ECE/ENGRD 2100

Introduction to Circuits for ECE

Lecture 33

Additional Dynamic Op-Amp Circuits

ECE/ENGRD 2100 2

Announcements

• Recommended Reading:– Textbook Chapter 7.7 and Chapter 8.5

• Upcoming due dates:– Lab report 5 due by 11:59 pm on Friday April 19, 2019– Homework 5 due by 11:59 pm on Friday April 26, 2019– Prelab 6 due by 11:59 pm on Friday April 26, 2019

ECE/ENGRD 2100 3

Differentiation – First Attempt

𝑣"# 𝑡 𝑣%&' 𝑡𝑑𝑑𝑡

ECE/ENGRD 2100 4

Differentiation – Second Attempt

𝑣"# 𝑡 𝑣%&' 𝑡𝑑𝑑𝑡

ECE/ENGRD 2100 5

Current-to-Voltage Conversion using Op-Amp

+

−

𝑖"#−

+𝑣%&'

R

ECE/ENGRD 2100 6

Better Differentiation

𝑣"# 𝑡 𝑣%&' 𝑡𝑑𝑑𝑡

+

−

𝑣"#−

+𝑣%&'

ECE/ENGRD 2100 7

Integration – First Attempt

𝑣"# 𝑡 𝑣%&' 𝑡- 𝑑𝑡.

/0

ECE/ENGRD 2100 8

Integration – Second Attempt

𝑣"# 𝑡 𝑣%&' 𝑡- 𝑑𝑡.

/0

ECE/ENGRD 2100 9

Voltage-to-Current Conversion using Op-Amp

+

−

𝑣"#−

+𝑣%&'

R

ECE/ENGRD 2100 10

Better Integration

𝑣"# 𝑡 𝑣%&' 𝑡- 𝑑𝑡.

/0

+

−

𝑣"#−

+𝑣%&'

ECE/ENGRD 2100 11

Negative Impedance Converter (NIC)

+

−V2"#−

+V2%&'

R3

R4Z

ECE/ENGRD 2100 12

Ideal Oscillator using NIC

+

−

R4

R4R

ECE/ENGRD 2100 13

Gyrator using NIC

+

−R4

R4R+

−

R4

R4R

Z

R

ECE/ENGRD 2100 14

Gyrator using NIC (Cont.)

+

−R4

R4R+

−

R4

R4R

Z

R