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Transcript
Electric Fields and
Potential
Chapter 33
Electric Fields
• Electric Field – a force field that fills the space
around every electric charge or group of
charges. Measured in force per charge (N/C)
• An electrical force holds an electron in orbit
about a proton, just as a gravitational force
holds a satellite in orbit about a planet
• An electric field has both magnitude and
direction
• Its magnitude (strength) can be measured by
its effects on charges located in the field
• If the charge that sets up the field is positive,
the field points away from that charge
• If the charge that sets up the field is negative,
the field points toward that charge
Electric Field Lines
• Since an electric field has both magnitude
and direction, it is a vector quantity and can
be represented by vectors
• The vectors always point in the direction of
the force that would act on a positive test
charge
• The magnitude of the field is indicated by
the length of the vectors
• A useful way of describing an electric field is
with electric field lines (or lines of force);
where the lines are farther apart, the field is
weaker
Electric Shielding
• The absence of electric field within a
conductor holding static charge comes
about because free electrons within the
conductor can “settle down” and stop
moving only when the electric field is zero
• The charges arrange themselves to ensure
a zero field within the material
• So, to shield yourself from electric fields,
surround yourself with a conducting
surface; the free charges in the conducting
surface will arrange themselves in a way
such that the field will cancel out
Electric Fields and
Conductors
Electric Potential Energy
• Remember that an object has potential energy
by virtue of its location within a force field (say a
gravitational field)
• A charged object can have potential energy by
virtue of its location in an electric field
• Work is required to push a charged particle
against the electric field of a charged body
• The electric potential energy of a charged
particle is increased when work is done to push it
against the electric field of something else that is
charged
• The work is equal the energy gained by a charge
• Electrical Potential Energy – the energy a
charge has due to its location in an electric field
Electric Potential
• Electric Potential – the electrical
potential energy per coulomb (J/C) at a
location in an electric field; measured in
volts and often called voltage
Electric potential = electrical potential
energy/charge
• We can speak about the voltages at
different locations in an electric field
whether or not any charges occupy those
locations
• A high voltage requires great energy only
if a great amount of charge is involved
Electric Potential
Electrical Energy Storage
• Capacitor – a device used to store charge in a circuit
• The simplest capacitor is a pair of conducting plates
separated by a small distance, but not touching each
other
• When the plates are connected to a charging device,
charge is transferred from one plate to the other
• The charging process is complete when the potential
difference between the plates equals the potential
difference between the battery terminals—the battery
voltage
• A charged capacitor is discharged when a conducting
path is provided between the plates
• The energy stored in a capacitor comes from the work
required to charge it (in the form of an electric field
between the plates)
Capacitor
The Van de Graff Generator
• A common laboratory device for building up
high voltages is the Van de Graff generator
• It is the lightning machine you often see in
movies for mad scientists
• A sphere with a radius of 1 m can be raised to
a potential of 3 million volts before electric
discharge occurs through the air
• The voltage can be further increased by
increasing the radius of the sphere or by
placing the entire system in a container filled
with high-pressure gas
• These devices accelerate charged particles
used as projectiles for penetrating the nuclei of
atoms
Van de Graff Generator
Assignment
• Read Chapter 33 (pg. 517-528)
• Do #21-32 (pg. 530)
• Appendix F, Ch. 33 #1-15 (pg. 687-688)