Question
Asked Dec 3, 2019
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1. Sketch the magnitude characteristic of H(jw).
10 jo
H(ja)
(ja+1)(j + 10)
Sketch the magnitude characteristic of H(ja).
100 ja
H(ja) =
(ja +1)j10) (ja +50)
Sketch the magnitude characteristic of H(ja).
10ja+1
H(ja)
1
jw (0.01j+1)
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1. Sketch the magnitude characteristic of H(jw). 10 jo H(ja) (ja+1)(j + 10) Sketch the magnitude characteristic of H(ja). 100 ja H(ja) = (ja +1)j10) (ja +50) Sketch the magnitude characteristic of H(ja). 10ja+1 H(ja) 1 jw (0.01j+1)

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Expert Answer

Step 1

We are authorized to answer one question at a time, since you have not mentioned which question you are looking for, so we are answering the first one, please repost your other question separately if you want to get answered.

Step 2

For sketching the magnitude characteristics graph for the given transfer function, firstly write it in the pole zero form to calculate the pole and zero of the given function:

10 jo
H(jo)
(jo+1(jo+10)
10 jc
H(jo)
jo
1
(jo+1)10
10
0.1j
...1)
H(jo) =
jc
(jo+1
+1
10
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10 jo H(jo) (jo+1(jo+10) 10 jc H(jo) jo 1 (jo+1)10 10 0.1j ...1) H(jo) = jc (jo+1 +1 10

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Step 3

From the above equation, the position of poles and zeroes.

Three poles are at 1, 10, 10 and one zero is at 0.

Where, the zeroes contribute in positive 20-De...

20log K C
Where
Constant of the transfer function
K
K 0.1
Hence
C 20log0.1
20(-1)
=-20dB
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20log K C Where Constant of the transfer function K K 0.1 Hence C 20log0.1 20(-1) =-20dB

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