(See attached file for full problem description with proper symbols)
N = 10log
And the power is given by
Show that for matched input and output resistances the output voltage Vo is related to the input voltage Vi by:
Vo = Vi10
If N is increased by 6db, show that the output voltage is approximately doubled for the same input. Following to polar form giving the arguments in degrees
2/ convert the Following to polar form giving the arguments in degrees:
a/ 4 - j2.4
b/ -5.1 + j1.7.
Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using Brainmass.
It is given that P = V^2 / R
Let Po = Vo^2 / R and Pi = Vi^2 / R
Substituting in (1),
N = 10 log[(Vo^2 / R) / Vi^2 / R]
N = 10 log[(Vo^2 / Vi^2 ]
N = 10 log (Vo /Vi)^2 = 20 log (Vo/Vi)
N = 20 log ...
I have answered two questions. One involves the logarithmic formula for amplitude ratio. The other involves the writing of complex numbers and their polar form.