How to define the step size in plotting some graph in mathematica?

Question

I want to plot some function . The code is given below.

f = 10000000;
v0 = 8.7;
T = 1*(1/f);
v[t] = v0*Sin[2*\[Pi]*f*t];
Plot[%, {t, 0, T} ]

Now the plot will make a plot of my function v[t] from 0 to T. What is the step size in this plotting ? How to change this step size ? What is by default step size? Thanks

Answer 1

You can use Plot with option combination PlotPoints and MaxRecursion (as mentioned by @coolwater in the comments), or DiscretePlot:

ClearAll[v]
ff = 10000000; v0 = 8.7; T = 1*(1/ff);
v[t_] := v0*Sin[2*\[Pi]*ff*t];

plt1 = Plot[v[t], {t, 0, T}, PlotStyle -> Blue];
plt2 = Plot[v[t], {t, 0, T}, PlotPoints -> 10, MaxRecursion -> 0, 
   PlotStyle -> Opacity[1, Red]];
plt3 = DiscretePlot[{v[t], v[t]}, {t, 0, T, T/9},
   PlotStyle -> Directive[Opacity[.5, Orange], Thickness[.01]], 
   Joined -> True, ImageSize -> 400, Filling -> None];

Legended[Show[plt1, plt3, plt2, ImageSize -> 500], 
 LineLegend[{Blue, Red, Orange}, Style[#, 20, "Palette"]&/@ {"Plot[v[t], {t, 0, T}]", 
    "Plot[v[t], {t, 0, T}, \nPlotPoints -> 10, MaxRecursion -> 0]", 
    "DiscretePlot[{v[t], v[t]}, {t, 0, T, T/9}]"}]]