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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
[itex]\alpha[/itex][dB]=20log[itex]_{10}[/itex](I[itex]_{out}[/itex]/I[itex]_{in}[/itex])
current ratio [itex]\alpha[/itex]=15dB, Iin=250mA=0.25A
I[itex]_{out}[/itex]=I[itex]_{in}[/itex]x10[itex]^\frac{\alpha [dB]}{20}[/itex]==0.25x100.75
Iout=0.25x5.623=1.406A
1 Np ≡ 20 / ln(10) = 8.685889638 dB
[itex]\alpha[/itex][Np]=[itex]\alpha[/itex][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
[itex]\alpha[/itex][dB]=20log[itex]_{10}[/itex](I[itex]_{out}[/itex]/I[itex]_{in}[/itex])
The Attempt at a Solution
current ratio [itex]\alpha[/itex]=15dB, Iin=250mA=0.25A
I[itex]_{out}[/itex]=I[itex]_{in}[/itex]x10[itex]^\frac{\alpha [dB]}{20}[/itex]==0.25x100.75
Iout=0.25x5.623=1.406A
1 Np ≡ 20 / ln(10) = 8.685889638 dB
[itex]\alpha[/itex][Np]=[itex]\alpha[/itex][dB]/8.686=1.727Np
Homework Statement
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