Question
In: Math
An RLC circuit is made up of a resistor R = 12Ω , a capacitor C...
An RLC circuit is made up of a resistor R = 12Ω , a capacitor C
= 0.1 F and an inductor L = 2 H. A voltage source is connected that
supplies 110 V. If initially the capacitor is
discharged and no current flows through the circuit, find an
expression for the charge at all times t.
differential equations
Solutions
milcah answered 2 years agoRelated Solutions
An RLC circuit consists of a resistor R = 12 LaTeX: \ OmegaΩ, a capacitor C...
An RLC circuit consists of a resistor R = 12 LaTeX: \ OmegaΩ, a
capacitor C = 0.1 F and an inductor L = 2 H. A voltage source is
connected that supplies 110 V. If initially the capacitor is
discharged and no current flows through the circuit, find an
expression for the charge at all times t.
A circuit is consisted of an inductor L, a capacitor C, and a resistor R. It...
A circuit is consisted of an inductor L, a capacitor C, and a
resistor R. It is driven by an AC voltage of the form ?0sin (??).
At the steady state, find (a) the charge and current as a function
of time (b) the maximum amplitude of the current and the
corresponding resonance frequency (c) the average power at the
current’s resonance frequency (c) the quality factor Q
Driven RC circuit in parallel. A capacitor C is connected in parallel to a resistor R...
Driven RC circuit in parallel. A capacitor C is connected in
parallel to a resistor R and an AC source providing a voltage v(t)
= V sin(ωt).
(a) Make a phasor diagram at time t showing all relevant based
on Kirchhoff’s rules.
(b) Find the impedance of this circuit and make a plot of Z vs.
ω.
(c) What are the small and large frequency behaviors of the peak
capacitor and resistor currents?
(d) What is the phase difference between...
An RLC series circuit has a 2.60 ? resistor, a 200 µH inductor, and a 78.0 µF capacitor.
An RLC series circuit has a 2.60 ? resistor, a 200 µH inductor, and a 78.0 µF capacitor.
(a) Find the circuit's impedance (in ?) at 120 Hz.
(b) Find the circuit's impedance (in ?) at 5.00 kHz.
(c) If the voltage source has Vrms = 5.60 V, what is Irms (in A) at each frequency?
Irms, 120 Hz =_____ A
Irms, 5.00 kHz =_____A
(d) What is the resonant frequency (in kHz) of the circuit?
(e) What is...
n a series LRC circuit with a resistor of (R= 179 ohms) and a capacitor of...
n a series LRC circuit with a resistor of (R= 179 ohms) and a
capacitor of (C= 92 uF) and an Inductor of ( L= 7 mH) . If the
circuit is driven by an AC voltage of 144 volts , at 96 Hz , what
is the current in the circuit in Amps?
An L-R-C series circuit consists of a 60.0 Ω resistor, a 10.0 μF capacitor, a 3.60...
An L-R-C series circuit consists of a
60.0 Ω resistor, a 10.0 μF capacitor, a 3.60 mH inductor,
and an ac voltage source of voltage amplitude 60.0 V operating at
1450 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.
c.) Why can the voltage amplitudes add up to more than
60.0 V ?
d.) If the frequency is now doubled,...
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor....
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF
capacitor, and a 1.00-H inductor. The circuit is driven by a power
source that oscillates at 20.0 Hz and has an ε_rms value of 90.0 V
. The power source is switched on at t = 0 and at that instant the
emf is at its maximum value.
A) Calculate the power supplied at t = 0.0200 s.
B) Calculate the power supplied at t = 0.0375 s.
C)...
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor....
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF
capacitor, and a 1.00-H inductor. The circuit is driven by a power
source that oscillates at 20.0 Hz and has an Erms value of 30.0 V .
The power source is switched on at t = 0 and at that instant the
emf is at its maximum value.
Part A Calculate the power supplied at t = 0.0200 s.
Part B Calculate the power supplied at t = 0.0375...
A resistor of resistance R and a capacitor of capacitance C are connected in series to...
A resistor of resistance R and a capacitor of capacitance C are
connected in series to an EMF of voltage E. A switch is set to the
open position and the capacitor is initially uncharged. The switch
is then closed. Show that when the capacitor charges that half of
the energy drawn from the EMF is dissipated in the resistor and
that half of the energy is stored in the capacitor.
An RLC circuit with R = 23.8 Ω , L = 327 mH , and C...
An RLC circuit with R = 23.8
Ω , L = 327 mH , and C = 45.7 μF is
connected to an ac generator with an rms voltage of 25 V
A: Determine the average power delivered to this circuit when
the frequency of the generator is equal to the resonance
frequency.
B: Determine the average power delivered to this circuit when
the frequency of the generator is twice the resonance frequency
C: Determine the average power delivered to...
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