Electricity Flashcards
DC
Direct current supply has one size and one direction.
AC
An alternating current supply is a current which changes direction and instantaneous value with time. This is shown as a sine wave on an oscilloscope screen. Time is measured using x axis and voltage on y axis.
Frequency of ac supply
Found from xaxis (timebase) using these steps:
1. find no boxes to complete one wave
2. find period by x the boxes by timebase (e.g. 4x(2x10^-3)ms
3. use equation f=1/T (Hz)
Peak voltage of AC supply
Found by counting no boxes which = amplutude (centre up)
Multiply by y-gain or voltage gain value. (e.g 2 x 3V=6V)
True value of ac voltage
Average voltagw for one whole wave. This is called r.m.s volatge (Vrms). Mains r.m.s is 230v while peak v is 325V.
rms and peak voltage equation
vrms = Vpeak/squareroot 2
rms current and peak current equation
Ipeak = squareroot2 x Irms
IMPORTANT info on calculating rms values
When doing a calculation ALWAYS use r.m.s. values. If peak values are used in a
calculation the answer will be wrong! For example;
If Ipeak = 2 A and Power = 8 W, calculate Vrms.
You must find Irms first then use the equation P = IV or the answer will be wrong.
(Answer is Vrms = 5.7 V)
Current
The rate of flow of charge or number of coulombs of charge passing a point each second.
relationship between charge and current
Q=It
Voltage
Energy given to each coulomb of charge
Potential difference
Same thing as voltage
Word done (energy) in moving one coulomb of charge between 2 points.
Relationship between p.d, current and resistance
V=IR
When describing p.d is ‘across’ component and current is ‘through’ component.
As resistance increases
Current decreases
Power related to ohm’s law
P=IV
P=I^2R
P=v^2/R
In a series circuit
Current is same at all points
Supply V is shared across components
Total resistance is found by adding resistors together
Parallel Circuit
Current split up through each branch
Vsupply is same as p.d across each branch.
Total resistance 1/Rt = 1/R1 +1/R2 +1/R3
When resistor in parallel is added, total resistance decreases.
If 2 resistors in parallel have same value, then total r will be half one of resistors.
Potential dividers
v1/v2 = r1/r2
v2 = (r2/(r1+r2)) x Vs
Bridge voltage
Voltage across V2 for both potential dividers then difference between 2 values
current and internal resistance
same as rest of circuit
e.m.f
electromotive force is the voltage across the battery when no current is in the supply
definition of e.m.f
Energy given to each coulomb of charge that passes through the supply. You could also say the voltage across the battery when there is an open circuit.
T.p.d
terminal potential difference is the voltage across the supply where there is a current in the supply (switch closed). The voltage across the battery is the same as what would be across the load resistor (resistors outside the battery) in the circuit.
‘lost volts’
Difference between e.m.f and t.p.d values. This occurs as the battery has a small internal resistance and when a current passes through battery a potential difference is generated across internal resistance.
internal resistance equation
E = V + IR
E= I (R+r)
if emf is used then total resitance is E = I (R+r)
if its t.p.d then load resistance must be used Vtpd = IR
If its lost volts the internal resistance must be used V Iv = IR
remember current will always be same as it is a series circuit, unless load resistance or internal resistance is changed
common exam q for load
A common way the load resistance can be altered
is to add another resistor in parallel. This would
reduce the reading on the voltmeter because;
The load resistance decreases which decreases
the total resistance in the circuit.
The current in the circuit will increase.
The lost volts across the internal resistance
increases OR share of potential difference across the parallel branch
decreases.
Short circuit
Where a wire is placed across the terminals of the battery meaning load resistance is no longer forming part of the circuit (R=0).
A short circuit will increase current as there is less resistance. To find current in the circuit E = I (R+r) changes to E=Ir
Using graph to determine the emf and internal resistance
EMF is found by determining y-intercept (when current is 0)
Internal resistance determined by gradient (neg gradient but written pos ohms)
Internal resistance can also be calculated E= Ir where E is y intercept and I is the x intercept (short circuit)
Capacitor
Device used to store charge, measured in Farads.
Capacitance
Ratio of charge stored to potential difference. Capacitance is gradient of line in charge against V graph, an so is always a constant.
C=Q/V
If a capacitor of larger capacitance is used then charge stored will be…
greater
The v across capacitor can never be greater than supply v
Capacitor plates
Has 2 plates which store charge. Plate is connected to negative side of battery will be negatively charged as extra electrons are added to it. The plate connected to the positive side of battery will be positively charged as electrons are removed from it. Electrons do not move across gap between plates as insulator.
Capacitor Charge
Charge when connected to a battery. The capacitor stores energy during charging process. This happens because work done (energy) by the capacitor as negatively charged electrons experience a repelling force as they join the negatively charged plate. Work is done to overcoming this repelling force
Energy stored by a capacitor on graph
= area under charge against v graph
therefore, E=1/2 QV
Equations for energy stored by capacitor
E=1/2QV
E=1/2 CV^2
E=1/2Q^2C