Effective Input Resistance Calculator

✖Resistance is defined as the resistance experienced by either the source or load connected to the circuit.ⓘ Resistance [R]			+10% -10%
✖A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.ⓘ Duty Cycle [d]			+10% -10%

✖Input Resistance is defined as the total resistance faced by the flow of current in a inside a chopper based circuit.ⓘ Effective Input Resistance [R_in]

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Formula

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Effective Input Resistance

Formula

`"R"_{"in"} = "R"/"d"`

Example

`"71.42857Ω"="40Ω"/"0.56"`

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Effective Input Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Input Resistance = Resistance/Duty Cycle
R_in = R/d
This formula uses 3 Variables

Variables Used

Input Resistance - (Measured in Ohm) - Input Resistance is defined as the total resistance faced by the flow of current in a inside a chopper based circuit.
Resistance - (Measured in Ohm) - Resistance is defined as the resistance experienced by either the source or load connected to the circuit.
Duty Cycle - A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.

STEP 1: Convert Input(s) to Base Unit

Resistance: 40 Ohm --> 40 Ohm No Conversion Required
Duty Cycle: 0.56 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_in = R/d --> 40/0.56

Evaluating ... ...

R_in = 71.4285714285714

STEP 3: Convert Result to Output's Unit

71.4285714285714 Ohm --> No Conversion Required

FINAL ANSWER

71.4285714285714 ≈ 71.42857 Ohm <-- Input Resistance

(Calculation completed in 00.004 seconds)

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Created by Gokulraj

Anna university (Au), Tamilnadu

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Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 13 Chopper Core Factors Calculators

Excess Work Due to Thyristor 1 in Chopper Circuit

Go Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2)

Critical Inductance

Go Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power))

Energy Released by Inductor to Load

Go Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time

Peak to Peak Ripple Voltage of Capacitor

Go Ripple Voltage in Buck Converter = (1/Capacitance)*int((Change in Current/4)*x,x,0,Time/2)

Energy Input to Inductor from Source

Go Energy Input = Source Voltage*((Current 1+Current 2)/2)*Chopper On Time

Critical Capacitance

Go Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency)

Maximum Ripple Current Resistive Load

Go Ripple Current = Source Voltage/(4*Inductance*Chopping Frequency)

AC Ripple Voltage

Go Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2)

Ripple Factor of DC Chopper

Go Ripple Factor = sqrt((1/Duty Cycle)-Duty Cycle)

Chopping Period

Go Chopping Period = Chopper On Time+Circuit Turn Off Time

Chopping Frequency

Go Chopping Frequency = Duty Cycle/Chopper On Time

Duty Cycle

Go Duty Cycle = Chopper On Time/Chopping Period

Effective Input Resistance

Go Input Resistance = Resistance/Duty Cycle

Effective Input Resistance Formula

Input Resistance = Resistance/Duty Cycle
R_in = R/d

What is Chopper?

A chopper uses high speed to connect and disconnect from a source load. A fixed DC voltage is applied intermittently to the source load by continuously triggering the power switch ON/OFF. The period of time for which the power switch stays ON or OFF is referred to as the chopper’s ON and OFF state times, respectively.
Choppers are mostly applied in electric cars, wind and solar energy conversion, and DC motor regulators.

How to Calculate Effective Input Resistance?

Effective Input Resistance calculator uses Input Resistance = Resistance/Duty Cycle to calculate the Input Resistance, The Effective Input Resistance formula is defined as the ratio of load resistance to the Duty cycle. Input Resistance is denoted by R_in symbol.

How to calculate Effective Input Resistance using this online calculator? To use this online calculator for Effective Input Resistance, enter Resistance (R) & Duty Cycle (d) and hit the calculate button. Here is how the Effective Input Resistance calculation can be explained with given input values -> 71.42857 = 40/0.56.

FAQ

What is Effective Input Resistance?

The Effective Input Resistance formula is defined as the ratio of load resistance to the Duty cycle and is represented as R_in = R/d or Input Resistance = Resistance/Duty Cycle. Resistance is defined as the resistance experienced by either the source or load connected to the circuit & A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.

How to calculate Effective Input Resistance?

The Effective Input Resistance formula is defined as the ratio of load resistance to the Duty cycle is calculated using Input Resistance = Resistance/Duty Cycle. To calculate Effective Input Resistance, you need Resistance (R) & Duty Cycle (d). With our tool, you need to enter the respective value for Resistance & Duty Cycle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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