltage across the capacitor?
What is...

A resistor R = 4 ohms, a capacitor C = 1F and an inductor L = 4H
are connected in series to an alternating current voltage source V
(t) = 100cos(t) Volts. Determine the charge on the capacitor and
the current on the circuit at the time, if originally the capacitor
is discharged, and the current is 6A.

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.

A
circuit contains a resistor R 10 omega, an inductor L (1.6 mH), and
a capacitor C (5.3 uF), wired in a circuit as shown in the figure.
It is powered by an AC generator with Vrms =12 V and frequency
f=2000Hz. what is the current Irms the generator provide?

An L-R-C circuit has L = 4.5 H, R = 80 Ω, C = 45 μF (μF = 10-6
F) connected in series to the voltage source with an amplitude 45 V
and frequency 50 Hz.
Find the instantaneous values at t = 6 ms (ms = 10-3 s) of the
voltages (in V) across the voltage source v, resistor
vR, inductor vL, and capacitor
vC

An L-R-C series circuit L = 0.123 H ,
R = 242 Ω , and C = 7.32 μF carries an
rms current of 0.445 A with a frequency of 401 Hz .
a. What is the phase angle?
b. What is the power factor for this circuit?
c. What is the impedance of the circuit?
d. What is the rms voltage of the source?
e) What is the average rate at which electrical energy is
converted to thermal energy...

An L-R-C series circuit L = 0.121 H ,
R = 240 Ω , and C = 7.31 μF carries an
rms current of 0.452 A with a frequency of 400 Hz .
A. What is the phase angle
B. What is the power factor for this circuit.
C. What is the impedence of the circuit
D. What is the RMS voltage of the source.
E) What is the average rate at which electrical energy is
converted to thermal energy...

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