How Do I Approach Potential Energy and Electric Fields in Physics?

[notojosh]

I've no idea where I need to start. please help me!

 

[Andrew Mason]

Since:

$$f(x,y) = (\frac{\partial V}{\partial x}, \frac{\partial V}{\partial y})$$

then:

$$dV = dV_x + dV_y = f(x,y) dx + f(x,y) dy$$

Can you integrate to find V?

AM

 

[notojosh]

I don't know because f(x,y) is not defined. Can you give me more tips?

Josh

 

[Pyrrhus]

I don't know because f(x,y) is not defined. Can you give me more tips?

Josh

It is not defined? look at your own picture!

 

[notojosh]

oops... Ok

I found out V=-tan^(-1)(x/y)+tan^(-1)(y/x)+C where C is arbirary constants.. And..
now what? should I take a differentiate V as the upper equation says so is that basically asking two equations are commute? ...