Let the Fourier Series of the voltage source be
Where , and
Find the series for the capacitor voltage, .
Let the Fourier Series of the voltage source be Where , and Find the series for the capacitor voltage, . A Asin(nwo...
The following circuit consists of linear time invariant
components where R1 = 2,
R2 = 3,
C = 0.25F, and L = 1H. Let vs be the input voltage.
(a) Solve the differential equation that describes
vc(t). Hint: First, find the current
going through the parallel branch of R1–C. Then, write
the Kirchoff's Voltage Law for the main loop.
(b) Find vc(t) given that vs(t) = 2.5 V at
t = 0. Assume that vc(0-) = 1V and
iL(0-) =...
Considering an RCL circuit where an inductor L = 1/2 H, a
resistance R = 6Ω, a capacitor C = 1/50 F and a source of e(t) = 24
sin (10t) volts are connected in series. At t = 0, the switch is
closed and the current starts to flow. Considering that the
capacitor has an initial voltage of 5 volts, thus,Vc (0)
= 5 V and V'c (0) = 0.
While using the general form of the equation of...
For the following circuit:
At t=0 the voltage drop on the capacitor is and
points s and 1 are connected.
1) Which of the following statement describe what will happen in
the circuit ? (select one)
a. The capacitor will be charged to a final voltage of , with I
being the current in the circuit
b. The capacitor will disconnect the circuit so no current will
exist
c. The voltage will oscillate at an angular frequency of
d. The...
Consider the series RLC circuit in Figure 1. Suppose the source voltage is initially OV, and no energy is stored in both the capacitor and inductor. At t = 0, the source voltage is switched to 1V. Calculate the resistor, inductor and capacitor voltages, and the loop current V (t),,(t),Vc(t),i(t). Show all the steps. C1 L1 1.2u 8.2m 10 3 R1 Figure 1: A series RLC circuit
2) let a) Find the third order Fourier approximation. b) graph f(x) and part a together on . f(r) T We were unable to transcribe this image f(r) T
10. A resistor and capacitor are connected in series to a voltage source. At time t = 0 the capacitor begins charging, and the charge on the capacitor is Qc. The graph below depicts Qc vs t. The slope of the graph represents: Qс CV a) The total charge on the capacitor b) The potential energy stored in the capacitor c) The equivalent resistance of the circuit d) The instantaneous voltage across the capacitor e) The instantaneous current through the...
Let be independent random variables, where ~, Find a sufficient statistic for . We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Let be independent random variables, where ~, . Find a sufficient statistics for . We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageuni form(i) We were unable to transcribe this imageWe were unable to transcribe this image
3. Let ,..., be
independent random sample from N(),
where is unknown.
(i) Find a sufficient statistic of .
(ii) Find the MLE of .
(iii) Find a pivotal quantity and use it to construct a
100(1–)% confidence
interval for .
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1. A resistor R and capacitor care connected in series with an AC voltage source with frequency f and maximum voltage Vo. a. Find the complex impedance (in the form Z = R + jX). If the impedance is written in polar form (Z = Zejº), find expressions for Z and Ⓡ. Write your answers in terms of the variables R, C, and o(= 21f). b. If the voltage source is described by the phasor V = V, ejwt, and...