Engineering How to calculate gain in a circuit

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To calculate the voltage gain in the circuit, first determine Vout in relation to Vin using a voltage divider approach. For part (a), the voltage gain can be expressed as Vout/Vin based on the circuit parameters. In part (b), the overall voltage gain Vout/Vsource requires finding Vin from the known source voltage. The discussion emphasizes the importance of simplifying resistor combinations to facilitate these calculations. Understanding these relationships is crucial for accurately determining gain in the circuit.
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http://imgur.com/K5nPY

a) Determine the voltage gain of the amplifier, Vout / Vin, in terms of the parameters in the given circuit.

b) Determine the overall voltage gain between the source and the output, Vout / Vsourse, in terms of the parameters in the given circuit.

Attempt at Solution:

I attempted condensing the resistors.
(Ro * Rl) / (Ro + Rl) becomes the new resistor on the right side.
[ (Rb * Rin) / (Rb + Rin) ] + Rs becomes the new resistor on the left side.

After this I am lost. Can anyone help me out here?
 
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DreamSanchez said:
http://imgur.com/K5nPY

a) Determine the voltage gain of the amplifier, Vout / Vin, in terms of the parameters in the given circuit.

b) Determine the overall voltage gain between the source and the output, Vout / Vsourse, in terms of the parameters in the given circuit.

Attempt at Solution:

I attempted condensing the resistors.
(Ro * Rl) / (Ro + Rl) becomes the new resistor on the right side.
[ (Rb * Rin) / (Rb + Rin) ] + Rs becomes the new resistor on the left side.

After this I am lost. Can anyone help me out here?

Hi DreamSanchez, Welcome to Physics Forums.

For part (a), since you are to assume that Vin is a given, then surely you can find an expression for Vout? Looks like a simple voltage divider to me...

For part (b) you do essentially the same thing, only here you need to find Vin first given that Vsource is known.
 

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