Impedance for RC Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2)
Z = sqrt(R^2+1/(ωf*C)^2)
This formula uses 1 Functions, 4 Variables
Functions Used
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., sqrt(Number)
Variables Used
Impedance - (Measured in Ohm) - Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
STEP 1: Convert Input(s) to Base Unit
Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required
Angular Frequency: 10.28 Hertz --> 10.28 Hertz No Conversion Required
Capacitance: 5 Farad --> 5 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Z = sqrt(R^2+1/(ωf*C)^2) --> sqrt(10.1^2+1/(10.28*5)^2)
Evaluating ... ...
Z = 10.1000187379463
STEP 3: Convert Result to Output's Unit
10.1000187379463 Ohm --> No Conversion Required
FINAL ANSWER
10.1000187379463 10.10002 Ohm <-- Impedance
(Calculation completed in 00.020 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has created this Calculator and 600+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

4 Impedance Calculators

Impedance for LCR Circuit
Go Impedance = sqrt(Resistance^2+(1/(Angular Frequency*Capacitance)-(Angular Frequency*Inductance))^2)
Impedance for RC Circuit
Go Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2)
Impedance for LR Circuit
Go Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2)
Impedance given Energy and Current
Go Impedance = Electric Energy/Electric Current

Impedance for RC Circuit Formula

Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2)
Z = sqrt(R^2+1/(ωf*C)^2)

What is a RC circuit ?

A resistor-capacitor circuit (RC circuit), or RC filter or RC network, is an electric circuit composed of resistors and capacitors. It may be driven by a voltage or current source and these will produce different responses. A first-order RC circuit is composed of one resistor and one capacitor and is the simplest type of RC circuit.

How to Calculate Impedance for RC Circuit?

Impedance for RC Circuit calculator uses Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2) to calculate the Impedance, The Impedance for RC Circuit is defined as the total opposition offered to the flow of current in an RC series circuit. It is measured in ohms. Impedance is denoted by Z symbol.

How to calculate Impedance for RC Circuit using this online calculator? To use this online calculator for Impedance for RC Circuit, enter Resistance (R), Angular Frequency f) & Capacitance (C) and hit the calculate button. Here is how the Impedance for RC Circuit calculation can be explained with given input values -> 10.10002 = sqrt(10.1^2+1/(10.28*5)^2).

FAQ

What is Impedance for RC Circuit?
The Impedance for RC Circuit is defined as the total opposition offered to the flow of current in an RC series circuit. It is measured in ohms and is represented as Z = sqrt(R^2+1/(ωf*C)^2) or Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2). Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm, Angular Frequency of a steadily recurring phenomenon expressed in radians per second & Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
How to calculate Impedance for RC Circuit?
The Impedance for RC Circuit is defined as the total opposition offered to the flow of current in an RC series circuit. It is measured in ohms is calculated using Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2). To calculate Impedance for RC Circuit, you need Resistance (R), Angular Frequency f) & Capacitance (C). With our tool, you need to enter the respective value for Resistance, Angular Frequency & Capacitance 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 Impedance?
In this formula, Impedance uses Resistance, Angular Frequency & Capacitance. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Impedance = sqrt(Resistance^2+(1/(Angular Frequency*Capacitance)-(Angular Frequency*Inductance))^2)
  • Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2)
  • Impedance = Electric Energy/Electric Current
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!