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Phase Constant in Telephone Cable Formula

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Phase constant refers to a parameter that describes the phase change of an electromagnetic wave as it propagates through a medium. It is denoted by the symbol β (beta). Check FAQs

Φ = \sqrt{\frac{ω \cdot R \cdot C}{2}}

Φ - Phase Constant?ω - Angular Velocity?R - Resistance?C - Capacitance?

Phase Constant in Telephone Cable Example

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Here is how the Phase Constant in Telephone Cable equation looks like with Values.

Here is how the Phase Constant in Telephone Cable equation looks like with Units.

Here is how the Phase Constant in Telephone Cable equation looks like.

0.4071 = \sqrt{\frac{2000 \cdot 12.75 \cdot 13}{2}}

0.4071rad/s = \sqrt{\frac{2000rad/s \cdot 12.75Ω \cdot 13μF}{2}}

0.4071 = \sqrt{\frac{2000 \cdot 12.75 \cdot 13}{2}}

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Phase Constant in Telephone Cable Solution

Follow our step by step solution on how to calculate Phase Constant in Telephone Cable?

FIRST Step Consider the formula

Φ = \sqrt{\frac{ω \cdot R \cdot C}{2}}

Next Step Substitute values of Variables

∴

Φ = \sqrt{\frac{2000rad/s \cdot 12.75Ω \cdot 13μF}{2}}

Next Step Convert Units

∴

Φ = \sqrt{\frac{2000rad/s \cdot 12.75Ω \cdot 1.3E-5F}{2}}

Next Step Prepare to Evaluate

∴

Φ = \sqrt{\frac{2000 \cdot 12.75 \cdot 1.3E-5}{2}}

Next Step Evaluate

∴

Φ = 0.407124059716446rad/s

LAST Step Rounding Answer

∴

Φ = 0.4071rad/s

Phase Constant in Telephone Cable Formula Elements

Variables

Functions

Phase Constant

Phase constant refers to a parameter that describes the phase change of an electromagnetic wave as it propagates through a medium. It is denoted by the symbol β (beta).

Symbol: Φ

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Phase Constant

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Resistance

Resistance is the component of the total impedance that represents the opposition to the flow of electrical current due to the resistive properties of the transmission line itself.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance

Capacitance

Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

Symbol: C

Measurement: CapacitanceUnit: μF

Note: Value can be positive or negative.

Formulas to find Capacitance

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Transmission Line and Antenna Theory category

Go Velocity Factor

V f = \frac{1}{\sqrt{K}}

Go Velocity of Propagation in Telephonic Cable

V P = \sqrt{\frac{2 \cdot ω}{R \cdot C}}

Go Voltage Maxima

V max = V i + V r

Go Voltage Minima

V min = V i - V r

How to Evaluate Phase Constant in Telephone Cable?

Phase Constant in Telephone Cable evaluator uses Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2) to evaluate the Phase Constant, The Phase Constant in Telephone Cable formula is defined as the the phase constant refers to the phase velocity of the electrical signals propagating through the cable. It is a measure of how quickly the phase of the signal changes with respect to time. Phase Constant is denoted by Φ symbol.

How to evaluate Phase Constant in Telephone Cable using this online evaluator? To use this online evaluator for Phase Constant in Telephone Cable, enter Angular Velocity (ω), Resistance (R) & Capacitance (C) and hit the calculate button.

FAQs on Phase Constant in Telephone Cable

What is the formula to find Phase Constant in Telephone Cable?

The formula of Phase Constant in Telephone Cable is expressed as Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2). Here is an example- 0.407124 = sqrt((2000*12.75*1.3E-05)/2).

How to calculate Phase Constant in Telephone Cable?

With Angular Velocity (ω), Resistance (R) & Capacitance (C) we can find Phase Constant in Telephone Cable using the formula - Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2). This formula also uses Square Root Function function(s).

Can the Phase Constant in Telephone Cable be negative?

No, the Phase Constant in Telephone Cable, measured in Angular Velocity cannot be negative.

Which unit is used to measure Phase Constant in Telephone Cable?

Phase Constant in Telephone Cable is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Phase Constant in Telephone Cable can be measured.

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Phase Constant in Telephone Cable Formula

Phase Constant in Telephone Cable Example

Phase Constant in Telephone Cable Solution

Phase Constant in Telephone Cable Formula Elements

Other formulas in Transmission Line and Antenna Theory category

How to Evaluate Phase Constant in Telephone Cable?

FAQs on Phase Constant in Telephone Cable

Variable Name