Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

1 최법경

Applied Electronic Circuit

Report 32010103819

최법경

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

2 최법경

Contents• Complex number calculation

• Complex Exponential• Linear system• Phasor• RC-circuit • Defferentiator • Integrator

• Bode plot

• Negative Resistance Converter

• supplying source into Op Amp circuit

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

3 최법경

Complex number calculation• Complex Exponential

• ( 단위시간당 도는 정도 )• If w=const( 정해졌다면 )

(rcoswt, rsinwt)=rcoswt+jrsinwt →

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

4 최법경

Complex number calculation𝑧1+𝑧 2

𝑧1−𝑧 2 𝑧1

𝑧 2

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

5 최법경

Complex number calculation• Linear system

x(t) H y(t)

𝐻 (𝑎1𝑥1+𝑎2𝑥2 )=𝑎1 𝑦1+𝑎2 𝑦2

Acoswt H AH-coswt

크기 , 위상만 바뀐다 .

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

6 최법경

Complex number calculation• Phasor

Time function PhasorAcoswt 0

Acos(wt+)

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

7 최법경

Complex number calculation• Phasor 에서 time function 구하기

Time function Phasor

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

8 최법경

Complex number calculation

Acoswt H Ahcos(wt+

Re{ 입력의 phasor 전달함수 }=> 출력

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

9 최법경

Complex number calculation• RC-circuit

• ∠0•

V

C

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

10 최법경

Complex number calculation• Differentiator ( 미분기 )

𝑣 𝑖

𝑖1

𝑖2

𝑣𝑜

+3

-2

V +8

V -4

O U T1

0

C R

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

11 최법경

+3

-2

V +8

V -4

O U T1

0

C R

Complex number calculation• Differentiator phasor

• ∠0

𝑣 𝑖

𝑖1

𝑖2

𝑣𝑜

1𝑗𝑤𝑐

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

12 최법경

Complex number calculation• |H|

• H

wRC

w

wRC

w

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

13 최법경

Complex number calculation• 실제 쓰이는 미분기 회로

𝑅1

𝑅2

0.707

미분기 반전증폭기

1𝑅𝐶

− π2

− π4

High pass filter

+3

-2

V +8

V -4

O U T1

0

R 1 C R 2

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

14 최법경

Complex number calculation• Integrator

• 반전 증폭기이기 때문에 만큼 shift

+3

-2

V +8

V -4

O U T1

0

CR

𝐼 1𝐼 2

𝐼 3

0.707

1𝑅𝐶

− π4

− π2

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

15 최법경

Bode plot

20 𝑙𝑜𝑔10∨𝐻∨¿

log 10𝑤

3dB기울기 =20dB/decW 가 10 배 늘어나면 20 씩 떨어진다 .

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

16 최법경

• 인 를 이라하고

Bode plot

상수

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

17 최법경

Negative Resistance Converter(NCR)

+3

-2

V+8

V -4

O U T1

R 2R 1

R 3

0

𝐼 𝑖

𝑣 𝑖

𝑅𝑖=𝑣 𝑖

𝑖𝑖=−𝑅𝑟𝑞

0

𝑖𝑖𝑣 𝑖

𝑅𝑒𝑞1V -1V

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

18 최법경

supplying source into Op Amp cir-cuit

V c c

V ee0

C 1

C 2

+3

-2

V +8

V -4

O U T1

+5

-6

V +8

V -4

O U T7

0 0

0 0

Bypass ca-pacitor

+=Decoupling Capaci-tor

Capacitor 는 고주파에서 short 상태 이므로 노이즈를 제거 할 수 있다 .

+

+

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

19 최법경

supplying source into Op Amp cir-cuit• Op Amp 에 흐르는 전류

• Op Amp 가 부하에게 전류 공급 .

• Op Amp 가 부하로 부터 전류를 Sink.

• 저전력 Op Amp 는 Op Amp

+3

-2

V +8

V -4

O U T1

𝑖𝑐𝑐

𝑖𝑒𝑒

𝑖𝑜

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

20 최법경

+3

-2

V +8

V-

4

O U T1

R 1

R

R 2

R

R 3

0

0

supplying source into Op Amp cir-cuit

𝑖𝑜𝑖𝑐𝑐

𝑖𝑒𝑒

𝑣𝑜>0𝑣 𝑖>0

𝑣 𝑖<0 𝑣𝑜>0

+3

-2

V +8

V-

4

O U T1

R 1

R

R 2

R

R 3

0

0

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

21 최법경

+3

-2

V +8

V-

4

O U T1

0

0

+3

-2

V +8

V-

4

O U T1

0

0

supplying source into Op Amp cir-cuit

𝑣 𝑖>0

𝑣 𝑖<0

𝑣𝑜<0

𝑣𝑜<0

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

22 최법경

supplying source into Op Amp cir-cuit

0

𝑣𝑒𝑒

𝑣𝑐𝑐

𝐼𝑄