The unit of impedence is

Options

A. ohm
B. mho
C. ampere
D. volt

Answer

To determine the unit of impedance, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Impedance**: Impedance (denoted as Z) is a measure of how much a circuit resists the flow of alternating current (AC). It is a complex quantity that combines resistance (R) and reactance (X).

2. **Formula for Impedance**: The formula for impedance is given by:
\[ Z = \sqrt{R^2 + (X_L - X_C)^2} \]
where:
- \( R \) is the resistance,
- \( X_L \) is the inductive reactance,
- \( X_C \) is the capacitive reactance.

3. **Units of Resistance and Reactance**:
- The unit of resistance \( R \) is ohms (Ω).
- The unit of inductive reactance \( X_L \) is also ohms (Ω).
- The unit of capacitive reactance \( X_C \) is also ohms (Ω).

4. **Substituting Units into the Impedance Formula**: Since all components (R, \( X_L \), and \( X_C \)) are measured in ohms, we can substitute their units into the impedance formula:
\[ Z = \sqrt{(\text{Ω})^2 + (\text{Ω})^2} \]

5. **Calculating the Unit of Impedance**: The square of ohms is still ohms, and since we are taking the square root of a sum of terms that are all in ohms, the unit of impedance remains:
\[ Z = \sqrt{\text{Ω}^2} = \text{Ω} \]

6. **Conclusion**: Therefore, the unit of impedance is ohms (Ω).

### Final Answer:
The unit of impedance is **ohm (Ω)**.

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