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DC Fundamentals
January 23, 2021
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January 26, 2021
V-peak
V-peak
V-peak-peak
t(1msec) 0.5 1.0
T =Period (complete 1 cycle)
AC signal
• Signal name: Sine-wave
• Time domain: amplitude varies with time
• Vp = Vpeak = 5 V
• Vp-p= Vpeak-peak = 2 x Vp= 10 V
• VRMS( effective voltage) = 0.707 X Vpk=3.535V
• T = Period ( in second )
• F = Frequency ( in hertz )
• Relationship between Period and Frequency:
• T = 1 / F
orF = 1 / T
( T=sec F=Hertz )Cycle - One complete occurrence of a repeating wave (periodic signal) such as one positive and one negative alternation of a sine wave.
Frequency - the number of cycles of a signal that occur in one second.
Period - the time distance between two similar points on a periodic wave.
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DC Fundamentals
January 23, 2021
• To handle with the large number in electronic systems used power of ten notation
• The number 10 is called the base and its power is called the exponent
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Electronic Technician Certification Program
Electronic Technician Certification Program DC Fundamentals
January 23, 2021
EXAMPLE
Answer:
a) 2.484 b) 4.91 x 103
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DC Fundamentals
January 23, 2021
EXAMPLE
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Electronic Technician Certification Program DC Fundamentals
January 23, 2021
EXAMPLE
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DC Fundamentals
January 23, 2021
1. Convert 0.1 MV to kilovolts (kV). =0.1 x 10^3 =100kV 2. Express the following in engineering notation:
a. 10 x 104 volts = 100X10^3
b. 0.1 x 103 watts= 0.1kW c. 250 x 107 seconds= 2500X10^6 EXAMPLE
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Electronic Technician Certification Program DC Fundamentals
January 23, 2021
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DC Fundamentals
January 23, 2021
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Electronic Technician Certification Program DC Fundamentals
January 24, 2021
Structure of a molded carbon composition resister
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DC Fundamentals
January 24, 2021
Actual size of carbon resistors (2 W, 1 W, 1 ⁄2 W, 1 ⁄4 W, 1 ⁄8 W).
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Electronic Technician Certification Program DC Fundamentals
January 24, 2021
Power resistors.
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DC Fundamentals
January 24, 2021
Integrated resistor network
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Electronic Technician Certification Program DC Fundamentals
January 24, 2021
External view of variable resistors
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DC Fundamentals
January 24, 2021
RESISTOR COLOR CODE
Opposite to the current flow
General purpose Resistor 4-bands
Precision Resistor
5-bands
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GENERAL PURPOSE RESISTOR COLOR CODE
First band Second band Third band Fourth band
Color First Digit Second Digit Multiplier Tolerance
Black - 0 10
0-
Brown 1 1 10
1-
Red 2 2 10
2-
Orange 3 3 10
3-
Yellow 4 4 10
4-
Green 5 5 10
5-
Blue 6 6 10
6-
Violet 7 7 10
7-
Gray 8 8 10
8-
White 9 9 10
9-
Gold - - 10
-1+/-5%
Silver - - 10
-2+/-10%
None - - - +/-20%
DC Fundamentals
June 14, 2021
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PRECISION RESISTOR COLOR CODE
Color First Second Third Multiplier Tolerance
Digit Digit Digit
Black - 0 0 10
0-
Brown 1 1 1 10
1+/-1%
Red 2 2 2 10
2+/-2%
Orange 3 3 3 10
3-
Yellow 4 4 4 10
4-
Green 5 5 5 10
5+/-0.5%
Blue 6 6 6 10
6+/-0.25%
Violet 7 7 7 10
7+/0.1%
Gray 8 8 8 10
8-
White 9 9 9 10
9-
Gold - - - 10
-1-
Silver - - - 10
-2-
DC Fundamentals
February 02, 2021
Electronic Technician Certification Program
Electronic Technician Certification Program DC Fundamentals
January 24, 2021 EXAMPLE
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DC Fundamentals
January 24, 2021
EXAMPLE
Answer Brown, Black, Violet, Gold EXAMPLE
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Electronic Technician Certification Program DC Fundamentals
January 24, 2021
Conductance
Conductance, G, is defined as the measure of a material’s ability to allow the flow of charge and is assigned the SI unit the siemens (S). A large conductance indicates that a material is able to conduct current well, whereas a low value of conductance indicates that a material does not readily permit the flow of charge. Mathematically, conductance is defined as the reciprocal of resistance. Thus
G = 1/ R
unit is [siemens, S] Where R is resistance in OHMDetermine the conductance of the following resistors:
a. 5
b. b. 100 k
EXAMPLE
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DC Fundamentals
January 24, 2021
Ohm’s Law
