elektrik devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/fiz202/ed1_5.pdf ·...

38
Elektrik Devreleri 1

Upload: truongliem

Post on 21-Mar-2018

217 views

Category:

Documents


4 download

TRANSCRIPT

Page 1: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Elektrik Devreleri 1

Page 2: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Dirençler

Page 3: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Dirençler

Page 4: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Kondansatörler

Page 5: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Kondansatör Renk Kodları Colour Digit

A Digit

B Multiplier

D Tolerance (T) > 10pf

Tolerance (T) < 10pf

Temperature Coefficient

(TC)

Black 0 0 x1 ± 20% ± 2.0pF Brown 1 1 x10 ± 1% ± 0.1pF -33x10-6 Red 2 2 x100 ± 2% ± 0.25pF -75x10-6

Orange 3 3 x1,000 ± 3% -150x10-6 Yellow 4 4 x10,000 ± 4% -220x10-6 Green 5 5 x100,000 ± 5% ± 0.5pF -330x10-6 Blue 6 6 x1,000,000 -470x10-6 Violet 7 7 -750x10-6 Grey 8 8 x0.01 +80%,-20% White 9 9 x0.1 ± 10% ± 1.0pF Gold x0.1 ± 5% Silver x0.01 ± 10%

Page 6: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Kondansatör Gerilim Renk Kodları Colour Voltage Rating

Type J Type K Type L Type M Type N Black 4 100 10 10 Brown 6 200 100 1.6 Red 10 300 250 4 35

Orange 15 400 40 Yellow 20 500 400 6.3 6 Green 25 600 16 15 Blue 35 700 630 20 Violet 50 800 Grey 900 25 25 White 3 1000 2.5 3 Gold 2000 Silver

Capacitor Voltage Reference

Type J - Dipped Tantalum Capacitors. Type K - Mica Capacitors. Type L - Polyester/Polystyrene Capacitors. Type M - Electrolytic 4 Band Capacitors. Type N - Electrolytic 3 Band Capacitors.

Page 7: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Metalised Polyester Capacitors

Disc & Ceramic Capacitors

Page 8: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

The capacitor on the left is of a ceramic disc type capacitor that has the code 473J printed onto its body. Then the 4 = 1st digit, the 7 = 2nd digit, the 3 is the multiplier in pico-Farads, pF and the letter J is the tolerance and this translates to: 47pF * 1,000 (3 zero's) = 47,000 pF , 47nF or 0.047 uF the J indicates a tolerance of +/- 5%

Letter B C D F G J K M Z

Tolerance C <10pF ±pF 0.1 0.25 0.5 1 2

C >10pF ±% 0.5 1 2 5 10 20 +80-20

Capacitor Tolerance Letter Codes Table

Page 9: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Capacitor Letter Codes Table

Picofarad (pF) Nanofarad

(nF) Microfarad (uF) Code Picofarad

(pF) Nanofarad (nF) Microfarad

(uF) Code 10 0.01 0.00001 100 4700 4.7 0.0047 472 15 0.015 0.000015 150 5000 5.0 0.005 502 22 0.022 0.000022 220 5600 5.6 0.0056 562 33 0.033 0.000033 330 6800 6.8 0.0068 682 47 0.047 0.000047 470 10000 10 0.01 103

100 0.1 0.0001 101 15000 15 0.015 153 120 0.12 0.00012 121 22000 22 0.022 223 130 0.13 0.00013 131 33000 33 0.033 333 150 0.15 0.00015 151 47000 47 0.047 473 180 0.18 0.00018 181 68000 68 0.068 683 220 0.22 0.00022 221 100000 100 0.1 104 330 0.33 0.00033 331 150000 150 0.15 154 470 0.47 0.00047 471 200000 200 0.2 254 560 0.56 0.00056 561 220000 220 0.22 224 680 0.68 0.00068 681 330000 330 0.33 334 750 0.75 0.00075 751 470000 470 0.47 474 820 0.82 0.00082 821 680000 680 0.68 684

1000 1.0 0.001 102 1000000 1000 1.0 105 1500 1.5 0.0015 152 1500000 1500 1.5 155 2000 2.0 0.002 202 2000000 2000 2.0 205 2200 2.2 0.0022 222 2200000 2200 2.2 225 3300 3.3 0.0033 332 3300000 3300 3.3 335

Page 10: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Mika Kondansatör Okuma Yöntemi

Page 11: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Seramik Kondansatörler

Mika Kondansatörler

Elektrolitik Kondansatörler

Page 12: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 13: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Kondansatörlerin Paralel Bağlanması

VC1 = VC2 = VC3 = VAB=12 V

Kirchoff Akım Yasası,

Page 14: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Kondansatörlerin Paralel Bağlanması

Page 15: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Kondansatörlerin Seri Bağlanması

Kirchoff Gerilim Yasası,

QT = Q1 = Q2 = Q3 ......

