Maximum Variation Resistance by Carbon Granules Calculator

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Digital Switching System

Telecommunication Traffic System

✖Quiescent resistance refers to the resistance value or impedance exhibited by a component or circuit when it is in a state of rest, without any significant signal or current flowing through it.ⓘ Quiescent Resistance [R_q]			+10% -10%
✖Instantaneous Resistance is the instantaneous values of currents and voltages.ⓘ Instantaneous Resistance [R_i]			+10% -10%
✖Angular Frequency refers to the rate at which a sinusoidal signal or waveform oscillates or completes one full cycle per unit of time.ⓘ Angular Frequency [ω]			+10% -10%
✖Time Period refers to the duration or length of time over which the calls are being considered or observed.ⓘ Time Period [T]			+10% -10%

✖Maximum variation in resistance is the maximum resistance.ⓘ Maximum Variation Resistance by Carbon Granules [R_max]

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Formula

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Maximum Variation Resistance by Carbon Granules

Formula

`"R"_{"max"} = ("R"_{"q"}-"R"_{"i"})/sin("ω"*"T")`

Example

`"24.99615Ω"=("1.68Ω"-"26.67Ω")/sin("25.5rad/s"*"30s")`

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Maximum Variation Resistance by Carbon Granules Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Variation in Resistance = (Quiescent Resistance-Instantaneous Resistance)/sin(Angular Frequency*Time Period)
R_max = (R_q-R_i)/sin(ω*T)
This formula uses 1 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Maximum Variation in Resistance - (Measured in Ohm) - Maximum variation in resistance is the maximum resistance.
Quiescent Resistance - (Measured in Ohm) - Quiescent resistance refers to the resistance value or impedance exhibited by a component or circuit when it is in a state of rest, without any significant signal or current flowing through it.
Instantaneous Resistance - (Measured in Ohm) - Instantaneous Resistance is the instantaneous values of currents and voltages.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency refers to the rate at which a sinusoidal signal or waveform oscillates or completes one full cycle per unit of time.
Time Period - (Measured in Second) - Time Period refers to the duration or length of time over which the calls are being considered or observed.

STEP 1: Convert Input(s) to Base Unit

Quiescent Resistance: 1.68 Ohm --> 1.68 Ohm No Conversion Required
Instantaneous Resistance: 26.67 Ohm --> 26.67 Ohm No Conversion Required
Angular Frequency: 25.5 Radian per Second --> 25.5 Radian per Second No Conversion Required
Time Period: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_max = (R_q-R_i)/sin(ω*T) --> (1.68-26.67)/sin(25.5*30)

Evaluating ... ...

R_max = 24.9961531143366

STEP 3: Convert Result to Output's Unit

24.9961531143366 Ohm --> No Conversion Required

FINAL ANSWER

24.9961531143366 ≈ 24.99615 Ohm <-- Maximum Variation in Resistance

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 15 Digital Switching System Calculators

Maximum Variation Resistance by Carbon Granules

Go Maximum Variation in Resistance = (Quiescent Resistance-Instantaneous Resistance)/sin(Angular Frequency*Time Period)

Instantaneous Resistance of Microphone

Go Instantaneous Resistance = Quiescent Resistance-Maximum Variation in Resistance*sin(Angular Frequency*Time Period)

Quiescent Resistance of Microphone

Go Quiescent Resistance = Instantaneous Resistance+Maximum Variation in Resistance*sin(Angular Frequency*Time Period)

Number of Switching Elements

Go Number of Switching Element = (Cost of Switching System-Cost of Common Hardware-Cost of Common Control System)/Cost per Switching Element

Average Switching Time per Stage

Go Average Switching Time per Stage = (Call Setup Time-Time Required Other than Switching)/Number of Switching Stage

Number of Switching Stage

Go Number of Switching Stage = (Call Setup Time-Time Required Other than Switching)/Average Switching Time per Stage

Number of SE in Equivalent Multistage

Go Number of SE in Equivalent Multistage = Number of SE in Single Switch/Switching Element Advantage Factor

Switching Element Advantage Factor

Go Switching Element Advantage Factor = Number of SE in Single Switch/Number of SE in Equivalent Multistage

Number of SE in Single Switch

Go Number of SE in Single Switch = Number of SE in Equivalent Multistage*Switching Element Advantage Factor

Theoretical Maximum Load

Go Number of Subscriber Lines = (2*Switching Capacity)/Traffic Handling Capacity

Number of SE when SC Fully Utilised

Go SE when SC Fully Utilized = Total Number of SE*Equipment Utilization Factor

Equipment Utilization Factor

Go Equipment Utilization Factor = SE when SC Fully Utilized/Total Number of SE

Total Number of SE in System

Go Total Number of SE = SE when SC Fully Utilized/Equipment Utilization Factor

Power Ratio

Go Power Ratio = 20*log10(Voltage2/Voltage1)

Sinusoidal Input

Go Sinusoidal Input = Quantization Error*2*Voltage

Maximum Variation Resistance by Carbon Granules Formula

Maximum Variation in Resistance = (Quiescent Resistance-Instantaneous Resistance)/sin(Angular Frequency*Time Period)
R_max = (R_q-R_i)/sin(ω*T)

What is resistance in microphone?

Resistance in the microphone is the Impedance that controls the flow of the audio signal, more the impedance less will be the audio output.

How to Calculate Maximum Variation Resistance by Carbon Granules?

Maximum Variation Resistance by Carbon Granules calculator uses Maximum Variation in Resistance = (Quiescent Resistance-Instantaneous Resistance)/sin(Angular Frequency*Time Period) to calculate the Maximum Variation in Resistance, Maximum Variation Resistance by Carbon Granules formula is defined as maximum resistance offered by the carbon granules. Maximum Variation in Resistance is denoted by R_max symbol.

How to calculate Maximum Variation Resistance by Carbon Granules using this online calculator? To use this online calculator for Maximum Variation Resistance by Carbon Granules, enter Quiescent Resistance (R_q), Instantaneous Resistance (R_i), Angular Frequency (ω) & Time Period (T) and hit the calculate button. Here is how the Maximum Variation Resistance by Carbon Granules calculation can be explained with given input values -> 24.99615 = (1.68-26.67)/sin(25.5*30).

FAQ

What is Maximum Variation Resistance by Carbon Granules?

Maximum Variation Resistance by Carbon Granules formula is defined as maximum resistance offered by the carbon granules and is represented as R_max = (R_q-R_i)/sin(ω*T) or Maximum Variation in Resistance = (Quiescent Resistance-Instantaneous Resistance)/sin(Angular Frequency*Time Period). Quiescent resistance refers to the resistance value or impedance exhibited by a component or circuit when it is in a state of rest, without any significant signal or current flowing through it, Instantaneous Resistance is the instantaneous values of currents and voltages, Angular Frequency refers to the rate at which a sinusoidal signal or waveform oscillates or completes one full cycle per unit of time & Time Period refers to the duration or length of time over which the calls are being considered or observed.

How to calculate Maximum Variation Resistance by Carbon Granules?

Maximum Variation Resistance by Carbon Granules formula is defined as maximum resistance offered by the carbon granules is calculated using Maximum Variation in Resistance = (Quiescent Resistance-Instantaneous Resistance)/sin(Angular Frequency*Time Period). To calculate Maximum Variation Resistance by Carbon Granules, you need Quiescent Resistance (R_q), Instantaneous Resistance (R_i), Angular Frequency (ω) & Time Period (T). With our tool, you need to enter the respective value for Quiescent Resistance, Instantaneous Resistance, Angular Frequency & Time Period 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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