Question

What is the SI unit of LCR?

Answer 1

The SI unit for LCR—inductance (L), capacitance (C), and resistance (R)—is as follows:

1. **Inductance (L)**: The SI unit for inductance is the **henry (H)**. One henry is defined as the inductance of a coil in which a change in current of one ampere per second induces a voltage of one volt. Mathematically, it's expressed as \(1 \, \text{H} = 1 \, \text{V} \cdot \text{s}/\text{A}\).

2. **Capacitance (C)**: The SI unit for capacitance is the **farad (F)**. One farad is the capacitance of a capacitor in which a charge of one coulomb produces a voltage of one volt. Mathematically, it's expressed as \(1 \, \text{F} = 1 \, \text{C}/\text{V}\).

3. **Resistance (R)**: The SI unit for resistance is the **ohm (Ω)**. One ohm is defined as the resistance between two points of a conductor when a constant voltage of one volt applied to these points produces a current of one ampere. Mathematically, it's expressed as \(1 \, \Omega = 1 \, \text{V}/\text{A}\).

So, in summary:
- **Inductance** is measured in henrys (H),
- **Capacitance** is measured in farads (F),
- **Resistance** is measured in ohms (Ω).

Each unit represents a fundamental property in the study of electrical circuits and components.

Answer 2

The SI units of LCR are:

- **L** (Inductance) is measured in **henries (H)**.
- **C** (Capacitance) is measured in **farads (F)**.
- **R** (Resistance) is measured in **ohms (Ω)**.

In summary:
- **Inductance (L)**: The SI unit is the henry (H).
- **Capacitance (C)**: The SI unit is the farad (F).
- **Resistance (R)**: The SI unit is the ohm (Ω).