Electronic Circuits Flashcards
Process of converting AC to pulsating DC
Rectification
Process of removing 1/2 cycle of the input
Half wave rectification
Formula for Average(dc) Voltage at the output of a Half Wave Rectifier
0.318 Vp
or
Vp / π
Formula for Average(dc) Voltage at the output of a Full Wave Rectifier
0.636 Vp
or
2Vp / π
A clipper circuit is also known as a
Limiter
Refers to the introduction of a reference signal level
Clamping
Clamping is also called
DC reinsertion and DC restoration
An electrical circuit that converts AC electrical power from a lower voltage to a higher DC voltage
Voltage Multiplication
A Power Supply consists of
Transformer, Rectifier, Filter, Regulator, Load
Formula for Induced Voltage in a transformer winding(either primary or secondary) when the core contributes to its voltage
V = 4.44 N f ɸ
N - # of turns
ɸ - Max Flux in core (Wb)
f - frequency
Turns Ratio (Formula)
a = Ns / Np
a = Vs / Vp
a = sqrt( Zs / Zp)
a = Ip / Is
Copper Loss (Formula)
Losses across the Resistances
(I^2)R
Eddy Current Loss (Formula)
We = ne (fB)^2
ne - proportionality constant
f - frequency
B - max flux density
Transformer Efficiency (Formula)
n = (Pout / Pin) x 100%
Pin = Pout + Ploss
Formula for Vrms of Half Wave
0.707 Vm
Formula for Vrms of Full Wave
0.707 Vm
Ripple Factor (Formula)
r = V(ripple)rms / VaveFW/HW
V(ripple)rms - RMS Ripple Voltage
VaveFW/HW - average output voltage of FW/HW Rectifier, not the Vdc of the ripple
Formula for Voltage Regulation/Load Regulation
%VR = (Vnl - Vfl) / Vfl
NO FULL FULL
Converts Pulsating DC to Suitably Smooth DC level
Filter
Formula for V(ripple)rms in a C-filter (Formula)
V(ripple)rms= Idc / (4√3 * fC)
Idc - DC current
f - frequency
C - Capacitance
Simplest and most economic filter
C-filter
Formula for Vdc in RC-filter (Formula)
Vdc(load) = (Rload / (Rload + Rrc)) * Vdc(FW/HW)
Rrc - Resistor used in RC filter
Vdc(FW/HW) - Average voltage just after the FW/HW rectifier, serving as the input to the RC filter
Formula for V(ripple)rms in RC-filter (Formula)
V(ripple)rms(load) = (Xc / Rrc) * Vrms(FW/HW)
Rrc - Resistor used in RC filter
Vrms(FW/HW) - RMS voltage just after the FW/HW rectifier, serving as the input to the RC filter
Provide Steady DC output
Voltage Regulators
Stability Factor (Formula)
S = ΔVo / ΔVin
@constant output current
Arrangement of Fixed and Variable resistive elements used to reduce the strength of an RF or AF signal.
Attenuator
Another term for an Ideal Source
Stiff Source ( ͡° ͜ʖ ͡°)
The internal Resistance of an ideal voltage source is ______
0 Ohms
The internal Resistance of an ideal Current source is ______
Infinity Onms
Parts of a battery
- ) + terminal
- ) - terminal
- ) Electrolyte
When the battery is discharging, The (anode/cathode) is positive, and the (anode/cathode) is negative
Cathode is Positive
Anode is Negative
What process is involved when a battery discharges?
Reverse Electrolysis
Reverse electrolysis involves a ________ reaction into a _______ reaction
Chemical Reaction into Electrical Reaction
When the battery is charging, The (anode/cathode) is positive, and the (anode/cathode) is negative
Cathode is Negative
Anode is Positive
What process is involved when a battery charges?
Electrolysis
Electrolysis involves a ________ reaction into a _______ reaction
Electrical Reaction into Chemical Reaction
What chemical process is involved at the Anode when a battery discharges?
Oxidation
“NOA” (Negative Oxidation Anode)
What chemical process is involved at the Cathode when a battery discharges?
Reduction
“PRC” (Positive Reduction Cathode)
A Property of a battery that defines how long you can supply a constant current A for H hours
Ampere-hour (Ah)
THEORY: A circuit can be represented as one voltage source and a resistance in series
Thevenin’s Theorem
THEORY: A circuit can be represented as one current source and a resistance in Parallel
Norton’s Theorem
The Thevenin’s Resistance and Norton’s Resistance are ________
equal
Conversion from Thevenin’s Voltage Source into Norton’s Current Source
I(no) = V(th) / R(th)
Conversion from Norton’s Current Source into Thevenin’s Voltage Source
V(th) = I(no) R(no)
Steps in Obtaining Thevenin Equivalent / Norton Eqiovalent Circuit (TEC/NEC)
1.) TONS
(Thevenin Open Rload, Norton Short Rload)
Get V(th) / I(no)
2.) VSCO
(Voltage Source Short, Current Source Open)
Get R(th) / R(no)
3.) Rebuild Circuit (with V(th)/I(no) and R(th)/R(no))
and replace Rload back into the TEC/NEC circuit
Thevenin’s Resistance is also called ______
Looking Back Resistance
Norton’s Resistance is also called ______
Looking In Resistance
Formulas for Delta to Wye
RY = (Product of RΔ Adjacent to RY) / (Sum of RΔ)
Formulas for Wye to Delta
RΔ = [Sum of Products (RY)] / (RY opposite to RΔ)
When Branches that consist of [a Voltage source and a resistance in series], and of these branches are connected in parallel to each other, what Theorem is applicable to obtain the effective voltage across the parallel connection?
