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why 20logA is used as voltage gain and 10logA is used as
power gain

Answer Posted / akshay bisht

For higher values of gain we seek the help of log scale..in terms of bels. But more oftenly decibel is considered to be a better unit than bel. So if simple gain is (a/b) then gain (in bels) is log(a/b) and in decibel it become 10log(a/b)as deci means 10.
Now any quantity X for which power is directly proportional to X its gain is shown as 10log(a/b).e.g. Power itself and Luminous Intensity...
On the other hand any quantity Y for which Power is proportional to square of Y,will have its gain(in decibels) like 10log(a^2/b^2)...This square term will come ahead and gain become...20log(a/b)..
Hv any doubt u are welcome to mail me at(akkinitj@gmail.com)

[NIT JALANDHAR]

Some of similar quantities are..Volatge and Current..

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