• The relation between Apply voltage E and the current I and resistor R
• E = I x R
Where E= apply voltage in volts I= current in AmpereR= resistance in ohms
• I = E / R
• R = E / I
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Electronic Technician Certification Program DC Fundamentals
January 24, 2021
Power is in Watt
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DC Fundamentals
January 24, 2021
Electronic Technician Certification Program
Electronic Technician Certification Program DC Fundamentals
January 24, 2021 A B
D C
DC Series Circuit
• Current is the same through each resistor
• Voltage across each resistor is different
• Power dissipated by each resistor is different
• Total resistance of the circuit:
Rtotal = R1 + R2 + R3 + … Rn
• Voltage across resistor R1: VR1=VAB=VA-VB = I x R1
• Voltage across resistor R2: VR2=VBC=VB-VC = I x R2
• Voltage across resistor R3: VR3=VCD=VC-VD = I x R3
• Total voltage E = VR1 + VR2 + VR3
• Power dissipated PR1 = I2x R1
• Power dissipated PR2 = I2x R2
• Power dissipated PR3 = I2x R3
• Total power Ptotal = E x I = PR1 + PR2 + PR3
5. VR3 = _________ V
6. Power PR1 = _______Watt 7. Power PR2 = _______Watt 8. Power PR3 = _______Watt For the circuit shown, solve for:
1. Total resistance Rtotal= _______ 2. Total current I = ________A
3. VR1 = ________ V 4. VR2 = ________ V
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DC Fundamentals
January 24, 2021
The Voltage Divider Rule
( Apply to Serial circuit only )
To calculate the voltage from B to the Ground same as
voltage across R2 we can calculate current I then VR2=I x R2 Using the voltage Divider rule as following
VR2 = E x R2/( R1 + R2 )
A B
c
For the circuit shown with R1,R2,R3,R4 Use the voltage divider rule, calculate:
1. Voltage at point b 2. Voltage at point c 3. Voltage at point a
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Electronic Technician Certification Program DC Fundamentals
January 24, 2021
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DC Fundamentals
January 24, 2021
PARALLEL Circuit or Shunt circuit
• All the resistors connected in the parallel will have the same voltage E = VR1 = VR2 = VRN
• The current through each resistor ( branches current ) in parallel are different
• The total current IT = I1 + I2 + IN
• The total resistance ( RT ) or Equivalent resistance calculate as the following
• For only two resistors in parallel
• RT calculate as RT = ( R1 x R2 ) / (R1 + R2)
Electronic Technician Certification Program
Electronic Technician Certification Program DC Fundamentals
January 24, 2021
EXAMPLE
R
TCalculate the total resistance for the circuit
shown. RT = ___3____
R
TEXAMPLE
Calculate the total resistance for the circuit
shown. RT = ___8____
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DC Fundamentals
January 24, 2021
EXAMPLE
Calculate the total resistance for the circuit
shown. RT = ___50____
EXAMPLE
Calculate the total resistance for the circuit
shown. RT = _______k
Electronic Technician Certification Program
Electronic Technician Certification Program DC Fundamentals
January 24, 2021
Parallel Circuit
Apply for only two resistors in parallel CURRENT DIVIDER Law
IT
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DC Fundamentals
January 24, 2021
For the circuit shown, determine the following quantities:
a. RT b. IT
c. Power delivered by the voltage source d. I1 and I2 using the current divider rule e. Power dissipated by the resistors
EXAMPLE
Solution
a. RT = R1 R 2 / R2 R2 = 1.6 k b. IT =E / RT = 22.5 mA
c. PT = E X IT = 810 mW
d. I2 = R1 / ( R1 + R2) x IT = 4.5 mA e. I1 =R2 / ( R1 + R2 ) X IT = 18.0mW f. PR1 = E2 / R1 = 648mW
g. PR2 = E2 / R2 = 162mW
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January 29, 2021
A B
B A
C
GND
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TEST EQUIPMENTS:
• DMM ( Digital Multimeter ) Measure:
• DC and AC (Vrms) voltages
• DC and AC (Irms) currents
• Resistance (Ohm)
• Continuing Option:
• Capacitance
• Diode
• Frequency
To measure current HI Lead must connect to this site
DC Fundamentals
January 29, 2021
Electronic Technician Certification Program
Electronic Technician Certification Program DC Fundamentals
January 29, 2021
Use DMM to measure DC and AC voltages:
• To measure voltage at point C ( single point )
• Connect DMM-HI (Red Lead ) to C
• Connect DMM-LO (Black Lead ) to GND (common)
• To measure voltage across R2 (from C to D)
• That means voltage from point C to D and VCD =VC-VD
• Connect DMM-HI (Red Lead ) to C
• Connect DMM-LO (Black Lead ) to D
• Use DMM to measure the AC voltage or AC current,
• Only voltage you can get is VRMS and IRMS not Vpk-pk or Ipk-pk
• To measure the current either DC or AC you must break the circuit, this is not practical happen in the company
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DC Fundamentals
January 31, 2021
Use DMM to measure the current