applied electronic circuit
DESCRIPTION
APPLIED ELECTRONIC CIRCUIT. 김서주 김혜리 유예림 차온유 홍주영. APPLIED ELECTRONIC CIRCUIT. Complex Exponential. the real part the imaginary part the magnitude of z atan2( y , x ). Euler's formula. APPLIED ELECTRONIC CIRCUIT. - PowerPoint PPT PresentationTRANSCRIPT
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
1 차온유
APPLIEDELECTRONIC
CIRCUIT김서주김혜리 유예림차온유홍주영
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
2 차온유
Complex Exponential
APPLIED ELECTRONIC CIRCUIT
the real part
the imaginary part
the magnitude of z
atan2(y, x) Euler's for-mula
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
3 차온유
APPLIED ELECTRONIC CIRCUIT
𝐴1𝑒𝑗 𝜃1=𝑧1
𝐴2𝑒𝑗 𝜃2=𝑧 2
𝐴2𝑐𝑜𝑠 𝜃2𝐴1𝑐𝑜𝑠 𝜃1
𝐴2𝑠𝑖𝑛𝜃2
𝐴1𝑠𝑖𝑛𝜃1
선형 시스템 (Linear Sys-tem)
크기 와 위상 이 달라진다 ! 주파수 는 그대로 !
H
시스템의 특성을 복소수로 표현( 해석방법이 간단해 진다 !)
기억하기 !
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
4 차온유
Phasor ( 위상자 )
APPLIED ELECTRONIC CIRCUIT
Amplitude( 진폭 ) 와 Phase Angle( 위상각 ) 에 대한 정보를 가진 complex num-ber( 복소수 )
Time Function Phasor
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
5 차온유
APPLIED ELECTRONIC CIRCUIT
* Phasor 에서 Time function 을 구하는 방법
𝐴𝑒 𝑗 𝜃×𝑒 𝑗 𝜔𝑡
Phasor
Time function Phasor
𝐴𝑐𝑜𝑠𝜔𝑡→𝐻𝑒 𝑗 𝜃→𝐴𝐻𝑐𝑜𝑠 (𝜔𝑡+𝜃 )
𝐴𝑒 𝑗 0 °×𝐻𝑒 𝑗𝜃=𝐴𝐻 𝑒 𝑗𝜃입력의 Phasor 전달함수 = 출력의 Phasor
Re{ 입력의 Phasor 전달함수 }= 출력
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
6 차온유
위상자를 이용한 임피던스 정의 (definition of impedance using phasor)
APPLIED ELECTRONIC CIRCUIT
Pha-sor
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
7 차온유
Differentiator ( 미분기 )
APPLIED ELECTRONIC CIRCUIT
+
-
O U T
𝑉 𝑖
𝑉 𝑜
𝑅
𝐶
𝑖1
𝑖2
0𝑉
0𝑉
𝐶𝑑𝑉 𝑖
𝑑𝑡+𝑉𝑜
𝑅=0→𝑉 𝑜=−𝑅𝐶
𝑑𝑉 𝑖
𝑑𝑡
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
8 차온유
APPLIED ELECTRONIC CIRCUIT
* Phasor 에서 미분기 해석 방법
+
-
O U T
𝐕𝑖 𝑅
0𝑉𝐕𝑜
𝐈2
𝐈10𝑉
1𝑗 𝜔𝑐
𝐈1=𝐕𝑖
1𝑗 𝜔𝑐
,𝐈2=𝐕𝑜
𝑅
통째로 하나의 저항인 것처럼 다룬다 !
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
9 차온유
APPLIED ELECTRONIC CIRCUIT
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
10 차온유
Integrator ( 적분기 )
APPLIED ELECTRONIC CIRCUIT
+
-
O U T
𝐕𝑖
𝐕𝑜
𝐈1
𝑅1
𝑅2
𝐶𝐈2
𝐈3
𝐈4=0
𝐈1+𝐈2+𝐈3=0
𝐕𝑜=−1𝑅1
11𝑅2
+ 𝑗 𝜔𝑐𝐕 𝑖=−
𝑅2
𝑅1
11+ 𝑗 𝜔𝑅2𝑐
𝐕 𝑖
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
11 차온유
Bode Plot
APPLIED ELECTRONIC CIRCUIT
20 log|𝐇|=20 log𝑅2
𝑅1
1
√1+𝜔2𝑅22𝐶2
1.
2.
3.
20 log|𝐻|
20 log𝑅2
𝑅1
𝜔1log𝜔
𝟑𝒅𝑩
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
12 차온유
APPLIED ELECTRONIC CIRCUIT
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
13 차온유
8. NRC (Negative Resistance Converter)
APPLIED ELECTRONIC CIRCUIT
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
14 차온유
APPLIED ELECTRONIC CIRCUIT
참고 ) Negative impedance circuits
Negative impedance circuit
Negative resistance circuit
Negative capacitance circuit
Negative inductance circuit
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
15 차온유
APPLIED ELECTRONIC CIRCUIT
OP AMP 회로에 전원 공급 방법
+
-
O U T
+
-
O U T
𝑉 𝑐𝑐
𝑉 𝐸𝐸
+𝑉 𝑐𝑐
−𝑉 𝐸𝐸
0.1𝜇𝐹
0.1𝜇𝐹
0.1𝜇𝐹
0.1𝜇𝐹
10𝜇𝐹
10𝜇𝐹
잡음 제거
BYPASS CAPACITER OR DECOMPLING CAPACITER교류를 bypass 교류와 직류를 분리
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
16 차온유
OP AMP 회로에 흐르는 전류
APPLIED ELECTRONIC CIRCUIT
𝑖𝐸𝐸
𝑖𝐶𝐶𝑖𝑂
𝑖𝑂
(OP AMP 가 부하로 부터 전류를 sink)
(OP AMP 가 부하에게 전류를 source)
𝒊𝑶=𝟎일때 , 𝒊𝑪𝑪=𝒊𝑬𝑬= 𝑰𝑸
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
17 차온유
저전력 OP AMP
APPLIED ELECTRONIC CIRCUIT
+
-
O U T
𝑉 𝑖
𝑉 𝑜
Non-inverting Amp
가 작은 OP AMP
Source
Sink
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
18 차온유
APPLIED ELECTRONIC CIRCUIT
+
-
O U T
𝑉 𝑖
𝑉 𝑜
Inverting Amp
Source
Sink
Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.
19 차온유
APPLIED ELECTRONIC CIRCUIT
𝑉 𝐶𝐶
𝑉 𝐸𝐸
𝑖𝐶𝐶
𝑖𝐸𝐸 𝐼𝑄
Source
Sink
𝒊𝑪𝑪>𝒊𝑬𝑬𝒊𝑪𝑪<𝒊𝑬𝑬
방향
방향