This video and the interactive demo are great. I've seen various expressions of sinusoidal waves, many using different variables to represent the value of the wave, e.g. V = A sin (2πft + φ), () = (2π + φ) , and v(t)=A sin(2πft+φ) to mention a few. What do V, y(t), and v(t) represent and is there a difference when using them in this expression? Thank you!
V, y(t), and v(t) are all just a variable used to store the output of the equation, like y = 2x+4 or f(x) = 2x + 4. The variable y is often used when plotting on a graph as we're used to using an x-axis and a y-axis in mathematics. Electrical engineers often use the variable v rather than y because they're using it to represent a voltage signal. I'm an electrical engineer so that's why I'll use it frequently. The reason why you would see y(t) or v(t) is to highlight that the output variable is a function of time t (in other words the output of the equation is dependent on the variable t). This is similar to why you'll often see an equation f(x) = 2x + 4 in mathematics i.e. it highlights that the value of f is a function of x (in other words the value of f(x) depends on what the variable x is)
@@ddorran Thank you for that explanation! It makes perfect sense. I had thought it may be something to this effect but I had not been able to find a straightforward answer. I appreciate you taking the time to answer my question!
Thanks man, i needed this before signals and systems unit
thank you so much.
Very helpful, thanks!
This video and the interactive demo are great. I've seen various expressions of sinusoidal waves, many using different variables to represent the value of the wave, e.g. V = A sin (2πft + φ), () = (2π + φ) , and v(t)=A sin(2πft+φ) to mention a few. What do V, y(t), and v(t) represent and is there a difference when using them in this expression? Thank you!
V, y(t), and v(t) are all just a variable used to store the output of the equation, like y = 2x+4 or f(x) = 2x + 4.
The variable y is often used when plotting on a graph as we're used to using an x-axis and a y-axis in mathematics.
Electrical engineers often use the variable v rather than y because they're using it to represent a voltage signal. I'm an electrical engineer so that's why I'll use it frequently.
The reason why you would see y(t) or v(t) is to highlight that the output variable is a function of time t (in other words the output of the equation is dependent on the variable t). This is similar to why you'll often see an equation f(x) = 2x + 4 in mathematics i.e. it highlights that the value of f is a function of x (in other words the value of f(x) depends on what the variable x is)
@@ddorran Thank you for that explanation! It makes perfect sense. I had thought it may be something to this effect but I had not been able to find a straightforward answer. I appreciate you taking the time to answer my question!