SOLUTION: If the input voltage of an amplifier is 0.1 volts and the decile (db) voltage gain of the amplifier is 60db, find the maximum output voltage. Use the formula db gain= 20 log [E out

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If the input voltage of an amplifier is 0.1 volts and the decile (db) voltage gain of the amplifier is 60db, find the maximum output voltage. Use the formula db gain= 20 log [E out      Log On


   



Question 1128796: If the input voltage of an amplifier is 0.1 volts and the decile (db) voltage gain of the amplifier is 60db, find the maximum output voltage. Use the formula db gain= 20 log [E output/ E input].
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
If the input voltage of an amplifier is 0.1 volts and the decibel (db) voltage gain of the amplifier is 60db, find the maximum output voltage.
Use the formula db gain= 20 log [E output/E input].
:
let E = the output voltage
20%2Alog%28%28E%2F.1%29%29+=+60
divide both sides by 20
log%28%28E%2F.1%29%29+=+3
the exponent equiv of log
E%2F.1 = 10%5E3
E%2F.1 = 1000
multiply both sides by .1
E = 100 volts is the output
:
;
Check on your calc, enter 20%2Alog%28%28100%2F.1%29%29 yields 60