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Straight line asymptotic Bode magnitude plot for a certain system is shown in the given figure. What will be its transfer function?
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4s 
1 + s 
1 + s 2 4 10 -
4 1 + s 4 1 + s 2 10 -
0.25 1 + s 1 + s 4 10 -
0.25 1 + s 1 + s 2 4 10
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Correct Option: D
Initially plot has a slope of + 20 dB/decade. So there must be zero at origin.
So, at ω = 4, slope changes to 0 dB/decade, so pole at ω = 4.
Again slope at ω = 10 changes to – 40 dB/decade, so there are two poles at ω = 10.
Now, 20 log | Kω| =0 at ω = 4.
∴ K = 0.25.
