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Common Mode Input Resistance of BJT Half-Circuit Formula

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Input Resistance is the resistance seen by the current source or voltage source which drives the circuit. Check FAQs

R in = (β \cdot R o) \cdot (\frac{1 + (\frac{R L}{β \cdot R o})}{1 + (\frac{R L + (2 \cdot R o)}{R o})})

R_in - Input Resistance?β - Common Emitter Current Gain?R_o - Output Resistance?R_L - Load Resistance?

Common Mode Input Resistance of BJT Half-Circuit Example

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Here is how the Common Mode Input Resistance of BJT Half-Circuit equation looks like with Values.

Here is how the Common Mode Input Resistance of BJT Half-Circuit equation looks like with Units.

Here is how the Common Mode Input Resistance of BJT Half-Circuit equation looks like.

29.017 = (65 \cdot 2.12) \cdot (\frac{1 + (\frac{4}{65 \cdot 2.12})}{1 + (\frac{4 + (2 \cdot 2.12)}{2.12})})

29.017kΩ = (65 \cdot 2.12kΩ) \cdot (\frac{1 + (\frac{4kΩ}{65 \cdot 2.12kΩ})}{1 + (\frac{4kΩ + (2 \cdot 2.12kΩ)}{2.12kΩ})})

29.017 = (65 \cdot 2.12) \cdot (\frac{1 + (\frac{4}{65 \cdot 2.12})}{1 + (\frac{4 + (2 \cdot 2.12)}{2.12})})

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Common Mode Input Resistance of BJT Half-Circuit Solution

Follow our step by step solution on how to calculate Common Mode Input Resistance of BJT Half-Circuit?

FIRST Step Consider the formula

R in = (β \cdot R o) \cdot (\frac{1 + (\frac{R L}{β \cdot R o})}{1 + (\frac{R L + (2 \cdot R o)}{R o})})

Next Step Substitute values of Variables

∴

R in = (65 \cdot 2.12kΩ) \cdot (\frac{1 + (\frac{4kΩ}{65 \cdot 2.12kΩ})}{1 + (\frac{4kΩ + (2 \cdot 2.12kΩ)}{2.12kΩ})})

Next Step Convert Units

∴

R in = (65 \cdot 2120Ω) \cdot (\frac{1 + (\frac{4000Ω}{65 \cdot 2120Ω})}{1 + (\frac{4000Ω + (2 \cdot 2120Ω)}{2120Ω})})

Next Step Prepare to Evaluate

∴

R in = (65 \cdot 2120) \cdot (\frac{1 + (\frac{4000}{65 \cdot 2120})}{1 + (\frac{4000 + (2 \cdot 2120)}{2120})})

Next Step Evaluate

∴

R in = 29016.9884169884Ω

Next Step Convert to Output's Unit

∴

R in = 29.0169884169884kΩ

LAST Step Rounding Answer

∴

R in = 29.017kΩ

Common Mode Input Resistance of BJT Half-Circuit Formula Elements

Variables

Input Resistance

Input Resistance is the resistance seen by the current source or voltage source which drives the circuit.

Symbol: R_in

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Input Resistance

Common Emitter Current Gain

Common emitter current gain is influenced by 2 factors: width of base region W, and relative dopings of base region and emitter region. Its range varies from 50-200.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be between 49 to 201.

Formulas to find Common Emitter Current Gain

Output Resistance

Output resistance is the value of resistance of the network.

Symbol: R_o

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Output 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

Other formulas in Common Mode Rejection Ratio (CMRR) category

Go Common Mode Rejection Ratio of BJT

CMRR = \frac{2 \cdot G m \cdot R o}{\frac{ΔR c}{R c}}

Go Common Mode Rejection Ratio

CMRR = 20 \cdot \log 10 (\frac{A d}{A cm})

How to Evaluate Common Mode Input Resistance of BJT Half-Circuit?

Common Mode Input Resistance of BJT Half-Circuit evaluator uses Input Resistance = (Common Emitter Current Gain*Output Resistance)*((1+(Load Resistance/(Common Emitter Current Gain*Output Resistance)))/(1+((Load Resistance+(2*Output Resistance))/Output Resistance))) to evaluate the Input Resistance, The Common mode input resistance of BJT half-circuit formula is defined as a metric used to quantify the ability of the device to reject common-mode signals, i.e. those that appear simultaneously and in phase on both inputs. Input Resistance is denoted by R_in symbol.

How to evaluate Common Mode Input Resistance of BJT Half-Circuit using this online evaluator? To use this online evaluator for Common Mode Input Resistance of BJT Half-Circuit, enter Common Emitter Current Gain (β), Output Resistance (R_o) & Load Resistance (R_L) and hit the calculate button.

FAQs on Common Mode Input Resistance of BJT Half-Circuit

What is the formula to find Common Mode Input Resistance of BJT Half-Circuit?

The formula of Common Mode Input Resistance of BJT Half-Circuit is expressed as Input Resistance = (Common Emitter Current Gain*Output Resistance)*((1+(Load Resistance/(Common Emitter Current Gain*Output Resistance)))/(1+((Load Resistance+(2*Output Resistance))/Output Resistance))). Here is an example- 0.029017 = (65*2120)*((1+(4000/(65*2120)))/(1+((4000+(2*2120))/2120))).

How to calculate Common Mode Input Resistance of BJT Half-Circuit?

With Common Emitter Current Gain (β), Output Resistance (R_o) & Load Resistance (R_L) we can find Common Mode Input Resistance of BJT Half-Circuit using the formula - Input Resistance = (Common Emitter Current Gain*Output Resistance)*((1+(Load Resistance/(Common Emitter Current Gain*Output Resistance)))/(1+((Load Resistance+(2*Output Resistance))/Output Resistance))).

Can the Common Mode Input Resistance of BJT Half-Circuit be negative?

Yes, the Common Mode Input Resistance of BJT Half-Circuit, measured in Electric Resistance can be negative.

Which unit is used to measure Common Mode Input Resistance of BJT Half-Circuit?

Common Mode Input Resistance of BJT Half-Circuit is usually measured using the Kilohm[kΩ] for Electric Resistance. Ohm[kΩ], Megohm[kΩ], Microhm[kΩ] are the few other units in which Common Mode Input Resistance of BJT Half-Circuit can be measured.

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Common Mode Input Resistance of BJT Half-Circuit Formula

Common Mode Input Resistance of BJT Half-Circuit Example

Common Mode Input Resistance of BJT Half-Circuit Solution

Common Mode Input Resistance of BJT Half-Circuit Formula Elements

Other formulas in Common Mode Rejection Ratio (CMRR) category

How to Evaluate Common Mode Input Resistance of BJT Half-Circuit?

FAQs on Common Mode Input Resistance of BJT Half-Circuit

Variable Name