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

AI Thread Summary
To approach potential energy and electric fields, start by understanding the relationship between the potential function V and the force vector f(x,y). The equation f(x,y) = (∂V/∂x, ∂V/∂y) indicates that the force can be derived from the potential energy function. Integration of the force components can yield the potential function V, but clarity on the definition of f(x,y) is crucial. After finding V, differentiation is necessary to verify the relationship between the potential and force. This process emphasizes the importance of correctly defining functions and understanding their interrelations in physics.
notojosh
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I've no idea where I need to start. please help me!
 

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

Josh
 
notojosh said:
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!
 
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? ...
 
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