A sine wave or sinusoid is a mathematical curve that describes a smooth periodic oscillation. A sine wave is a continuous wave. It is named after the function sine, of which it is the graph. It occurs often in both pure and applied mathematics, as well as physics, engineering, signal processing and many other fields. Its most basic form as a function of time (t) is:
where:
A, amplitude, the peak deviation of the function from zero.
f, ordinary frequency, the number of oscillations (cycles) that occur each second of time.
ω = 2πf, angular frequency, the rate of change of the function argument in units of radians per second
φ
{\displaystyle \varphi }
, phase, specifies (in radians) where in its cycle the oscillation is at t = 0. When
φ
{\displaystyle \varphi }
is non-zero, the entire waveform appears to be shifted in time by the amount φ/ω seconds. A negative value represents a delay, and a positive value represents an advance.
The sine wave is important in physics because it retains its wave shape when added to another sine wave of the same frequency and arbitrary phase and magnitude. It is the only periodic waveform that has this property. This property leads to its importance in Fourier analysis and makes it acoustically unique.
Does anybody know what the pdf of a sine wave cycle is? Or perhaps how to derive it? The problem can be done numerically, but surely there is an analytic expression for this function? There is a numerical solution available at...
Hello All:
A project of mine requires a bi-directional inverter that will take a 12VDC (most likely) battery to single phase 120VAC pure sine wave for utility tie (mains power). I will also require the inverter to be able to rectify to utility's power to charge the battery as well.
Since...
Homework Statement
Determine the RMS value of fullwave rectified sine wave.Homework Equations
RMS = \sqrt{({1}/{b-a})\int^{b}_{a}[(fx)]^{2}dx}
The Attempt at a Solution
Notes: The Period of a full wave rectified sine wave is pi.
a=0
b=pi
Let's do square root at the end.
=1/pi...
I have a question that says: prepare a table of values and plot the graph for the domain (-pie,pie) for the function f(x)=2sin(2x)
I understand how to do that for y=sinx, but for this function the wave compresses horizontally and stretches vertically so isn't the domain now (-pie/2,pie/2) and...
I have a question that says: prepare a table of values and plot the graph for the domain (-pie,pie) for the function f(x)=2sin(2x)
I understand how to do that for y=sinx, but for this function the wave compresses horizontally and stretches vertically so isn't the domain now (-pie/2,pie/2) and...
So I was having a conversation with the guy I share an office with and I brought up the gaussian distribution to show the probability distribution of energies of electrons generated by a filament. He mentioned that it 'looks like a sine wave', and I said 'sorta, but it's not a sine wave'. He...
Trying to create a sine wave. Any oscillator or chips that do it? Looking at 100kHz. Seems like most of the oscillators i find put out 0~3.3/5V square wave.
But i am m looking for -2.5~2.5V 100kHz sine wave output.
I would think the chips create the square wave by taking the sine wave and...
Does anyone remember the formula for the rise/fall time for a sine wave...?
I thought I could calculate it but I did it wrong apparently
t1.
V_o sin(2*\pi*f*t)=.1 V_o
\frac{arcsin(.1)}{2 \pi f}
t2.
V_o sin(2*\pi*f*t)=.9 V_o
\frac{arcsin(.9)}{2 \pi f}
t2-t1...
but that isn't right
Hello,
What is the formula to calculate the power (W) of a sine wave electrical signal traveling through a wire if I know the frequency, voltage, and current?
Thanks,
Jason O
How do I construct a circuit that will limit the positive half of a 20V peak-to-peak sine wave to 5.6V and the negative half to -2.5V?
So far, I have a 1 k ohm resistor and the diode is forward biased leading to VL and Vout.
Dear All,
I have an apparatus that produces a graph of results that looks to me like a sine wave (a half wave plate affecting the power throughput of a laser; it goes from maximum to minimum 4x throughout its 360º rotation). My problem is that I need to define this line as a formula but have...
Hi,
This maths stuff is tstarting to hurt my head! :p Ok, I want to use a sine wave to make objects appear at an increasing rate and then a decreasing rate. e.g. where:
y=sin(x)
y = interval before next object appears
so in Maple that'd be:
plot(sin(x)+1,x=Pi/2..Pi+(Pi/2));
Now I...
Perhaps this has already been brought up, but is an electromagnetic wave 2-dimensional or 3-dimensional?
The current "up-and-down" concept does not have me convinced. If you look at a standard spring, you can see that it is a spiral/helix. You can also see that the side of the spring...
Hi.
I want some information about how to make this. But that's not the prob. the prob. is that you can only use: Diodes (Normal & zener), capacitors, inductors & resistors, U can not use complex devices. If U know something, please reply this message.
Thanks.
Ingyil.
Colombia, S.A.
i was given this circuit diagram by one of my instructors this past winter (summer for you americans) so.. i tried 2 build it.
three times i tried, it didnt work. twice on a copper board, once on a projectboard.
the instructor & i checked them each over numerous times... he even tried to...