Find the charge on the capacitor in an LRC-series circuit at t =
0.05 s when L = 0.05 h, R = 3 Ω, C = 0.008 f, E(t) = 0 V, q(0) = 4
C, and i(0) = 0 A. (Round your answer to four decimal places.)
C
Determine the first time at which the charge on the capacitor is
equal to zero. (Round your answer to four decimal places.) s
Find the charge on the capacitor in an LRC-series
circuit at
t = 0.04 s
when
L = 0.05 h,
R = 1 Ω,
C = 0.04 f,
E(t) = 0 V,
q(0) = 5 C,
and
i(0) = 0 A.
(Round your answer to four decimal places.)
___________C
Determine the first time at which the charge on the capacitor is
equal to zero. (Round your answer to four decimal places.)
_____________s
Using laplace transformations, find the charge and current of an
LRC circuit in series where L=1/2h, R=10ohm, C=1/50f, E(t)=300V,
q(0)=0C, i(0)=0A. ( Lq'' + Rq' + (1/C)q = E(t) ).
The answer is q(t) = 10 - (10e^-3t)cos(3t) -
(10e^-3t)sin(3t) and i(t) =
(60e^-3t)sin(3t).
3.Consider a series RLC circuit.
a) When the capacitor is charged and the circuit is closed, find
the condition for the current to be oscillatory.
b) When the circuit is connected to an AC source V = ?0 cos??, find
the voltage across the inductor and the
angular frequency at which the voltage across the inductor is
maximized.
Using Laplace transform, find the load and current of the LRC
series circuit where L = 1 / 2h, R = 10ohms, C = 1 / 30f, E (t) =
300V, q (0) = 0C, i (0 ) = 0A
What is the maximum charge on a capacitor in an RC
circuit?
As the capacitor in an RC circuit charged, what is the current
as a function of time?Explain your answer physically.
1.5 V batteries are usually connected in series. Would the
batteries last longer or shorter if they were connected in parallel
instead?
An LC circuit is built with a 10 mH inductor and an 12.0 pF
capacitor. The capacitor voltage has its maximum value of 40 V at
t=0s.
Part A
How long is it until the capacitor is first fully
discharged?
Express your answer with the appropriate units. (t=?)
Part B
What is the inductor current at that time?
Express your answer with the appropriate units.(I=?)
An LC circuit has an inductor with inductance 0.05 H and a
capacitor with capacitance 5 μF. All of the energy is stored in the
capacitor at t=0, and the total charge is 3×10-5 C. (a) What is the
angular frequency of the oscillations in this circuit? (b) Find a
mathematic equation for q(t). (c) What is the maximum current flow
through the circuit? (d) How long does it take the capacitor to
become completely discharged?