Overall Voltage Gain Of Amplifier When Load Resistance Is Connected To Output Calculator

Formula Used:

\[ A_v = \alpha \times \frac{(1/R_c + 1/R_L)^{-1}}{R_s + R_e} \]

Common-Base Current Gain (α):

(unitless)

Collector Resistance (Rc):

Load Resistance (RL):

Signal Resistance (Rs):

Emitter Resistance (Re):

Voltage Gain (Av):

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1. What is the Overall Voltage Gain Equation?

The overall voltage gain equation calculates the voltage amplification of an amplifier circuit when a load resistance is connected to the output. It takes into account the common-base current gain, collector resistance, load resistance, signal resistance, and emitter resistance.

2. How Does the Calculator Work?

The calculator uses the voltage gain equation:

\[ A_v = \alpha \times \frac{(1/R_c + 1/R_L)^{-1}}{R_s + R_e} \]

Where:

\( A_v \) — Voltage Gain (unitless)
\( \alpha \) — Common-Base Current Gain (unitless)
\( R_c \) — Collector Resistance (Ω)
\( R_L \) — Load Resistance (Ω)
\( R_s \) — Signal Resistance (Ω)
\( R_e \) — Emitter Resistance (Ω)

Explanation: The equation calculates the voltage gain by considering the parallel combination of collector and load resistances, divided by the sum of signal and emitter resistances, multiplied by the common-base current gain.

3. Importance of Voltage Gain Calculation

Details: Accurate voltage gain calculation is crucial for amplifier design, signal processing applications, and ensuring proper amplification of input signals without distortion.

4. Using the Calculator

Tips: Enter all resistance values in ohms (Ω). The common-base current gain α must be between 0 and 1. All resistance values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for common-base current gain α?
A: Common-base current gain α typically ranges from 0.95 to 0.995 for most transistors, as it represents the ratio of collector current to emitter current.

Q2: How does load resistance affect voltage gain?
A: Increasing load resistance generally increases voltage gain, as it reduces the loading effect on the amplifier output.

Q3: What is the purpose of emitter resistance?
A: Emitter resistance provides negative feedback, stabilizes the operating point, and prevents thermal runaway in the transistor.

Q4: Can signal resistance be zero?
A: In theory, yes, but in practical circuits, there's always some source impedance. A value of zero represents an ideal voltage source.

Q5: How does this differ from common-emitter voltage gain?
A: This formula is specifically for common-base configuration, which typically has voltage gain but no current gain, unlike common-emitter configuration.