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Potential Energy
Physics 12
Potential Energy
In grade 11 physics we looked at
Gravitational Potential Energy
Formula: Eg = mgh
W = Fgd
Work and Energy are measured in Joules
When an object falls, its Eg is converted
from gravitational potential energy to
kinetic energy or work.
Electric Potential Energy
Electrical Potential Energy (EQ) is stored
by doing work against electrostatic force.
This can be done by separating
attractive/unlike charges (as in a battery)
or forcing together like charges (as in a
capacitor).
If you move a charge in an electric field,
you must apply a force. Applying a force
causing displacement means that work is
done. If you do work, then the object
gains energy. Moving a charge is an
example of electric potential energy.
Electric Potential Energy
Note: Eq can be +
or – (depends on
the charge)
** Write on your
formula sheet!
W EQ Fe d
kq1q2
EQ
r
Voltage (V)
The work done per unit charge in
moving a charge between two points
in an electric field
Voltage is a measure of how
electrical potential energy is
delivered
Voltage is also called electrical
potential difference
Voltage
V = W/q or V = Ee/q
Units of V = volts
1 Volt = 1 Joule/Coulomb
Example: Batteries
Batteries achieve separation of
charge in an anode and cathode
separated over a distance.
Batteries are not rated by how much
potential energy they contain but by
how much energy they can deliver as
current flows (voltage)
Example 1
A battery has a potential difference
of 18.0 V. How much work is done
when a 64.0 C charge moves from
the anode to the cathode?
1150J
Example 2
A potential difference of 10V exists
between 2 points, A and B, within an
electric field. What is the magnitude
of charge that requires 2.0 x 10-2 J of
work to move it from A to B?
0.0020 C
Electron volts
One electron-volt (eV) is the energy
needed to move one elementary
charge through a potential difference
of 1V.
1 eV = 1.6 x 10-19 J
Example 3
A charge of 2.0 x 10-3C is moved
through a potential difference of 10
volts in an electric field. How much
work, in eV, was required to move
this charge?
W = 1.25 x 10
17
eV
Try these
1) How much electrical energy is required to
move a 4.0 microCoulomb charge through a
potential difference of 36V?
2) In an electric field, 0.90 J of work is required
to bring 0.45 Coulombs of charge from point A to
point B. What is the electric potential difference
(voltage) between points A and B?
3) A single proton is moved through a potential
difference of 10 volts in an electric field. How
much work, in electronvolts, was required to
move this charge?
HINTS
Remember that work is equal to
change in energy (look on your
formula sheet for formulas for kinetic
energy, gravitational, etc)
Voltaic Cell
One of the silver, zinc and salt water
soaked discs became known as a
voltaic cell
A voltaic cell requires:
• Cathode (positive end)
• Anode (negative end)
• Electrolyte (to allow the movement of
charge)