Electrostatics

The Electric Potential and The Electric Potential Energy

 Electrostatics

V

influence at some location in space

interaction between charges

U
\ U = q_0\ V\
\ V = U/q_0\ \

      The Electric Potential

           Relationship to the Electric Potential Energy

Electric 

Potential

Electric 

Potential

Energy

 Electrostatics

      The Electric Potential

           Relationship to the Electric Potential Energy

\text{P$_1$}
\text{P$_2$}

When a mass m is displaced between locations P1 to P2

\text{($m$ @ $P_1$)$\rightarrow$ ($m$ @ $P_2$)}
= m\ (gy{_2}-gy{_1})

The mass of the object being displaced

The difference between the gravitational potential at the two points due to Earth

 Gravity analogy

\Delta U_g

The change in the Gravitational Potential Energy is given by:

= mgy{_2}-mgy{_1}

 Electrostatics

      The Electric Potential

            relationship to the Electric Potential Energy

q_0\ (V_{@P_2}-V_{@P_1})
\Delta U_\text{($q_0$ @ $P_1$)$\rightarrow$ ($q_0$ @ $P_2$)}=

The change in the Electric Potential Energy as some charge \(q_0\) is transferred from point \(P_1\) to point \(P_2\)

The amount of net charge being transferred

The Electric Potential Difference between points \(P_1\) and \(P_2\)

SI units: Substituting for

the charge in Coulombs, and

the Electric Potential in Volts,

results in the Energy in Joules

Electric Potential and Electric Potential Energy

By drmoussaphysics

Electric Potential and Electric Potential Energy

The relationship between the electrostatic potential and the electrostatic potential energy

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