Phase Shift in Input RC Circuit Calculator

✖The Capacitive Reactance of a capacitor is inversely proportional to the frequency of the AC signal. This means that as the frequency increases, the capacitive reactance decreases.ⓘ Capacitive Reactance [X_c]			+10% -10%
✖Input Resistance is the opposition to current flow in an electrical circuit. It is measured in ohms (Ω). The higher the resistance, the more opposition there is to current flow.ⓘ Input Resistance [R_in]			+10% -10%

✖Phase Shift is the horizontal displacement of a waveform relative to its original position. It is measured in degrees or radians, and can be either positive or negative.ⓘ Phase Shift in Input RC Circuit [θ]

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Phase Shift in Input RC Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Shift = arctan(Capacitive Reactance/Input Resistance)
θ = arctan(X_c/R_in)
This formula uses 3 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
ctan - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., ctan(Angle)
arctan - Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x)., arctan(Number)

Variables Used

Phase Shift - (Measured in Radian) - Phase Shift is the horizontal displacement of a waveform relative to its original position. It is measured in degrees or radians, and can be either positive or negative.
Capacitive Reactance - (Measured in Ohm) - The Capacitive Reactance of a capacitor is inversely proportional to the frequency of the AC signal. This means that as the frequency increases, the capacitive reactance decreases.
Input Resistance - (Measured in Ohm) - Input Resistance is the opposition to current flow in an electrical circuit. It is measured in ohms (Ω). The higher the resistance, the more opposition there is to current flow.

STEP 1: Convert Input(s) to Base Unit

Capacitive Reactance: 0.002 Ohm --> 0.002 Ohm No Conversion Required
Input Resistance: 200 Ohm --> 200 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = arctan(X_c/R_in) --> arctan(0.002/200)

Evaluating ... ...

θ = 9.99999999966667E-06

STEP 3: Convert Result to Output's Unit

9.99999999966667E-06 Radian -->0.000572957795111833 Degree (Check conversion here)

FINAL ANSWER

0.000572957795111833 ≈ 0.000573 Degree <-- Phase Shift

(Calculation completed in 00.008 seconds)

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Created by Suma Madhuri

VIT University (VIT), Chennai

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Phase Shift in Input RC Circuit Formula

LaTeX Go

Phase Shift = arctan(Capacitive Reactance/Input Resistance)
θ = arctan(X_c/R_in)

What are the causes of phase shift ?

Phase shift can be caused by a variety of factors, including:

Propagation through different media: When a wave travels from one medium to another, its speed can change. This can cause a phase shift, as different waves travel at different speeds. For example, when light travels from air to water, it slows down. This causes a phase shift in the light wave.
Reflection and refraction: When a wave is reflected or refracted, its phase can change. This is because the wave must travel a different distance to go from the point of reflection or refraction to the observer.

How to Calculate Phase Shift in Input RC Circuit?

Phase Shift in Input RC Circuit calculator uses Phase Shift = arctan(Capacitive Reactance/Input Resistance) to calculate the Phase Shift, The Phase Shift in Input Rc Circuit formula is defined as the horizontal displacement of a waveform relative to its original position. It is measured in degrees or radians, and can be either positive or negative. Phase Shift is denoted by θ symbol.

How to calculate Phase Shift in Input RC Circuit using this online calculator? To use this online calculator for Phase Shift in Input RC Circuit, enter Capacitive Reactance (X_c) & Input Resistance (R_in) and hit the calculate button. Here is how the Phase Shift in Input RC Circuit calculation can be explained with given input values -> 0.032828 = arctan(0.002/200).

FAQ

What is Phase Shift in Input RC Circuit?

The Phase Shift in Input Rc Circuit formula is defined as the horizontal displacement of a waveform relative to its original position. It is measured in degrees or radians, and can be either positive or negative and is represented as θ = arctan(X_c/R_in) or Phase Shift = arctan(Capacitive Reactance/Input Resistance). The Capacitive Reactance of a capacitor is inversely proportional to the frequency of the AC signal. This means that as the frequency increases, the capacitive reactance decreases & Input Resistance is the opposition to current flow in an electrical circuit. It is measured in ohms (Ω). The higher the resistance, the more opposition there is to current flow.

How to calculate Phase Shift in Input RC Circuit?

The Phase Shift in Input Rc Circuit formula is defined as the horizontal displacement of a waveform relative to its original position. It is measured in degrees or radians, and can be either positive or negative is calculated using Phase Shift = arctan(Capacitive Reactance/Input Resistance). To calculate Phase Shift in Input RC Circuit, you need Capacitive Reactance (X_c) & Input Resistance (R_in). With our tool, you need to enter the respective value for Capacitive Reactance & Input Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Phase Shift?

In this formula, Phase Shift uses Capacitive Reactance & Input Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Phase Shift = arctan(Capacitive Reactance/(Resistance+Load Resistance))

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