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Electrostatics, Circuits, and Magnetism 4/29/2008
AP Phys B Test Review Electrostatics, Circuits, and Magnetism 4/29/2008
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Overview Electrostatics Electric Potential Dielectrics and Capacitance
Electric Current DC Circuits Magnetism
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Electrostatics Charge is carried by subatomic particles (protons, electrons) 99% of all charged effects caused by electron transfer Charging by Conduction Physical contact Charging by Induction No physical contact
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Coulomb’s Law This law determines the force of attraction or repulsion between 2 charged objects e0 is a constant – permittivity of free space Positive force = repulsive, negative force = attractive Remember: force is a vector!
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Electric field lines A visual representation of an electric field.
More lines = stringer force Point away from positive, toward negative.
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Electric Fields and conductors
The electric field inside any conductor is zero The electric field is always perpendicular to the surface of a conductor
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Gauss’ Law Electric Flux: The amount of an electric field passing through an area Gauss’ Law: The total electric flux passing through a closed surface is proportional to the charged enclosed in that surface.
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Electric Potential Energy
Electric Potential energy can be determined using mechanics Electric potential is defined as the electric potential energy per unit charge
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Equipotential lines or surfaces
An equipotential surface is a surface over which all points have the same potential. An equipotential surface must be perpendicular to the electric field!
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Potential due to a point charge
Remember: potential is a scalar!
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Capacitance A capacitor is a device that stores electric charge.
The capacitance of an object is defined as: Capacitance is measured in farads.
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Parallel plate capacitors and dielectrics
For a parallel plate capacitor (two conducting plates with a vacuum between the plates) Often, an insulator known as a dielectric is placed between the plates to enhance capacitance Dielectric constant: measures the strength of the dielectric
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Capacitors and energy A charged capacitor stores an amount of electric energy given by This energy can be thought of as stored in the electric field between the plates.
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Electric Current Electric current is defined as the amount of charge that flows past a given point in a second
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Ohm’s Law Ohm’s Law related the resistance of an object to the decrease in electric potential across a point and the current flowing through that point.
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Electric Resistance Electric resistance is the innate ability of a material to inhibit the passage of electrons. Measured in ohms. Given by the resistivity as well as the geometry of the object.
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Circuits – emf and terminal voltage
A device that transforms one type of energy into electrical energy is a “source of electromotive force” emf: the potential difference between the terminals of a battery when there is no current flowing to an external source. A battery has some internal resistance The real voltage of a battery is then
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Resistors in series Voltage and resistance are additive
Current is constant everywhere in a series circuit
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Resistors in parallel Current additive
Voltage is constant everywhere in a series circuit More resistors = smaller equivalent resistance
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Complex Circuits
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Kirchhoff’s rules Junction rule: At any junction point, the total current into the junction has to be equal to the total current out of the junction. Loop rule: The sum of changes in potential around and closed loop is zero.
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Kirchhoff’s Rules
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Magnetism Every magnet has two poles: north and south
Magnetic field & magnetic field lines: analogous to electric field Direction: points north to south Electric current (moving charge) produces a magnetic field!
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Force due to magnetic fields
The force on a charged particle moving through a magnetic field The force in a current carrying wire immersed in a magnetic field
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Right hand rule
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Ampere’s Law A moving charge (current) creates a magnetic field.
For a long wire, Dl = 2pr Two wires can attract or repel due to this effect. A solenoid is a long coil of wire.
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Faraday’s Law A changing magnetic field induced an emf.
A current produced by an induced emf moves in a direction such that its magnetic field opposes the original change in flux (Lenz’s Law) A coil rotating in a magnetic field is a good example of this.
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