Suppose that the current gain of the transistor in Fig....

Suppose that the current gain of the transistor in Fig. $40-43$ is $\beta=i_{\mathrm{C}} / i_{\mathrm{B}}=85 .$ If $R_{\mathrm{C}}=4.3 \mathrm{k} \Omega,$ calculate the ac output voltage for an ac input current of $2.0 \mu \mathrm{A}$.

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Key Concepts

Ohm's Law

Ohm’s Law states that the voltage across a resistor is equal to the product of the current flowing through it and its resistance (V = IR). In the context of the transistor circuit, the amplified collector current passing through the resistor R_C creates an ac output voltage, making Ohm’s Law the key principle for determining the magnitude of that voltage.

Transistor Current Gain (?)

Transistor current gain, denoted as ?, is a measure of how effectively a transistor amplifies the base current to produce a larger collector current. In this context, the input ac current is amplified by the factor ?, meaning that the small fluctuations in the base current generate proportionally larger changes in the collector current, which is a fundamental aspect of transistor operation in amplifier circuits.

Small-Signal Analysis

Small-signal analysis involves examining the behavior of electronic circuits under the assumption that the variations (signals) are small compared to the DC operating point. This approach linearizes the circuit response, allowing one to use simple proportional relationships, such as the current amplification (via ?) and Ohm’s Law, to predict the ac output voltage generated by small changes in the input current.

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