Measured Value of Charge Calculator

✖Excitation Speed Q Meter is the speed at which the body is made to vibrate under forced vibration.ⓘ Excitation Speed Q Meter [ω]			+10% -10%
✖Total Inductance is the total inductance of the oscillator.ⓘ Total Inductance [L_T]			+10% -10%
✖Total resistance is the total effective resistance acting on a network.ⓘ Total Resistance [R]			+10% -10%
✖Rsh is the shunt resistance in the coil.ⓘ Rsh [Rₛₕ]			+10% -10%

✖The Charge is the total charge measured by the meter.ⓘ Measured Value of Charge [Q]

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Formula

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Measured Value of Charge

Formula

`"Q" = "ω"*"L"_{"T"}/("R"+"Rₛₕ")`

Example

`"0.122414C"="0.1633rad/s"*"30H"/("40Ω"+"0.02Ω")`

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Measured Value of Charge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Charge = Excitation Speed Q Meter*Total Inductance/(Total Resistance+Rsh)
Q = ω*L_T/(R+Rₛₕ)
This formula uses 5 Variables

Variables Used

Charge - (Measured in Coulomb) - The Charge is the total charge measured by the meter.
Excitation Speed Q Meter - (Measured in Radian per Second) - Excitation Speed Q Meter is the speed at which the body is made to vibrate under forced vibration.
Total Inductance - (Measured in Henry) - Total Inductance is the total inductance of the oscillator.
Total Resistance - (Measured in Ohm) - Total resistance is the total effective resistance acting on a network.
Rsh - (Measured in Ohm) - Rsh is the shunt resistance in the coil.

STEP 1: Convert Input(s) to Base Unit

Excitation Speed Q Meter: 0.1633 Radian per Second --> 0.1633 Radian per Second No Conversion Required
Total Inductance: 30 Henry --> 30 Henry No Conversion Required
Total Resistance: 40 Ohm --> 40 Ohm No Conversion Required
Rsh: 0.02 Ohm --> 0.02 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = ω*L_T/(R+Rₛₕ) --> 0.1633*30/(40+0.02)

Evaluating ... ...

Q = 0.122413793103448

STEP 3: Convert Result to Output's Unit

0.122413793103448 Coulomb --> No Conversion Required

FINAL ANSWER

0.122413793103448 ≈ 0.122414 Coulomb <-- Charge

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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Shiv Nadar University (SNU), Greater Noida

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< 6 Q Meter Calculators

Measured Value of Charge

Go Charge = Excitation Speed Q Meter*Total Inductance/(Total Resistance+Rsh)

True Value of Charge

Go Charge True Value = Excitation Speed Q Meter*Total Inductance/Total Resistance

Value of Resistance

Go Resistance Total = Excitation Speed Q Meter*Total Inductance/Charge

Value of Inductance

Go Inductance Total = 1/(4*(pi^2)*(Frequency of Oscillation Q Meter^2)*(Total Capacitance))

Value of CD

Go Distributed Capacitance = (Capacitance 1-(4*Capacitance 2))/3

Value of CT

Go Total Capacitance = Capacitance 1-Capacitance 2

Measured Value of Charge Formula

Charge = Excitation Speed Q Meter*Total Inductance/(Total Resistance+Rsh)
Q = ω*L_T/(R+Rₛₕ)

What is the working principle of the Q meter?

The working principle of the Q meter is series resonant because the resonant exists within the circuit once the reactance of capacitance & reactance is of the same magnitude. They induce energy to oscillate in between the fields of electric & magnetic of the inductor & capacitor respectively.

How to Calculate Measured Value of Charge?

Measured Value of Charge calculator uses Charge = Excitation Speed Q Meter*Total Inductance/(Total Resistance+Rsh) to calculate the Charge, The Measured Value of Charge formula is used to calculate the measured charge reading of the coil in the Q meter, with an active shunt resistance. Charge is denoted by Q symbol.

How to calculate Measured Value of Charge using this online calculator? To use this online calculator for Measured Value of Charge, enter Excitation Speed Q Meter (ω), Total Inductance (L_T), Total Resistance (R) & Rsh (Rₛₕ) and hit the calculate button. Here is how the Measured Value of Charge calculation can be explained with given input values -> 0.122414 = 0.1633*30/(40+0.02).

FAQ

What is Measured Value of Charge?

The Measured Value of Charge formula is used to calculate the measured charge reading of the coil in the Q meter, with an active shunt resistance and is represented as Q = ω*L_T/(R+Rₛₕ) or Charge = Excitation Speed Q Meter*Total Inductance/(Total Resistance+Rsh). Excitation Speed Q Meter is the speed at which the body is made to vibrate under forced vibration, Total Inductance is the total inductance of the oscillator, Total resistance is the total effective resistance acting on a network & Rsh is the shunt resistance in the coil.

How to calculate Measured Value of Charge?

The Measured Value of Charge formula is used to calculate the measured charge reading of the coil in the Q meter, with an active shunt resistance is calculated using Charge = Excitation Speed Q Meter*Total Inductance/(Total Resistance+Rsh). To calculate Measured Value of Charge, you need Excitation Speed Q Meter (ω), Total Inductance (L_T), Total Resistance (R) & Rsh (Rₛₕ). With our tool, you need to enter the respective value for Excitation Speed Q Meter, Total Inductance, Total Resistance & Rsh 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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