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Small Signal Input Resistance Formula

GoInput Resistance of Mosfet Formula

GoInput Resistance given Transconductance Formula

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The Input Resistance is the resistance seen at the base terminal of the transistor. Check FAQs

r π = \frac{V i}{i b}

r_π - Input Resistance?V_i - Input Voltage?i_b - Base Current?

Small Signal Input Resistance Example

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Here is how the Small Signal Input Resistance equation looks like with Values.

Here is how the Small Signal Input Resistance equation looks like with Units.

Here is how the Small Signal Input Resistance equation looks like.

1.6935 = \frac{2.1}{1.24}

1.6935Ω = \frac{2.1V}{1.24A}

1.6935 = \frac{2.1}{1.24}

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Small Signal Input Resistance Solution

Follow our step by step solution on how to calculate Small Signal Input Resistance?

FIRST Step Consider the formula

r π = \frac{V i}{i b}

Next Step Substitute values of Variables

∴

r π = \frac{2.1V}{1.24A}

Next Step Prepare to Evaluate

∴

r π = \frac{2.1}{1.24}

Next Step Evaluate

∴

r π = 1.69354838709677Ω

LAST Step Rounding Answer

∴

r π = 1.6935Ω

Small Signal Input Resistance Formula Elements

Variables

Input Resistance

The Input Resistance is the resistance seen at the base terminal of the transistor.

Symbol: r_π

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Input Resistance

Input Voltage

The Input Voltage is the voltage applied to the base terminal. It is the voltage difference between the base terminal and the emitter terminal of the transistor.

Symbol: V_i

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage

Base Current

The Base Current s the current that flows into the base terminal. It is the current that controls the collector current of the transistor.

Symbol: i_b

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Base Current

Other Formulas to find Input Resistance

Go Input Resistance of Mosfet

r π = \frac{V i}{i c \cdot β 0}

Go Input Resistance given Transconductance

r π = \frac{β 0}{g m}

Other formulas in Resistance category

Go MOSFET as Linear Resistance given Aspect Ratio

R ds = \frac{L}{μ s \cdot C ox \cdot W c \cdot V eff}

Go Electron Mean Free Path

λ = \frac{1}{R out \cdot i d}

Go Drain Output Resistance

R out = \frac{1}{λ \cdot i d}

Go Finite Resistance between Drain and Source

R fi = mod \underset{̲}{u} s \frac{V a}{i d}

How to Evaluate Small Signal Input Resistance?

Small Signal Input Resistance evaluator uses Input Resistance = Input Voltage/Base Current to evaluate the Input Resistance, The Small Signal Input Resistance formula is defined as the resistance that it presents to a small signal input signal. It is defined as the ratio of the change in input voltage to the change in input current, when the input voltage is changed by a small amount. Input Resistance is denoted by r_π symbol.

How to evaluate Small Signal Input Resistance using this online evaluator? To use this online evaluator for Small Signal Input Resistance, enter Input Voltage (V_i) & Base Current (i_b) and hit the calculate button.

FAQs on Small Signal Input Resistance

What is the formula to find Small Signal Input Resistance?

The formula of Small Signal Input Resistance is expressed as Input Resistance = Input Voltage/Base Current. Here is an example- 1.693548 = 2.1/1.24.

How to calculate Small Signal Input Resistance?

With Input Voltage (V_i) & Base Current (i_b) we can find Small Signal Input Resistance using the formula - Input Resistance = Input Voltage/Base Current.

What are the other ways to Calculate Input Resistance?

Here are the different ways to Calculate Input Resistance-

Input Resistance=Input Voltage/(Collector Current*Small Signal Current Gain)
Input Resistance=Small Signal Current Gain/Transconductance

Can the Small Signal Input Resistance be negative?

No, the Small Signal Input Resistance, measured in Electric Resistance cannot be negative.

Which unit is used to measure Small Signal Input Resistance?

Small Signal Input Resistance is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Small Signal Input Resistance can be measured.

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: Value
: Unit

Small Signal Input Resistance Formula

​GoInput Resistance of Mosfet Formula

​GoInput Resistance given Transconductance Formula

Small Signal Input Resistance Example

Small Signal Input Resistance Solution

Small Signal Input Resistance Formula Elements

Other Formulas to find Input Resistance

Other formulas in Resistance category

How to Evaluate Small Signal Input Resistance?

FAQs on Small Signal Input Resistance

Variable Name

GoInput Resistance of Mosfet Formula

GoInput Resistance given Transconductance Formula