Page 16: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Kondansatörlerin Paralel Bağlanması

Page 17: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Değişken Akım (AA) Devrelerinde Kondansatörler

Page 18: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

RC Circuits

Every node in a circuit has capacitance to ground, and it’s

the charging of these capacitances that limits real circuit performance (speed)

We compute with pulses

We send beautiful pulses in

But we receive lousy-looking pulses at the output

Capacitor charging effects are responsible!

time

volta

ge

time

volta

ge

Page 19: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

RC Response The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have

The image cannot be displayed. Your computer may not have enough memory to

V in

R V out

C

Internal Model

of Logic Gate

time

Vout

0 0

Vout

0

Vin

time 0

Vout(t=0) Vin

Vout(t=0)

Behavior of Vout after change in Vin

Page 20: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

KCL at node “out”:

Current into “out” from the left: (Vin - Vout) / R

Current out of “out” down to ground:

C dVout / dt

KCL: (Vin – Vout) / R = C dVout / dt

RC Response Derivation

The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted.

The image cannot be displayed. Your computer may not have enough memory to open the image, or the

out

ground

R

C Vin Vout + _

+

-

)VV(RC1

dtdV

outinout −=

Vout(t) = Vin + [ Vout(t=0) – Vin ] e-t/(RC)

à

Solution:

“Time Constant” τ = RC

Page 21: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Charging and Discharging

Charging: Vin > Vout(t=0) Discharging: Vin < Vout(t=0)

.63 Vin+ .37 Vout(t=0)

Vout

Vin

time τ

Vout(t=0)

Vout(t) = Vin(1-e-t/τ) + Vout(t=0)e-t/τ

0

.63 Vin+ .37 Vout(t=0)

Vout

Vin

time τ

Vout(t=0)

0

63% of transition complete after 1 τ

Page 22: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Common Cases

Transition from logic 0 to logic 1

(charging)

time

Vout

0 0

V1

τ

.63 V1

Vout

V1

time 0 0

τ

.37 V1

Vout(t) = V1(1-e-t/τ) Vout(t) = V1e-t/τ

Transition from logic 1 to logic 0

(discharging)

(V1 is logic 1 voltage)

Page 23: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Charging and discharging in RC Circuits (The official EE40 Easy Method)

The image cannot be displayed. Your computer may not have enough memory

The image cannot be displayed. Your computer may not

Input node Output node

ground

R

C Vin

Vout +

-

4) Solve the for asymptotic value of capacitor voltage. Hint: Capacitor eventually conducts no current (dV/dt dies out asymptotically).

5) Sketch the transient. It is 63% complete after one time constant.

6) Write the equation by inspection.

1) Simplify the circuit so it looks like one resistor, a source, and a capacitor (it will take another two weeks to learn all the tricks to do this.) But then the circuit looks like this:

Method of solving for any node voltage in a single capacitor circuit.

2) The time constant is τ = RC.

3) Solve for the capacitor voltage before the transient, Vout(t=0).

Page 24: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Example

The image cannot be displayed. Your

The image cannot be display

Input node Output node

ground

R

C Vin Vout +

-

R = 1kΩ, C = 1pF.

Assume Vin has been zero for a long time, then steps from zero to 10 V at t=0.

time

Vin

0 0

10

Vout

1 ns

6.3V

Vout(t) = 10 - 10e-t/1 ns

At t=0, since Vin has been constant for a long time, the circuit is in “steady-state”. Capacitor current is zero (since dV/dt = 0), so by KVL, Vout(t=0) = 0.

Asymptotically, the capacitor will have no current, so the capacitor voltage will be equal to Vin, 10 V (resistor will have 0 V). The time constant τ = RC = 1 ns.

We can plug into the equation and draw the graph à

Page 25: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

PULSE DISTORTION What if I want to step up the input,

wait for the output to respond,

then bring the input back down for a different response?

time

Vin

0 0

time

Vin

0 0

Vout

time

Vin

0 0

Vout

Page 26: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J

Input node Output node

ground

R

CVin +

-

O

The pulse width must be long enough, or we get severe pulse distortion.

We need to reach a recognizable logic level.

0 1 2 3 4 5 6

0 1 2 3 4 5 Time

Vout

PW = 0.1RC

0 1 2 3 4 5 6

0 1 2 3 4 5 Time

Vout

PW = RC

0 1 2 3 4 5 6

0 5 10 15 20 25 Time

Vo

ut

PW = 10RC

PULSE DISTORTION

Page 27: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 28: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 29: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 30: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 31: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 32: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 33: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 34: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 35: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 36: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 37: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J
Page 38: Elektrik Devreleri 1 - yunus.hacettepe.edu.tryunus.hacettepe.edu.tr/~bacioglu/FIZ202/ED1_5.pdf · The capacitor on the left is of a ceramic disc type capacitor that has the code 473J