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The current input of a system is 250mA. If the current ratio of the system is 15dB , determine (i) the current output and (ii) the current ratio expressed in nepers
\alpha[dB]=20log_{10}(I_{out}/I_{in})
current ratio \alpha=15dB, Iin=250mA=0.25A
I_{out}=I_{in}x10^\frac{\alpha [dB]}{20}==0.25x100.75
Iout=0.25x5.623=1.406A
1 Np ≡ 20 / ln(10) = 8.685889638 dB
\alpha[Np]=\alpha[dB]/8.686=1.727Np
Homework Statement
The current input of a system is 250mA. If the current ratio of the system is 15dB , determine (i) the current output and (ii) the current ratio expressed in nepers
Homework Equations
\alpha[dB]=20log_{10}(I_{out}/I_{in})
The Attempt at a Solution
current ratio \alpha=15dB, Iin=250mA=0.25A
I_{out}=I_{in}x10^\frac{\alpha [dB]}{20}==0.25x100.75
Iout=0.25x5.623=1.406A
1 Np ≡ 20 / ln(10) = 8.685889638 dB
\alpha[Np]=\alpha[dB]/8.686=1.727Np
Homework Statement
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