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Problem 6.1 OPP
Prove that a magnitude slope of -1 in a Bode plot corresponds to -20 db per decade or -6 db 
per octave.
Step-by-step solution
step 1 of 1
Step 1 of 1
The m ^ i tu d e of G(jo)) in dB is obtained by multiplying 
the logarithm to the base 10 of |G (-j0)| by 20 
|G(jcD)|dB=2Caog|G(j(!))|
If |G ( - j . . ) |= t
201og]QK=201ogK,ffi
|G (jco) I dB=201 ogu,E-201ogjp(D 
Which has solpe of -20dB per decade 
Also if = 2c0i then it is called as Octave
since -201og2 = -6dB, the slope could also be expressed as-6dB/octave