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0 votes
2 answers
150 views

Weird looking sine wave behavior in an electric circuit

while studying an RLC circuit I noticed some weird like sine waves at low frequencies (1-9 kHertz) on the inductor, The amplitude behavior did not follow the theoretical model. Instead, suggested the ...
0 votes
1 answer
69 views

How to solve the transient response of a general $RLC$ network?

There is a $RLC$ network $\{V_i\}$ with a complex impedance $Z_{ij}$ on each edge. all vertices have initial voltage $V_i$ and all edges have initial current $I_{ij}$. Now, is there a general way to ...
0 votes
0 answers
35 views

Pulse to sine with the same frequency

I have a pulse signal with frequency f(t) And i want to generate from it a sine signal with frequency f(t) (f(t) doesn't vary a lot in time) Is there a method to do it directly with a function ...
2 votes
1 answer
49 views

How a switching mixer works in this example circuit?

I am reading about lock-in amplifiers and came across this example circuit of a mixer: You have one sinusoidal input signal $e_1$ with a phase $\phi_1$ and the local oscillator has a square-wave ...
0 votes
1 answer
170 views

Does phase of a signal (very low frequency, 0-100Hz) change due to pink noise?

One might experience pink noise when dealing with low frequency signals (0-100Hz). Curious to know whether pink noise has an effect on phase of the signal specially in lowest frequencies 0-10Hz.
14 votes
10 answers
8k views

Why does a capacitor act as a frequency filter?

What is it about a capacitor which allows it to filter frequencies? I understand the construction of a high-pass RC filter, and the mathematics behind it, but I'm struggling to find an explanation of ...
2 votes
1 answer
94 views

Why don't we have heat circuits?

Common circuits use electricity to transmit power and signals. I know we transfer heat power using things like HVAC (heating, ventilation, and air conditioning). I don't know anything that encodes/...
0 votes
3 answers
225 views

Can a resonance plot be upside down, i.e., inverted?

Given the following RLC circuit with an AC driving source, $\hskip3in$ I have found an expression for the amplitude to be $$ I(t) = \left(\frac{V_{0}}{R}\right)\frac{(\omega \tau)}{\sqrt{(\omega\...
0 votes
1 answer
34 views

RLC Bandpass Filter network

Can anybody tell me what the "s" in this equation is? I am looking for the transfer function of this circuit
1 vote
2 answers
539 views

Electrical equivalent of inverted pendulum

Background I am working on a summer project to design labs for undergraduate students. One of the topics is feedback and there is already quite a lot of stuff about passive feedback, so we might add ...
0 votes
1 answer
76 views

Proving a theorem about the average value of a function over a specific region

Let's say transient phenomenon in a function. A transient phenomenon is defined as: "A transient event is a short-lived burst of energy in a system caused by a sudden change of state." So, ...
0 votes
1 answer
185 views

What does the phase discriminator portion of the Costas Receiver do mathematically?

What does the phase discriminator portion of the Costas Receiver do mathematically? The output of the $I$-channel is $ \frac{1}{2}A_C \cos \phi \, m(t) $. Which means for small deviation of phase $ \...
1 vote
1 answer
640 views

Fourier transform of power

In the notes I am reading they use the following. Let $U$ be the voltage (depends on time) and $I$ the current in a circuit with some resistor with resistance $R$. Then the power is given by: $$P(t)=...
2 votes
1 answer
428 views

What exactly happens in a low and a high pass filter?

I know the mathematics and equations behind the circuitry and how they tell us that the resistor blocks high frequency ac signals and allows low frequency ac signals to pass through with undiminished ...
0 votes
1 answer
74 views

Would optical signal processing still suffer from slew rate?

In electronics, analog signal processing/computation suffers from parasitic capacitance which leads to slew rate—which is the maximum change of voltage allowed, so handling super-high frequency ...

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