ELECTRONICS Flashcards
What is a mesh?
A loop that does not contain other loops
What is a KCL in regards to nodes
Sum of all current leading to a node = 0 (conservation of charge( so if all currents facing the node - the sum = 0 if some facing and some moving away then can rearrange to that sum of those moving away equal those going towards
Practice breaking circuits down into parallel and in series resistors
Know unit conversion (Charge, Voltage, Current and Powah)
Charge is in coulombs - 1.6E-19
Voltage is volts = 1 J/C
Current is I in amps - its C/s
Power is Watts and P = IV (also I^2 /R or V^2/I
(and of course V = IR
What is resistivity?
resisitivity is an inherent property of a material (unit is ohm m) - Resistance as a whole depends on geometry of as well as resistivity
So R = p *(L/A)
What is conductance?
Inverse of Resistance (1/R) - its G
Know how to calculate max wattage a resistor can take- eg 1000 Watt hair dryer - 120 V outlet - what can the max resistance be
W = IV so 1000 = 120 * I
I = 8.33
120 = 8.33 * R
R = 14.4
Difference between Ideal voltage and current source
Idea lvoltage source-
Output voltage doesnt change -
0 internal resistance -
Current changes based on load
Ideal current source -
Load doesn’t effect output current
(voltage changes based on load)
and infinite internal resistance
Branch vs node
branch a portion of circuit with 2 terminals
Node - a junction of 2 or more branches
What is KVL kirchoffs voltage law
Sum of the voltages around a closed loop is 0
eg so if have 2 sources their sum = 0
Know KCL and KVL in a circuit
So in series I is the same and V is the sum of V’s
R is the sum of the R’s
In parallel I is the sum, V is the same and R is(1/R = 1/R +1 /R + 1/R)(so int his case - conductivity is summed G is sum of G’s)
So what is voltage divider and how can it beused
Basicaly a bunch of things in series - if we have a bunch of resistors in series its a voltage divider - If there are a bunch of resistors in a row the voltage we measure can vary based on how much of the resistors we are measuring across
Whats a current ddivider -
A bunch of resistors in parallel
Practical vs ideal voltage source
Has internal resistance or impedance
But basically if the internal resistance is «< Rl (resistance of load) can essentially say that the vl = vs (voltage across load equals that of V source
Practical current source
internal imedance infinity - So the OUTPUT current depends on R - look at derivation for that - KEY HERE IN DIAGRAM THEN - our internal resistance is PARALLEL to our load resistance
So we see the opposite relationship where rs»> Rl then Is = Il(go through derivation)
How to measure voltage with a DMM (talk about loading error)
You want to do it in parallel with a resistor (in parallel voltage remains the same)
However to minimize loading error you want the DMM to have Very high resistance such that the R equivalent for this parallel part essentially just equals the resistance of the resistor in circuit
(DO OUT THE math - For our parallel section with the DMM the Req is 1/Req = 1/Rc + 1/Rdmm
Which turns into :Rc*Rdmm / (rc + RDmm)
SO if Rdmm»_space;> Rc then it just turns into Rc which is what we want - reflects the circuit
When measuring current with DMM what do we want
We want it in series with minimal resistance (so again thinking of resistance - in series add them up - soto make the equivalent resistance = the resistance in circuit want Rc»»> RDmm
Loading error equations fo measuring DC voltage
Essnetiall % error for V
(so V load - V battery / V battery)*100
OR for REsistor ITS different
-Rt / (Rt +Rm)
Note m is the load or meter and T is the soruce
NOTE always negative error because ITS always less than
NOTE -larger DMM resistance makes or error smaller
Measuring DC current error
% error for current again
and for Resistance
Er = - Rm/(Rn + RM) x 100
RM being fo the load I belive
LOADING ERROR DECREASES WITH SMALLER DMM RESISTANCE which we showed
Steps for KVL analysis
Draw current direction
Define clock wise or countercloskwise to sum voltages (use the same convention in every loop) - APPLY THE KVL (V in series should add up to 0 (or to the battery amount)
Or can apply kirchoff current law (at a node the sum of current s= 0
What is a Thevenin netwooork
Basically any network of sources and resistors can be seen as a voltage source and resistor in series (Vt is voltage source) and RT is resistance of netowrk
Norton Equivalent Circuit
Same idea as thevening but a CURRENT source and a parallel resistor - r = Rn
What is the relationship between Rt and Rn (thevenin and norton)
Rt = Rn
How to calculate Thevenin Resistance Rt
Take away voltage source replace with wire (note we’re calculating resistance Load sees) - so then we turn the remaining resistors into one equivalent resistor in regard to the load (in Voout or a b
Thevenin get the open circuit voltage
Remove the load Equal tot he voltage across the parallel resistor -
Calculate the Short circuit Current
See slide about how to do - go over study guide
How to generate Alternating Current
Current through a wire creates a magnetic field - you then have 2+ coils of wire placed so the changing magnetic field in one induces a voltage in the other - So basically we have an AC source we apply to one coil (energize it) - ti will create an AC voltage in the other coil
Why do we use AC over DC
motor and generator design simpler and more efficient
Whats the fourier theorm
Can construct any other waveform by adding sinusoid of different frequencies
What are the parameters of a sin wave
Frequency - 1/t # of cycles past a point in unit time0
w = 2 pi * f (rad/s) (angular frequency) (change in angle over time)
v = Vpsin wt (note Vp is peak V)
I = Ipsinwt (I is peak I?)
How does phase effect sine waves
Have 2 AC batteries - If both in phase - additive if one out of phase - subtract em
IV relationships in AC circuits how do they change (implications on power)
Not much really - V just becomes Vpsin(wt)
so if one resistor in a loop voltage across it is Vpsin(wt)
If want current across it its just (Vpsin(wt))/R
So for Power - P average = Irms * Vrms
Also can do Joule Heat in resistor (called effective DC signal)
CAPACITOR EQUATIONS
C = Q/V (q quantity of charge in coulombs) and C is capacitance in Farads
Q = CV
How does a capacitor work and what do they do
Important because means a VOLTAGE change can lead to a time varying charge (charge per time) (or current)
So we get a current change following our voltage change
How do capacitors add
inverse of resistors - so in parallel add them up - in series its 1/C = 1/C + 1/C
Does current flow through a capacitor?
NO in DC nothing - in AC its charging and discharign MIMIC the AC current