Circuits in which the direction of the current does not change with time
Direct-current circuits
Flashlights
Automobile wiring systems
Alternating current (ac)
Current that oscillates back and forth
Resistors in series
Connected one after the other so the current is the same in all of them
Resistors in parallel
Current through each resistor need not be the same, but the potential difference between the terminals of each resistor must be the same, and equal to Vab
Junction
A point where three or more conductors meet
Loop
Any closed conducting path
Loop rule
A statement that the electrostatic force is conservative
Galvanometer
Measures the current that passes through it
Ammeter
Measures the current passing through it
Voltmeter
Measures the potential difference between two points
Ohmmeter
Consists of a meter, a resistor, and a source (often a flashlight battery) connected in series
Digital multimeter
Can measure voltage, current, or resistance over a wide range
Potentiometer
An instrument that can be used to measure the emf of a source without drawing any current from the source
Magnetism
Interaction of moving electric charges
The earth itself is a magnet
The earth's north geographic pole is close to a magnetic south pole, which is why the north pole of a compass needle points north
The earth's magnetic axis is not quite parallel to its geographic axis (the axis of rotation), so a compass reading deviates somewhat from geographic north
Magnetic declination or magnetic variation
The deviation of the compass reading from geographic north, which varies with location
The magnetic field is not horizontal at most points on the earth's surface; its angle up or down is called magnetic inclination
There is no experimental evidence for magnetic monopoles
A moving charge (or current) creates a magnetic field in the surrounding space
The magnetic field exerts a force on any other moving charge (or current) that is present in the field
Magnetic field
A vector field - a vector quantity associated with each point in space
The magnitude of the magnetic force on a moving particle is proportional to the component of the particle's velocity perpendicular to the field. If the particle is at rest, or moving parallel to the field, it experiences zero magnetic force
Cathode-ray tube
Electron beam shoots out a narrow beam of electrons
If there is no force to deflect the beam, it strikes the center of the screen
The magnetic force deflects the beam, and creates an image on the screen
Magnetic field lines
Lines that represent the magnetic field, with the line through any point tangent to the magnetic field vector at that point
Magnetic field lines never intersect
When a charged particle moves in a magnetic field, it is acted on by the magnetic force, which is always perpendicular to the velocity, so it cannot change the speed of the particle
If the particle has velocity components parallel to and perpendicular to the field, its path is a helix, but the speed and kinetic energy of the particle remains constant
Velocity selector
Uses perpendicular electric and magnetic fields to select particles of a specific speed from a beam
The Hall emf reveals whether the charge carriers in a current-carrying conductor are negative or positive
A moving charge generates a magnetic field that depends on the velocity of the charge, and the distance from the charge
The total magnetic field of several moving charges is the vector sum of each field
The field lines around a long, straight, current-carrying conductor are circles, with directions determined by the right-hand rule
Computer cables or cables for audio-video equipment create little or no magnetic field because the opposing currents in the closely spaced wires cancel each other's magnetic fields
The magnetic field of the lower wire exerts an attractive force on the upper wire. If the wires had currents in opposite directions, they would repel each other
MRI (magnetic resonance imaging) requires a magnetic field of about 1.5 T
Ampere's law
Relates electric current to the line integral around a closed path
If the integral around the closed path is zero, it does not necessarily mean that the magnetic field is everywhere along the path, only that the total current through an area bounded by the path is zero