Question

Suppose we have a RLC circuit with an inductor of L = 1, a resistor of R = 5, a capacitor of C = 1 6 , and an EMF given by E = 3 sin(2t). Suppose the current initially has a value of I = 0, with a derivative I 0 = 0. Find a function that represents current as a function of time.

Answer #1

An over-damped parallel RLC circuit is constructed with a 20 H
inductor, a 1 ohm resistor, and a 4 F capacitor. If the capacitor
has an initial voltage of Vc(0+)=0V and the inductor has an initial
current of Ic(0+)=8A. Determine the current through the inductor as
a function of time.

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 RLC circuit consists of a 40.0 Ω resistor, a
2.70 mH inductor, and a 410 nF capacitor. It is connected to a 3.0
kHz oscillator with a peak voltage of 6.00 V.
A. What is the instantaneous emf when i =I?
B. What is the instantaneous emf when i =0 A and is
decreasing?
C. What is the instantaneous emf when i =−I?

consider a series RLC circuit with a resistor E = 43.0 ohm, an
inductor L = 15.5 mH, a capacitor C = 0.0545 micro farads and an AC
source that provides an RMS voltage of 0.301 V at 16.2 kHz
what is the impedance of the circuit in ohms

2)In an RLC circuit, ?=10Ω,?=0.5??, and ?=6.0??, the currentin
the inductoris ??=12?sin(??+0.2). The circuit operates at half of
the resonance frequency. a)Find the current in the resistor,
capacitor and for the entire circuit. b)Find the voltage in the
resistor, capacitor, and inductor. c)Find the emf of the AC
source.

A series RLC circuit consists of a 50Ω resistor, a 3.3
mH inductor, and a 480 nF capacitor. It is connected to a 5.0 kHz
oscillator with a peak voltage of 5.0 V.
Part A
What is the instantaneous current i when E = E 0?
Part B
What is the instantaneous current i when E =0V and is
decreasing?

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.

In an oscillating series RLC circuit, with a 5.79 ?
resistor and a 17.3 H inductor, find the time required for the
maximum energy present in the capacitor during an oscillation to
fall to half of its initial value.

Modell and solve the RLC series circuit of resistor(R) of 10
ohms, inductor (L) of Henry and capacitance of 10 micro-farad are
attached

[Series circuit analogue: RLC circuit with nonzero resistance R
and nonzero voltage E(t) as forcing function is analogous to a
forced damped spring/mass system.] Consider the RLC circuit with
inductance L = 8 henrys, resistance R = 16 ohms, capacitance C =
0.025 farads, and voltage E(t) = 17 cos 2t volts.
(a) Find the current in the circuit for t > 0, given that at
time t = 0 the capacitor is uncharged and there is no current
flowing....

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