Questions tagged [sinusoidal]
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43 questions
2 votes
2 answers
138 views
How the derivative of voltage (v = Vₘ sin(ωt + φ)) becomes jωV in phasor domain?
I'm reading sinusoid, and I don't understand where does the Euler's "e" go while transforming it from time domain to phasor domain. How do we get equation (9.27) from equation (9.26) below? (...
1 vote
1 answer
117 views
How to prove the sinusoidal response to \$\sin\omega t\$ is the imaginary part of the response to \$e^{j \omega t}\$? [closed]
In solving the sinusoidal response of a system to a sine input \$x(t)=\sin\omega t\$ or cosine input \$x(t)=\cos\omega t\$, it is more convenient to compute with Euler's formula \$x(t)=e^{j\omega t}=\...
- 131
0 votes
1 answer
120 views
Oscilloscope Low Sampling at uHz Sinus Signal
I tried to measure a sinus signal at 1000 µHz with my R&S RTC1000 oscilloscope (bandwith 300 MHz). The function generator that I used was the EDU33212A. I set the T/div=100s and the oscilloscope ...
- 853
0 votes
3 answers
247 views
Finding the natural frequency from the transfer function magnitude
Studying Steady Sinusoidal State circuits and I have a question regarding RLC circuit. Given that the transfer function for the voltage across the capacitor is given by - $$ H(j\omega) = \frac{1}{R+j\...
- 61
2 votes
2 answers
307 views
Graph plot of sinusoidal current/voltage vs displacement of speaker membrane from its resting position
For a very long time I believed that the speaker membrane just moves according to the amplitude of a electrical signal fed to it. Like, If at any instant, the current/voltage is at c% (0 <= c <= ...
- 155
-1 votes
1 answer
88 views
Is it possible to write a sinusoidal steady state response of a RC circuit with diode involved?
Let's consider this circuit. When everything is ideal and the forward voltage of the diode is 0. When the current is going forward, the time constant is R1*C. When reversed, it is (R1//R2)*C. Is it ...
- 11
1 vote
1 answer
98 views
Diode directed into the negative terminal of a sinusoidal voltage source
If my V_in is a sinusoidal voltage, what would be the V_out? I tried to plot this in ltspice, however, I ran into trouble on where to connect the ground, on what node should I use to extract V_in and ...
0 votes
2 answers
147 views
What is the negative omega squared in this function?
I'm trying to draw a Bode plot for the transfer function, but I am confused on what the negative omega squared is supposed to be. Is it supposed to be the frequency with no phase angle? How can I get ...
0 votes
1 answer
112 views
Why do resistances disappear when studying variations of the voltage Va?
I'm trying to solve the question 2.2 of this sensor conditioning exercise. In the solution of the exercise, when trying to find Δ va, the teacher made the resistors R, and the continuous voltage ...
- 11
0 votes
1 answer
169 views
When can we apply phasor analysis to an \$RLC\$ circuit?
This answer of mine shows that not every \$RLC\$ circuit reaches sinusoidal steady state at input frequency. A well-known theorem states that: If all natural frequencies of a uniquely solvable LTI ...
- 163
1 vote
2 answers
210 views
Why is there a DC component in the output spectrum from an op-amp adder?
I'm experimenting with a DSB-SC circuit using TINA simulation tool. As input I'm using two sinusoids with frequencies of 500 and 1000 Hz, i.e. 0.05sin(2π500t) and 0.1sin(2π1000t) which are guided into ...
0 votes
2 answers
244 views
Sinusoid Amplitude for an Ultrasonic Transducer
I want to design a driver for PKT40A from ThorLabs. The spec sheet indicates "Power (Typical, Instantaneous @ 3 kV)" of 700W, but the "Impedance at Resonant Frequency" of <12 ...
- 267
4 votes
1 answer
183 views
A question about the validity of impedance rules
Let’s consider an RLC circuit connected with a sinusoidal source, my goal is to find the current \$I(t)\$, this is done by solving the following differential equation: \$ \frac{{d^2I}}{{dt^2}} + \frac{...
- 41
0 votes
2 answers
794 views
How can I find the steady state of current I with sinusoidal voltage source?
I am reading the book Electric Circuits 10th Edition from Nilsson and Riedel. In page 321 has a problem that seems easy but I find a difficulty to solve it.The problem states: A 90 ohm resistor, a 32 ...
2 votes
2 answers
2k views
How to calculate the average voltage and VRMS of a non sinusoidal waveform [duplicate]
I need to calculate the average voltage and VRMS of this. It's given that Vp=41V, Vn=-6V and T=13ms. I know the answer for the average voltage is 12.8V, but I can't find the formula that gets this ...
- 33