An amplifier has a short-circuit current gain of 10 . When operated with a 50 . Ωload, the curre

step 1 In this problem I am drawing the circuit first. So just look at it carefully. After that I will

An amplifier has a short-circuit current gain of 10 . When...

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Key Concepts

Voltage Divider Effect

When an amplifier with a finite output resistance drives a load, the output resistance and the load resistor form a voltage divider. This divider determines the fraction of the ideal output signal that actually reaches the load. Using the voltage divider principle allows one to relate the unloaded (short-circuit) gain to the loaded gain, thereby enabling the determination of unknown parameters such as the output resistance.

Amplifier Current Gain

This concept refers to the ratio of the output current to the input current in an amplifier. The amplifier may exhibit different gains depending on the conditions: a short-circuit current gain (when the output is unloaded) versus the gain when an actual load is connected. Recognizing the difference is crucial for understanding how the amplifier performs under practical conditions versus its ideal operation.

Output Resistance

Output resistance is an intrinsic property of an amplifier that represents the resistance seen looking back into the amplifier’s output. It affects how the amplifier interacts with the load: a nonzero output resistance causes a voltage drop when a load is connected, thereby reducing the effective current or voltage delivered to the load. Determining the output resistance is key to predicting the real-world behavior of the amplifier.

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