Coupling Co-efficient Calculator

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✖Input Capacitance refers to the total capacitance a device or circuit presents at its input terminal, affecting signal response and impedance characteristics.ⓘ Input Capacitance [C_o]			+10% -10%
✖Capacitance is a property that stores electrical energy in an electric field by accumulating electric charges on two closely spaced surfaces that are insulated from each other.ⓘ Capacitance [C]			+10% -10%

✖Coupling Coefficient is defined as the fraction of the magnetic flux produced by the current in one coil that links with the current in the other coil.ⓘ Coupling Co-efficient [γ]

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Coupling Co-efficient

Formula

`"γ" = "C"_{"o"}/("C"+"C"_{"o"})`

Example

`"0.299764"="3.81F"/("8.9F"+"3.81F")`

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Coupling Co-efficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance)
γ = C_o/(C+C_o)
This formula uses 3 Variables

Variables Used

Coupling Coefficient - Coupling Coefficient is defined as the fraction of the magnetic flux produced by the current in one coil that links with the current in the other coil.
Input Capacitance - (Measured in Farad) - Input Capacitance refers to the total capacitance a device or circuit presents at its input terminal, affecting signal response and impedance characteristics.
Capacitance - (Measured in Farad) - Capacitance is a property that stores electrical energy in an electric field by accumulating electric charges on two closely spaced surfaces that are insulated from each other.

STEP 1: Convert Input(s) to Base Unit

Input Capacitance: 3.81 Farad --> 3.81 Farad No Conversion Required
Capacitance: 8.9 Farad --> 8.9 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = C_o/(C+C_o) --> 3.81/(8.9+3.81)

Evaluating ... ...

γ = 0.299763965381589

STEP 3: Convert Result to Output's Unit

0.299763965381589 --> No Conversion Required

FINAL ANSWER

0.299763965381589 ≈ 0.299764 <-- Coupling Coefficient

(Calculation completed in 00.020 seconds)

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Credits

Created by Rahul Gupta

Chandigarh University (CU), Mohali, Punjab

Rahul Gupta has created this Calculator and 25+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 15 Continuous Time Signals Calculators

Current for Loaded Admittance

Go Current for Loaded Admittance = Current for Internal Admittance*Loaded Admittance/(Internal Admittance+Loaded Admittance)

Open Loop Gain of Signal

Go Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency)

Damping Co-efficient

Go Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency)

Voltage for Loaded Admittance

Go Voltage of Loaded Admittance = Current for Internal Admittance/(Internal Admittance+Loaded Admittance)

Damping Co-efficient in State-Space Form

Go Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance)

Resistance with respect to Damping Coefficient

Go Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2)

Coupling Co-efficient

Go Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance)

Natural Frequency

Go Natural Frequency = sqrt(Input Frequency*High Frequency)

Periodic Signal of Time Fourier

Go Periodic Signal = sin((2*pi)/Time Periodic Signal)

Output of Time Invariant Signal

Go Time Invariant Output Signal = Time Invariant Input Signal*Impulse Response

Transfer Function

Go Transfer Function = Output Signal/Input Signal

Angular Frequency of Signal

Go Angular Frequency = 2*pi/Time Period

Time Period of Signal

Go Time Period = 2*pi/Angular Frequency

Frequency of Signal

Go Frequency = 2*pi/Angular Frequency

Inverse of System Function

Go Inverse System Function = 1/System Function

Coupling Co-efficient Formula

Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance)
γ = C_o/(C+C_o)

What affects coupling coefficient?

The field lines are normal to the plane. The coupling coefficient is dependent on how much of the magnetic field flux is encircled by the secondary coil, being higher if a high density of lines is projected through the secondary coil.

What does the coefficient of coupling depend on?

The value of coefficient of coupling depends on the positions of the secondary coil with respect to the primary coil.

How to Calculate Coupling Co-efficient?

Coupling Co-efficient calculator uses Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance) to calculate the Coupling Coefficient, The Coupling Co-efficient formula is defined as the fraction of the magnetic flux produced by the current in one coil that links with the current in the other coil and the coefficient of coupling is used to express the amount of coupling between two inductively coupled coils. Coupling Coefficient is denoted by γ symbol.

How to calculate Coupling Co-efficient using this online calculator? To use this online calculator for Coupling Co-efficient, enter Input Capacitance (C_o) & Capacitance (C) and hit the calculate button. Here is how the Coupling Co-efficient calculation can be explained with given input values -> 0.299764 = 3.81/(8.9+3.81).

FAQ

What is Coupling Co-efficient?

The Coupling Co-efficient formula is defined as the fraction of the magnetic flux produced by the current in one coil that links with the current in the other coil and the coefficient of coupling is used to express the amount of coupling between two inductively coupled coils and is represented as γ = C_o/(C+C_o) or Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance). Input Capacitance refers to the total capacitance a device or circuit presents at its input terminal, affecting signal response and impedance characteristics & Capacitance is a property that stores electrical energy in an electric field by accumulating electric charges on two closely spaced surfaces that are insulated from each other.

How to calculate Coupling Co-efficient?

The Coupling Co-efficient formula is defined as the fraction of the magnetic flux produced by the current in one coil that links with the current in the other coil and the coefficient of coupling is used to express the amount of coupling between two inductively coupled coils is calculated using Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance). To calculate Coupling Co-efficient, you need Input Capacitance (C_o) & Capacitance (C). With our tool, you need to enter the respective value for Input Capacitance & Capacitance 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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