Small-Signal Input Resistance between Base and Emitter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Signal Resistance = Input Voltage/Base Current
Rs = Vin/IB
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.
Input Voltage - (Measured in Volt) - Input voltage is the voltage supplied to the device.
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
Input Voltage: 2.5 Volt --> 2.5 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
Rs = Vin/IB --> 2.5/7.7E-05
Evaluating ... ...
Rs = 32467.5324675325
STEP 3: Convert Result to Output's Unit
32467.5324675325 Ohm -->32.4675324675325 Kilohm (Check conversion ​here)
FINAL ANSWER
32.4675324675325 32.46753 Kilohm <-- Signal Resistance
(Calculation completed in 00.006 seconds)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Resistance Calculators

Small-Signal Input Resistance between Base and Emitter using Transconductance
​ LaTeX ​ Go Signal Resistance = Common Emitter Current Gain/Transconductance
Emitter Resistance given Threshold Voltage
​ LaTeX ​ Go Emitter Resistance = Threshold Voltage/Emitter Current
Small-Signal Input Resistance between Base and Emitter using Base Current
​ LaTeX ​ Go Signal Resistance = Threshold Voltage/Base Current
Small-Signal Input Resistance between Base and Emitter
​ LaTeX ​ Go Signal Resistance = Input Voltage/Base Current

Small-Signal Input Resistance between Base and Emitter Formula

​LaTeX ​Go
Signal Resistance = Input Voltage/Base Current
Rs = Vin/IB

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?

Small-Signal Input Resistance between Base and Emitter calculator uses Signal Resistance = Input Voltage/Base Current to calculate the Signal Resistance, The Small-signal input resistance between base and emitter 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 Rs symbol.

How to calculate Small-Signal Input Resistance between Base and Emitter using this online calculator? To use this online calculator for Small-Signal Input Resistance between Base and Emitter, enter Input Voltage (Vin) & Base Current (IB) and hit the calculate button. Here is how the Small-Signal Input Resistance between Base and Emitter calculation can be explained with given input values -> 0.032468 = 2.5/7.7E-05.

FAQ

What is Small-Signal Input Resistance between Base and Emitter?
The Small-signal input resistance between base and emitter 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 Rs = Vin/IB or Signal Resistance = Input Voltage/Base Current. Input voltage is the voltage supplied to the device & 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?
The Small-signal input resistance between base and emitter 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 = Input Voltage/Base Current. To calculate Small-Signal Input Resistance between Base and Emitter, you need Input Voltage (Vin) & Base Current (IB). With our tool, you need to enter the respective value for Input 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 Input Voltage & Base Current. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Signal Resistance = Common Emitter Current Gain/Transconductance
  • Signal Resistance = Threshold Voltage/Base Current
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