Can't understand my books diagram?

[Rijad Hadzic]

Homework Statement

This isn't a problem. I need help understanding a diagram and graphs from my book

Homework Equations

The Attempt at a Solution

So I'm given a diagram on an AC circuit and a resistor.

I am then given a graph of the potential of the resistor as a function of time, and then a graph of the current as a function of time.

Why does my book have the amplitude of the current higher than the potential? It makes no sense to me. The only case that the current will be larger than the potential is if 0<R<1 but it doesn't mention the value of R at all.

The section right after this is phasor diagrams and I don't think I will be able to understand this section enough if I am not even able to understand the graphs. Can someone please help me understand this..

 

[Rijad Hadzic]

Apologies I wasn't able to upload the whole thing. This post should have all the graphs.

 

[mjc123]

As the axes have no units, you can't say that the amplitude of the current is higher than that of the potential. Even though the green arrow is longer than the red one, in the absence of a scale this means nothing (because I and V have different units). The graphs are not trying to be quantitative; they are just illustrating the general situation, i.e. that V and I both vary sinusoidally and in phase with each other.

 

[Rijad Hadzic]

As the axes have no units, you can't say that the amplitude of the current is higher than that of the potential. Even though the green arrow is longer than the red one, in the absence of a scale this means nothing (because I and V have different units). The graphs are not trying to be quantitative; they are just illustrating the general situation, i.e. that V and I both vary sinusoidally and in phase with each other.

Damn that makes sense. damn can't believe I couldn't figure that out myself smh man.. thank you though.