Solution+HW15 - Problem 7.59 The input signal in the op-amp...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Problem 7.59 The input signal in the op-amp circuit of Fig. P7.59 is given by v in ( t ) = . 5cos2000 t V . Obtain an expression for v out ( t ) and then evaluate it for R 1 = 2 k Ω , R 2 = 10 k Ω , and C = . 1 μ F. υ in ( t ) υ out R 1 R 2 C _ + _ + _ Figure P7.59: Op-amp circuit for Problem 7.59. Solution: I 1 V in V out _ + + _ I 1 I 2 I C- j / ω C I n = 0 V n = V p = 0 R 2 R 1 V in = . 5 ∠ ◦ V. Since V n = 0, I 1 = V in R 1 . Also, I 1 = I 2 + I C = V n − V out R 2 + V n − V out − j / ϖ C = − V out parenleftbigg 1 R 2 + j ϖ C parenrightbigg . Hence, V out = − parenleftbigg R 2 R 1 parenrightbiggparenleftbigg 1 1 + j ϖ R 2 C parenrightbigg V in = − parenleftbigg R 2 R 1 parenrightbigg 1 − j ϖ R 2 C 1 + ϖ 2 R 2 2 C 2 V in . For V in = . 5 V, R 1 = 2 k Ω , R 2 = 10 k Ω , ϖ = 2000 rad/s, and C = . 1 μ F, V out = − . 5 ( 1 − j 2 ) = . 5 √ 5 e j 180 ◦ · e − j 63 . 4 ◦ = 1 . 12 e j 116 . 6 ◦ V ....
View Full Document

This note was uploaded on 02/21/2011 for the course MSE 231 taught by Professor Bedford during the Spring '10 term at University of Michigan.

Page1 / 6

Solution+HW15 - Problem 7.59 The input signal in the op-amp...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online