Lag Compensator Find Value of 'a'

jaus tail · Jan 17, 2018

Homework Statement

Circuit schematic of a lag compensator: 10 kΩ series resistor from Vi(s) input, then 5 kΩ resistor in parallel with C = 100 µF capacitor to Vo(s) output; below, transfer function Vo(s)/Vi(s) = (1/a)(s + 1/T)/(s + 1/(aT)), and multiple choice for a: (A) 3, (B) 1.5, (C) 1/3, (D) 1/1.5.

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Homework Equations

I used voltage divider rule.

The Attempt at a Solution

$Handwritten derivation on lined paper of a lag compensator transfer function, showing a resistor and capacitor network with 10k and 1000 labels, and simplified fractions in s with 15s+1 and 5s+1 terms, ending with a = 3.$

I get value of a = 3
Book answer is 1.5.
Is book wrong or am I wrong?

NascentOxygen · Jan 17, 2018

Your answer is correct.

Were the resistor values to be swapped, the answer becomes 1.5

Lag Compensator Find Value of 'a'

Homework Statement

Homework Equations

The Attempt at a Solution

Discussion

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