Phase Shift in Output RC Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase Shift = arctan(Capacitive Reactance/(Resistance+Load Resistance))
θ = arctan(Xc/(Rs+RL))
This formula uses 3 Functions, 4 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.
Resistance - (Measured in Ohm) - Resistance is the opposition to current flow in an electrical circuit. It is measured in ohms . The higher the resistance, the more opposition there is to current flow.
Load Resistance - (Measured in Ohm) - Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.
STEP 1: Convert Input(s) to Base Unit
Capacitive Reactance: 0.002 Ohm --> 0.002 Ohm No Conversion Required
Resistance: 7.9 Ohm --> 7.9 Ohm No Conversion Required
Load Resistance: 0.28 Kilohm --> 280 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = arctan(Xc/(Rs+RL)) --> arctan(0.002/(7.9+280))
Evaluating ... ...
θ = 6.94685654730055E-06
STEP 3: Convert Result to Output's Unit
6.94685654730055E-06 Radian -->0.000398025561043219 Degree (Check conversion ​here)
FINAL ANSWER
0.000398025561043219 0.000398 Degree <-- Phase Shift
(Calculation completed in 00.004 seconds)

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Created by Suma Madhuri
VIT University (VIT), Chennai
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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Internal Capacitive Effects and High Frequency Model Calculators

Transition Frequency of MOSFET
​ LaTeX ​ Go Transition Frequency = Transconductance/(2*pi*(Source Gate Capacitance+Gate-Drain Capacitance))
Total Capacitance between Gate and Channel of MOSFETs
​ LaTeX ​ Go Gate Channel Capacitance = Oxide Capacitance*Channel Width*Channel Length
Gate to Source Channel Width of MOSFET
​ LaTeX ​ Go Channel Width = Overlap Capacitance/(Oxide Capacitance*Overlap Length)
Overlap Capacitance of MOSFET
​ LaTeX ​ Go Overlap Capacitance = Channel Width*Oxide Capacitance*Overlap Length

Phase Shift in Output RC Circuit Formula

​LaTeX ​Go
Phase Shift = arctan(Capacitive Reactance/(Resistance+Load Resistance))
θ = arctan(Xc/(Rs+RL))

How can phase shift be compensated for in an RC circuit?


There are two main ways to compensate for phase shift in an RC circuit:

Using a negative feedback loop: A negative feedback loop is a circuit that feeds back a portion of the output signal to the input signal. This can be done with an operational amplifier or other feedback circuit. When the output signal is shifted in phase, the feedback signal will shift the input signal in the opposite direction, compensating for the phase shift.
Using a phase-shift network: A phase-shift network is a circuit that is designed to shift the phase of a signal by a specific amount. Phase-shift networks can be used to compensate for phase shift in RC circuits, as well as to create other desired phase shifts.

How to Calculate Phase Shift in Output RC Circuit?

Phase Shift in Output RC Circuit calculator uses Phase Shift = arctan(Capacitive Reactance/(Resistance+Load Resistance)) to calculate the Phase Shift, The Phase shift in output RC circuit formula is defined as that the phase shift increases with frequency. At low frequencies, the phase shift is close to zero degrees. Phase Shift is denoted by θ symbol.

How to calculate Phase Shift in Output RC Circuit using this online calculator? To use this online calculator for Phase Shift in Output RC Circuit, enter Capacitive Reactance (Xc), Resistance (Rs) & Load Resistance (RL) and hit the calculate button. Here is how the Phase Shift in Output RC Circuit calculation can be explained with given input values -> 0.022805 = arctan(0.002/(7.9+280)).

FAQ

What is Phase Shift in Output RC Circuit?
The Phase shift in output RC circuit formula is defined as that the phase shift increases with frequency. At low frequencies, the phase shift is close to zero degrees and is represented as θ = arctan(Xc/(Rs+RL)) or Phase Shift = arctan(Capacitive Reactance/(Resistance+Load 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, Resistance is the opposition to current flow in an electrical circuit. It is measured in ohms . The higher the resistance, the more opposition there is to current flow & Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.
How to calculate Phase Shift in Output RC Circuit?
The Phase shift in output RC circuit formula is defined as that the phase shift increases with frequency. At low frequencies, the phase shift is close to zero degrees is calculated using Phase Shift = arctan(Capacitive Reactance/(Resistance+Load Resistance)). To calculate Phase Shift in Output RC Circuit, you need Capacitive Reactance (Xc), Resistance (Rs) & Load Resistance (RL). With our tool, you need to enter the respective value for Capacitive Reactance, Resistance & Load 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, Resistance & Load Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Phase Shift = arctan(Capacitive Reactance/Input Resistance)
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