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The Resistor Color Code
Band color Numeric value
Black Brown Red Orange Yellow Green Blue Violet Gray White 0 1 2 3 4 5 6 7 8 9
1st number Multiplier
2nd number Tolerance band (e.g. gold = 5% silver = 10%, none = 20%)
1. Write down the numeric value corresponding to the first band on the left.
2. Write down the numeric value corresponding to the second band from the left.
3. Write down the number of zeros indicated by the multiplier band, which represents a power of 10 (black = no extra zeros, brown = 1 zero, etc.). A gold multiplier band indicates that the decimal is shifted one place to the left; a silver multiplier band indicates that the decimal is shifted
two places to the left.
4. The tolerance band represents the precision. So, for example, we would not be surprised to find a 100 5 percent tolerance resistor that measures anywhere in the range of 95 to 105 .
Example
Red Red Orange Gold Blue Gray Gold
= 22,000 = 6.8
or 22 ×103 or 68 ×10−1
= 22 k, 5% tolerance = 6.8 , 20% tolerance
Standard 5 Percent Tolerance Resistor Values
1.0 1.1 1.2 1.3 1.5 1.6 1.8 2.0 2.2 2.4 2.7 3.0 3.3 3.6 3.9 4.3 4.7 5.1 5.6 6.2 6.8 7.5 8.2 9.1
10. 11. 12. 13. 15. 16. 18. 20. 22. 24. 27. 30. 33. 36. 39. 43. 47. 51. 56. 62. 68. 75. 82. 91.
100 110 120 130 150 160 180 200 220 240 270 300 330 360 390 430 470 510 560 620 680 750 820 910
1.0 1.1 1.2 1.3 1.5 1.6 1.8 2.0 2.2 2.4 2.7 3.0 3.3 3.6 3.9 4.3 4.7 5.1 5.6 6.2 6.8 7.5 8.2 9.1 k
10. 11. 12. 13. 15. 16. 18. 20. 22. 24. 27. 30. 33. 36. 39. 43. 47. 51. 56. 62. 68. 75. 82. 91. k
100 110 120 130 150 160 180 200 220 240 270 300 330 360 390 430 470 510 560 620 680 750 820 910 k
1.0 1.1 1.2 1.3 1.5 1.6 1.8 2.0 2.2 2.4 2.7 3.0 3.3 3.6 3.9 4.3 4.7 5.1 5.6 6.2 6.8 7.5 8.2 9.1 M
TABLE 14.1 Laplace Transform Pairs
f(t) = 5−1 {F(s)}
δ(t)
u(t)
tu(t)
n−1
(n −1)!u(t), n = 1,2,...
e−αtu(t)
te−αtu(t)
n−1
(n −1)!e−αtu(t), n = 1,2,...
F(s) = 5{f(t)}
1
1 s 1 s2 1 sn 1
s +α 1
(s +α)2 1
(s +α)n
f(t) = 5−1 {F(s)}
β −α(e−αt −e−βt)u(t)
sinωt u(t)
cosωt u(t)
sin(ωt +θ)u(t)
cos(ωt +θ)u(t)
e−αt sinωt u(t)
e−αt cosωt u(t)
F(s) = 5{f(t)}
1
(s +α)(s +β) ω
s2 +ω2 s
s2 +ω2
ssinθ +ωcosθ s2 +ω2
scosθ −ωsinθ s2 +ω2
ω
(s +α)2 +ω2 s +α
(s +α)2 +ω2
TABLE 6.1
Name
Summary of Basic Op Amp Circuits
Circuit Schematic Input-Output Relation
Inverting Amplifier
vin
Rf i vout = −Rf vin 1
R1
–
i + + + vout
– –
Noninverting Amplifier
R1
vin
Rf
–
+
+ –
vout = µ1 + Rf ¶vin 1
+ vout –
Voltage Follower (also known as a Unity Gain Amplifier)
vin
–
+
+ –
vout = vin
+ vout –
Summing Amplifier Rf i vout = −Rf (v1 +v2 +v3)
R va –
v1
+ –
v2
i1
+ i2 –
v3 –
R vb + + R RL vout
– i3
Difference Amplifier R i vout = v2 −v1
v1
+ –
i1 R
+ i2 R 2 –
va – vb +
R RL
+ vout –
ENGINEERING CIRCUIT ANALYSIS
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