Small-Signal Input Resistance between Base and Emitter using Base Current Calculator

✖Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals.ⓘ Threshold Voltage [V_th]			+10% -10%
✖Base Current is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on.ⓘ Base Current [I_B]			+10% -10%

✖Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.ⓘ Small-Signal Input Resistance between Base and Emitter using Base Current [R_s]

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Formula

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Small-Signal Input Resistance between Base and Emitter using Base Current

Formula

`"R"_{"s"} = "V"_{"th"}/"I"_{"B"}`

Example

`"71.42857kΩ"="5.50V"/"0.077mA"`

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Small-Signal Input Resistance between Base and Emitter using Base Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Signal Resistance = Threshold Voltage/Base Current
R_s = V_th/I_B
This formula uses 3 Variables

Variables Used

Signal Resistance - (Measured in Ohm) - Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.
Threshold Voltage - (Measured in Volt) - Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals.
Base Current - (Measured in Ampere) - Base Current is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on.

STEP 1: Convert Input(s) to Base Unit

Threshold Voltage: 5.5 Volt --> 5.5 Volt No Conversion Required
Base Current: 0.077 Milliampere --> 7.7E-05 Ampere (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_s = V_th/I_B --> 5.5/7.7E-05

Evaluating ... ...

R_s = 71428.5714285714

STEP 3: Convert Result to Output's Unit

71428.5714285714 Ohm -->71.4285714285714 Kilohm (Check conversion here)

FINAL ANSWER

71.4285714285714 ≈ 71.42857 Kilohm <-- Signal Resistance

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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Small-Signal Input Resistance between Base and Emitter using Base Current

Go Signal Resistance = Threshold Voltage/Base Current

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Small-Signal Input Resistance given Emitter Current

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Small-Signal Input Resistance between Base and Emitter

Go Signal Resistance = Input Voltage/Base Current

Small-Signal Input Resistance between Base and Emitter using Base Current Formula

Signal Resistance = Threshold Voltage/Base Current
R_s = V_th/I_B

Why input resistance of a transistor is low?

While using a transistor, the emitter-base junction is always forward biased and the collector-base junction is always reverse-biased. Due to it, a small change in emitter current. This means that a small signal voltage variation at the input of the transistor produces a large emitter current variation. This showed that the input resistance of a transistor is low. Since the collector is reverse-biased, it collects all the charge carriers which diffuse into it, through the base. Due to it, a very large change in collector voltage shows only a small change in the collector current. This shows that the output resistance of the transistor is high.

How to Calculate Small-Signal Input Resistance between Base and Emitter using Base Current?

Small-Signal Input Resistance between Base and Emitter using Base Current calculator uses Signal Resistance = Threshold Voltage/Base Current to calculate the Signal Resistance, The Small-Signal Input Resistance between Base and Emitter using Base Current suggests that for a small signal, the transistor behaves as a voltage-controlled current source. The input port of the controlled current source is between base and emitter and the output port is in between collector and emitter. Signal Resistance is denoted by R_s symbol.

How to calculate Small-Signal Input Resistance between Base and Emitter using Base Current using this online calculator? To use this online calculator for Small-Signal Input Resistance between Base and Emitter using Base Current, enter Threshold Voltage (V_th) & Base Current (I_B) and hit the calculate button. Here is how the Small-Signal Input Resistance between Base and Emitter using Base Current calculation can be explained with given input values -> 0.071429 = 5.5/7.7E-05.

FAQ

What is Small-Signal Input Resistance between Base and Emitter using Base Current?

The Small-Signal Input Resistance between Base and Emitter using Base Current suggests that for a small signal, the transistor behaves as a voltage-controlled current source. The input port of the controlled current source is between base and emitter and the output port is in between collector and emitter and is represented as R_s = V_th/I_B or Signal Resistance = Threshold Voltage/Base Current. Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals & Base Current is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on.

How to calculate Small-Signal Input Resistance between Base and Emitter using Base Current?

The Small-Signal Input Resistance between Base and Emitter using Base Current suggests that for a small signal, the transistor behaves as a voltage-controlled current source. The input port of the controlled current source is between base and emitter and the output port is in between collector and emitter is calculated using Signal Resistance = Threshold Voltage/Base Current. To calculate Small-Signal Input Resistance between Base and Emitter using Base Current, you need Threshold Voltage (V_th) & Base Current (I_B). With our tool, you need to enter the respective value for Threshold Voltage & Base Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Signal Resistance?

In this formula, Signal Resistance uses Threshold Voltage & Base Current. We can use 2 other way(s) to calculate the same, which is/are as follows -

Signal Resistance = Input Voltage/Base Current
Signal Resistance = Common Emitter Current Gain/Transconductance

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