# Impedance Calculation: Finding Capacitor Value w/ Phasor & ω

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In summary, impedance calculation is a process used in electrical engineering to determine the total opposition to current flow in an electrical circuit by calculating the resistance, capacitance, and inductance. To find the value of a capacitor, the frequency of the circuit (ω) is needed and can be calculated using the formula C = 1/(ωXc). Impedance calculation can be used for both AC and DC circuits, and is essential in various applications such as audio systems, power transmission, and electronic filters. Impedance is related to resistance, capacitance, and inductance as it is the total opposition to current flow and is made up of these three components.
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## Homework Statement

I am trying to find value of a capacitor knowing capacitor impedance (Phasor) and ω (in rad/sec).

## The Attempt at a Solution

Zc = -j/ωC
C = -j/ωZc

My question is do I have to convert the ω into degrees/sec before doing the calculations since Z(impedance) is in phasor form? I think i need to but just want to make sure.

Omega is in radians per second.

## 1. What is impedance calculation?

Impedance calculation is a process used in electrical engineering to determine the total opposition to current flow in an electrical circuit. It includes calculating the resistance, capacitance, and inductance in a circuit and their effects on the overall impedance.

## 2. How do you find the value of a capacitor using phasor and ω?

To find the value of a capacitor using phasor and ω, you first need to know the frequency (ω) of the circuit. Then, using the formula 1/ωC = Xc, where Xc is the capacitive reactance, you can calculate the value of the capacitor (C) by rearranging the equation to C = 1/(ωXc).

## 3. Can impedance calculation be used for AC circuits only?

No, impedance calculation can be used for both AC and DC circuits. However, the formulas and methods used may differ slightly depending on the type of circuit.

## 4. What are some common applications of impedance calculation?

Impedance calculation is used in various applications, including audio systems, power transmission, electronic filters, and communication systems. It is also crucial in analyzing and troubleshooting electrical circuits.

## 5. How is impedance related to resistance, capacitance, and inductance?

Impedance is the total opposition to current flow in a circuit, and it is made up of three components: resistance, capacitance, and inductance. Resistance is the opposition to current flow caused by the material of the wire, while capacitance and inductance are the opposition to changes in voltage and current, respectively.

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