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Small signal input resistance in terms of common base current gain Solution

STEP 0: Pre-Calculation Summary
Formula Used
input_resistance = Small-signal voltage/(Emitter Resistance/Emitter Resistance+Total resistance in the emitter)
Rin = vπ /(re/re+R)
This formula uses 3 Variables
Variables Used
Small-signal voltage - The small-signal voltage is a quantitative expression of the potential difference in electrical charge between two points in an electrical field. (Measured in Volt)
Emitter Resistance - Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor. (Measured in Ohm)
Total resistance in the emitter - The total resistance in the emitter is the total opposition caused in the flow of current in the emitter (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
Small-signal voltage: 75 Volt --> 75 Volt No Conversion Required
Emitter Resistance: 50 Ohm --> 50 Ohm No Conversion Required
Total resistance in the emitter: 40 Ohm --> 40 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rin = vπ /(re/re+R) --> 75/(50/50+40)
Evaluating ... ...
Rin = 1.82926829268293
STEP 3: Convert Result to Output's Unit
1.82926829268293 Ohm --> No Conversion Required
FINAL ANSWER
1.82926829268293 Ohm <-- Input resistance
(Calculation completed in 00.008 seconds)

10+ Basic Configurations Calculators

Overall voltage gain in terms of resistance
overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*voltage gain*(Load resistance/(Load resistance+Output resistance)) Go
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Voltage gain of the amplifier proper
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Voltage gain of the amplifier in terms of resistance
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Overall voltage gain in terms of the signal source
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Input resistance of the transistor amplifier
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Small signal input resistance in terms of common base current gain Formula

input_resistance = Small-signal voltage/(Emitter Resistance/Emitter Resistance+Total resistance in the emitter)
Rin = vπ /(re/re+R)

What is small-signal model?

A small-signal model is an AC equivalent circuit in which the nonlinear circuit elements are replaced by linear elements whose values are given by the first-order (linear) approximation of their characteristic curve near the bias point.

How to Calculate Small signal input resistance in terms of common base current gain?

Small signal input resistance in terms of common base current gain calculator uses input_resistance = Small-signal voltage/(Emitter Resistance/Emitter Resistance+Total resistance in the emitter) to calculate the Input resistance, The Small signal input resistance in terms of common base current gain formula is defined asthe resistance seen by the current source or voltage source which drives the circuit. Input resistance and is denoted by Rin symbol.

How to calculate Small signal input resistance in terms of common base current gain using this online calculator? To use this online calculator for Small signal input resistance in terms of common base current gain, enter Small-signal voltage (vπ ), Emitter Resistance (re) and Total resistance in the emitter (R) and hit the calculate button. Here is how the Small signal input resistance in terms of common base current gain calculation can be explained with given input values -> 1.829268 = 75/(50/50+40).

FAQ

What is Small signal input resistance in terms of common base current gain?
The Small signal input resistance in terms of common base current gain formula is defined asthe resistance seen by the current source or voltage source which drives the circuit and is represented as Rin = vπ /(re/re+R) or input_resistance = Small-signal voltage/(Emitter Resistance/Emitter Resistance+Total resistance in the emitter). The small-signal voltage is a quantitative expression of the potential difference in electrical charge between two points in an electrical field. , Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor and The total resistance in the emitter is the total opposition caused in the flow of current in the emitter.
How to calculate Small signal input resistance in terms of common base current gain?
The Small signal input resistance in terms of common base current gain formula is defined asthe resistance seen by the current source or voltage source which drives the circuit is calculated using input_resistance = Small-signal voltage/(Emitter Resistance/Emitter Resistance+Total resistance in the emitter). To calculate Small signal input resistance in terms of common base current gain, you need Small-signal voltage (vπ ), Emitter Resistance (re) and Total resistance in the emitter (R). With our tool, you need to enter the respective value for Small-signal voltage, Emitter Resistance and Total resistance in the emitter 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 Input resistance?
In this formula, Input resistance uses Small-signal voltage, Emitter Resistance and Total resistance in the emitter. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • resistance = Amplifier input/input current
  • amplifier_input = (Input resistance/(Input resistance+Signal Resistance))*Small Signal
  • voltage_gain_of_the_amplifier_proper = voltage gain*(Load resistance/Load resistance+Output resistance)
  • voltage_gain_of_the_amplifier_proper = Output voltage/Input voltage
  • overall_voltage_gain = Output voltage/Signal Output
  • overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*voltage gain*(Load resistance/(Load resistance+Output resistance))
  • overall_voltage_gain = Output voltage/input signal
  • overall_voltage_gain = -MOSFET Transconductance*(1/Load Resistance+1/Load resistance)
  • voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor)
  • voltage_gain = -(Load resistance of MOSFET+1/Load Resistance)/(1/MOSFET Transconductance+Series resistor)
Where is the Small signal input resistance in terms of common base current gain calculator used?
Among many, Small signal input resistance in terms of common base current gain calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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