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