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Calculate Impedance of a Circuit

Impedance Formula:

\[ Z = \sqrt{R^2 + X^2} \]

Ω
Ω

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1. What is Circuit Impedance?

Impedance (Z) is the total opposition to current flow in an AC circuit, combining both resistance (R) and reactance (X). It's measured in ohms (Ω) and is crucial for analyzing AC circuits.

2. How Does the Calculator Work?

The calculator uses the impedance formula:

\[ Z = \sqrt{R^2 + X^2} \]

Where:

Explanation: The formula calculates the vector sum of resistance and reactance in a circuit.

3. Importance of Impedance Calculation

Details: Impedance calculation is essential for designing circuits, determining power consumption, and ensuring proper component matching in AC systems.

4. Using the Calculator

Tips: Enter resistance and reactance values in ohms (Ω). Both values must be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between impedance and resistance?
A: Resistance opposes DC current, while impedance opposes AC current and includes both resistance and reactance components.

Q2: How does reactance affect impedance?
A: Reactance (X) can be capacitive or inductive and causes phase shifts between voltage and current. Higher reactance increases total impedance.

Q3: When is impedance equal to resistance?
A: In purely resistive circuits (X=0), impedance equals resistance. This occurs in DC circuits or AC circuits at resonance.

Q4: Can impedance be less than resistance?
A: No, since impedance is the vector sum of R and X, it's always ≥ resistance.

Q5: How is impedance used in real applications?
A: Impedance matching is crucial in audio systems, RF circuits, and power transmission to maximize power transfer and minimize reflections.

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