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electricity is made up of ________ particles; what kind?
charged particles; protons (positive) and electrons (negative)
a neutral object will have equal numbers of
protons and neutrons
protons and electrons have charges of equal MAGNITUDE:
|q|= 1.6×10-19C
charge is always
conserved; can be transferred from one object to another but total amount of charge is constant
conductors
substances that allow for free motion for electrons; may be some loss of KE
examples of conductors
metal and salt water
superconductors
substances that allow for free motion of electrons without any loss of energy
insulators
substances that inhibit the free motion of electrons
examples of insulators
distilled water and gases
two ways an object can be charged
by contact or induction
charging by contact
a charged object directly touches another object and transfers charge to it
charging by induction
no direct contact; a charged object is brought nearby a neutral object; the charges on the neutral object separate and the side closest to the charged object becomes the opposite charge of it and the other end of the object becomes the same charge of it
4 fundamental forces in the universe (in order of strength)
SEWG strong force, electromagnetic force, weak force and gravitational force
strong force
binds quarks together to form protons and neutrons and holds the nucleus of the atom together
electromagnetic force
force between charged particles
weak force
important for radioactive decay and nuclear processes
gravitational force
force between masses
gravity and electromagnetism similarities
both are mutual forces (equal and opposite reaction) and have inverse square relationships
gravitational force differences
based on masses; relatively weak; operates over large distances; attractive; always positive
electromagnetic force differences
based on charges of objects; relatively strong; operates over short distances; attractive or repulsive; positive (repel) or negative (attract)
Coulomb’s Law
force between two electrostatic charges; FE=kq1q2/r2
Gravitational Force formula
FG=Gm1m2/r2
do field forces require contact to cause motion?
no
Q (point charge) vs q (test charge)
Q causes the electric field, q experiences it AND THE FORCE BETWEEN THEM IS THE SAME
E (Electric field equations)
E=F/q OR E=kQ/r2
positive E fields point; negative E fields point
positive fields point away from point charges; negative fields point towards point charges
Electric Field line 3 rules
Field lines exit positive and enter negative charges
Larger charges produce greater proportional number of field lines
Field lines NEVER cross
The closer field line are together,
the stronger the field is at any point
the direction of the electric field line is ____ to the field line at any point
tangent
when a charged particle accelerates in an electric field, does it gain or lose KE?
gains KE
W=
Fd= change in KE= kQq/r
UE formula (electric potential energy)
-kQq/r
V(electric potential) formula
V= UE/q
1 eV (electron volt)
1.6 × 10-19 J
Work is done on the charge and is equal to
W=qV or W=qVAB
VAB
VA-VB
max distance two regions of charge (like parallel plates) can be apart before a spark can be created
VAB=Ed
equipotential lines
show regions where the potential has the same magnitude; perpendicular to electric field lines, so no work is done
capacitors
store electric charge, usually on two parallel plates(one positive one negative) but are often made into a coil to store greater charge
what’s inside the capacitor and what does it do?
an insulator that keeps the two parallel plates from touching
the amount of charge stored in a capacitor depends on two things:
the voltage of the power source and the physical characteristics of the power source
V UP, Capacitance?
UP
capacitance formula and unit
C=Q/V; unit is 1 F or Farad
parallel plates in capacitors characteristics
equal in Area and identical in materials, separated by a distance with nothing in between them; bigger plates can store more charge
C=ε0 A/d
is the formula for capacitance in a parallel plate capacitor, where ε0 is the permittivity of free space, A is the area of the plates, and d is the separation distance between them.
dieletric
an insulator allowing for smaller distance between the plates without a discharge in between them which increases capacitance by reducing the electric field strength.
dielectric in capacitor formula
C=kε0 A/d
Energy of capacitor formulas (Ucap)
Ucap=QV/2 AND Ucap=CV2/2 AND Ucap=Q2/2C
series connection vs parallel connection
direct linkage vs branched linkage
do series have lower or higher capacitance
lower
series capacitance formula
1/Cs=1/C1 + 1/C2 + 1/Cn
does each capacitor in series have the same capacitance and voltage
same capacitance in each capacitor, but voltage varies with the individual
parallel capacitance formula
Cp= C1 +Cn
does each capacitor in parallel have the same capacitance, voltage and current?
voltage (V) stays the same within each capacitor, but charge (Q) and capacitance (C) vary
what is current and what is its formula and what are the units?
the rate at which charge moves; C= Q/t; measured in Amps
why does current come about?
because of a difference in potential between points (voltage)
The voltage creates what that in turn generates what
voltage creates an electric field which in turn generates an electromagnetic fore on the charges
Ohm’s Law
a law stating that electric current (I) is proportional to voltage (V) and inversely proportional to resistance (R)
resistance
anything that impedes current flow; measured in ohm’s
internal resistance
atomic collisions or attractions or devices added to the circuit
Ohm’s Law formula
V=IR
L UP, R ?
R UP
Cross sectional area UP, R?
R DOWN
Resistivity formula
R=p L/A
electrical power
the product of current and voltage
direct current
utilizes only one voltage source and flows in only one direction, so is consant
alternating current
is a type of electrical current that periodically reverses direction and changes voltage levels, typically represented as a sine wave.
what does alternating current allow for with a less loss of potential?
long distance transmission of higher voltages
when resistors are combined in series,
this acts as a longer resistor and the total resistance increases.
when resistors are combined in parallel,
this acts as if there’s a greater area, and decreases the total resistance
Adding resistors in a series formula
Rtotal = R1 + R2 + RN
Adding resistors in parallel formula
1/Rtotal = 1/R1 + 1/R2 + 1/RN
ammeter is connected in _________ and voltmeter is connected in ___________
series and parallel
electromotive force
the potential difference of a source with no current flowing
internal resistance, r
resistance to a flow of charge within a voltage source itself
terminal voltage formula
difference between the emf and the voltage of the internal resistance, V= E - Ir
when is I positive
when current is flowing from the positive to the negative terminal
when a battery is connected to a load(external) resistance, the load is considered to be in
series with the internal resistance
Ohm’s Law for Terminal Voltage
I= E/Rload+r
Junction Rule
the sum of currents entering a junction must equal the sum of currents exiting a junction
Loop Rule
the sum of the potential (voltage) around a loop must equal zero
When encountering a battery, a potential is positive if you encounter
the negative terminal first
when encountering a resistor, if you’re going in the direction of the current flow, the potential is
negative
T=RC
is the time constant for an RC circuit, indicating the time it takes for the voltage across a capacitor to charge to approximately 63% of its maximum value
4 elements of an RC circuit
a power source (usually a battery), a resistor, a capacitor, and an open and close switch