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Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Formula

GoVoltage Gain given Collector Current Formula

GoVoltage Gain given all Voltages Formula

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Voltage gain is defined as the ratio of the output voltage to the input voltage. Check FAQs

A v = α \cdot \frac{{(\frac{1}{R c} + \frac{1}{R L})}^{- 1}}{R s + R e}

A_v - Voltage Gain?α - Common-Base Current Gain?R_c - Collector Resistance?R_L - Load Resistance?R_s - Signal Resistance?R_e - Emitter Resistance?

Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Example

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Here is how the Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output equation looks like with Values.

Here is how the Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output equation looks like with Units.

Here is how the Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output equation looks like.

3.2313 = 0.985 \cdot \frac{{(\frac{1}{3.75} + \frac{1}{4})}^{- 1}}{0.24 + 0.35}

3.2313dB = 0.985 \cdot \frac{{(\frac{1}{3.75kΩ} + \frac{1}{4kΩ})}^{- 1}}{0.24kΩ + 0.35kΩ}

3.2313 = 0.985 \cdot \frac{{(\frac{1}{3.75} + \frac{1}{4})}^{- 1}}{0.24 + 0.35}

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Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Solution

Follow our step by step solution on how to calculate Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output?

FIRST Step Consider the formula

A v = α \cdot \frac{{(\frac{1}{R c} + \frac{1}{R L})}^{- 1}}{R s + R e}

Next Step Substitute values of Variables

∴

A v = 0.985 \cdot \frac{{(\frac{1}{3.75kΩ} + \frac{1}{4kΩ})}^{- 1}}{0.24kΩ + 0.35kΩ}

Next Step Convert Units

∴

A v = 0.985 \cdot \frac{{(\frac{1}{3750Ω} + \frac{1}{4000Ω})}^{- 1}}{240Ω + 350Ω}

Next Step Prepare to Evaluate

∴

A v = 0.985 \cdot \frac{{(\frac{1}{3750} + \frac{1}{4000})}^{- 1}}{240 + 350}

Next Step Evaluate

∴

A v = 3.23127392017496dB

LAST Step Rounding Answer

∴

A v = 3.2313dB

Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Formula Elements

Variables

Voltage Gain

Voltage gain is defined as the ratio of the output voltage to the input voltage.

Symbol: A_v

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Formulas to find Voltage Gain

Common-Base Current Gain

Common-base current gain α is related to β common-emitter current gain and its value is less than 1 because collector current is always less than emitter current due to recombination of electrons.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Common-Base Current Gain

Collector Resistance

Collector Resistance (Rc)helps to set the transistor at the "operating point" of the amplifier. The purpose of the emitter resistor Re is to prevent "thermal runaway".

Symbol: R_c

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Collector Resistance

Load Resistance

Load Resistance is the external resistance or impedance that is connected to the output of a circuit or device, and it is used to extract power or signal from the circuit.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Load Resistance

Signal Resistance

Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.

Symbol: R_s

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Signal Resistance

Emitter Resistance

Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.

Symbol: R_e

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Emitter Resistance

Other Formulas to find Voltage Gain

Go Voltage Gain given Collector Current

A v = - (\frac{I c}{V t}) \cdot R c

Go Voltage Gain given all Voltages

A v = - \frac{V DD - V CE}{V t}

Go Voltage Gain given Transconductance and Collector Resistance

A v = - G m \cdot R c

Go Overall Voltage Gain given Load Resistance of BJT

A v = - G m \cdot (\frac{R c \cdot R L}{R c + R L})

Other formulas in Amplification Factor or Gain category

Go Short-Circuit Current Gain

A i = \frac{I o}{I in}

Go Open Circuit Voltage Gain given Open Circuit Transresistance

A = \frac{R m}{R in}

Go Amplification Factor of BJT

µ f = (\frac{I c}{V th}) \cdot (\frac{V cc + V CE}{I c})

Go Common Mode Gain of BJT

A cm = - (\frac{R c}{2 \cdot R o}) \cdot (\frac{ΔR c}{R c})

How to Evaluate Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output?

Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output evaluator uses Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance) to evaluate the Voltage Gain, The Overall voltage gain of amplifier when load resistance is connected to output formula is defined as ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in), gain is naturally unitless measurement. Voltage Gain is denoted by A_v symbol.

How to evaluate Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output using this online evaluator? To use this online evaluator for Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output, enter Common-Base Current Gain (α), Collector Resistance (R_c), Load Resistance (R_L), Signal Resistance (R_s) & Emitter Resistance (R_e) and hit the calculate button.

FAQs on Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output

What is the formula to find Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output?

The formula of Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output is expressed as Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance). Here is an example- 3.231274 = 0.985*(1/3750+1/4000)^-1/(240+350).

How to calculate Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output?

With Common-Base Current Gain (α), Collector Resistance (R_c), Load Resistance (R_L), Signal Resistance (R_s) & Emitter Resistance (R_e) we can find Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output using the formula - Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance).

What are the other ways to Calculate Voltage Gain?

Here are the different ways to Calculate Voltage Gain-

Voltage Gain=-(Collector Current/Thermal Voltage)*Collector Resistance
Voltage Gain=-(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage
Voltage Gain=-Transconductance*Collector Resistance

Can the Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output be negative?

Yes, the Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output, measured in Sound can be negative.

Which unit is used to measure Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output?

Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output is usually measured using the Decibel[dB] for Sound. Bel[dB], Neper[dB] are the few other units in which Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output can be measured.

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Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Formula

​GoVoltage Gain given Collector Current Formula

​GoVoltage Gain given all Voltages Formula

Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Example

Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Solution

Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output Formula Elements

Other Formulas to find Voltage Gain

Other formulas in Amplification Factor or Gain category

How to Evaluate Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output?

FAQs on Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output

Variable Name

GoVoltage Gain given Collector Current Formula

GoVoltage Gain given all Voltages Formula