Millman’s Theorem
Formula for Voltage across a parallel connection of branches consisting of [a Voltage source and a resistance in series] (AKA Millman’s Theorem)
V(No Load) = { (E1 / R1) + (E2 / R2) + … } / { (1 / R1) + (1 / R2) + …}
Formula for Resistance across a parallel connection of branches consisting of [a Voltage source and a resistance in series] (AKA Millman’s Theorem)
Reff = 1 / { (1 / R1) + (1 / R2) + … }
What do you call the approximation on the resistance of a conductor that assumes it has zero resistance?
Ideal Approximation
When Zinc is employed as a component in a battery, it is usually the (Negative/Positive) terminal
Negative
When Copper is employed as a component in a battery, it is usually the (Negative/Positive) terminal
Positive
A circuit that operates at maximum power transfer has an efficiency of _____%
50%
Form Factor of a Sine Wave
FF = Vrms / Vave FF = 0.707 Vm / 0.636 Vm
FF(sinewave) = 1.1
Technique for Average Value of Voltage of ANY waveform
NOTE: ONLY FOR THE HALF CYCLE
Vave = Area Under the curve(of the waveform) / Length of the curve
Length is usually the time in the time axis
Technique for RMS Value of Voltage of ANY WAVEFORM
- ) Segment the waveform into even vertical strips, the more, the better
- ) Get the MIDDLE value of voltage per vertical strip
- ) Square these values
- ) Add the squared values
- ) divide the sum by the number of vertical strips made
- ) Square root the answer
Final Formula:
Vrms = SQRT( { [V1^2] + [V2^2] + [V3^2] +… } / n )
Peak value of waveform
Vp=sqrt(2)*Vrms
Peak to peak value of waveworm
Vpp=2Vp
Average value of waveform
Vave=2Vp/π
RMS value of a waveform
Vrms=Vp/sqrt(2)
What is form factor
ratio of rms to average value
Vrms/Vave
What is peak factor
ratio of peak to rms
Vp/Vrms
Series RL Circuit total voltage
Vt = Vr + jVL
= |Vt|∠θ
Series RL Circuit total impedance
Z = R + jXL
= |Z|∠θ
Series RL Circuit total current
It = Vt / Z
Series RC Circuit total voltage
Vt = Vr - jVc
= |Vt|∠θ
Series RC Circuit total impedance
Z = R - jXc
= |Z|∠θ
Series RC Circuit total Current
It = Vt / Z
Series RLC Circuit total voltage
Vt = Vr + jVL - jVc
= |Vt|∠θ
Series RLC Circuit total impedance
Z = R + jXL - jXc
= |Z|∠θ
Series RLC Circuit total current
It = Vt / Z
Parallel RL Circuit Total current
It = Ir - jIL
= |It|∠θ
Parallel RL Circuit Total admittance,Y
Y = G - jBL
= |Y|∠θ
Parallel RL Circuit Total Voltage
Vt = It*Z
Parallel RC Circuit Total current
It = Ir + jIC
= |It|∠θ
Parallel RC Circuit Total admittance,Y
Y = G + jBc
= |Y|∠θ
Parallel RC Circuit Total Impedance, Z
Z = 1 / Y
Parallel RC Circuit Total Voltage
Vt = It*Z
Parallel RLC Circuit total current
It = Ir + jIc - jIL
=|It|∠θ
Parallel RLC Circuit total Admittance
Y = G +jBc - jBL
=|Y|∠θ
Parallel RLC Circuit total Impedance
Z = 1/Y
Parallel RLC Circuit total Voltage
Vt = It*Z
True/Real/Active Power formula
P = Ir² R
= Vr² / R
= IrVr (watts)
= VtIt*cos(θ)
cos(θ) = power factor
Subscript ‘r’ means V/I at resistor
Reactive Power formula
Q = IxVx
= VtIt*sin(θ)
sin(θ) = reactive factor
Subscript ‘x’ means V/I at Capacitor/Inductor
Apparent power formula
S=I²Z
=Vt²/Z
=Vt*It
Z is Real + Reactive componet impedance
Power Triangle
cos(θ) = P/S (Power Factor) sin(θ) = Q/S (Reactive Factor) S= P +-jQ = |S|
Resonant Frequency Formula (Both Series and THEORETICAL Parallel)
Fr = 1 / (2π*√(LC))
What is a Quality Factor(Series or Parallel Resonant)
AT RESONANCE, It is the ratio of stored/reactive power to the dissipated/real power
Formula for Quality Factor Formula in resonant circuits (Series Resonant)
@Fresonant:
Q= XL/Rs = Xc/Rs
Q=(1/Rs)*√(L/C)
Formula for Rise in voltage across L and C at resonance (series resonant)
VL = Q*E VC = Q*E
E - Source Voltage
Formula for Bandwidth formula at resonance
BW=Fr/Q