Units of electric flux are

Options

A. `(N-m^2)/C^2`
B. `N/(C^2-m^2)`
C. volt-m
D. volt-m^3

Explanation

To determine the units of electric flux, we can follow these steps:

### Step 1: Understand the Definition of Electric Flux
Electric flux (Φ) is defined as the product of the electric field (E) and the area (A) through which the field lines pass. Mathematically, it is expressed as:
\[ \Phi = \int \mathbf{E} \cdot d\mathbf{A} \]

### Step 2: Identify the Units of Electric Field
The unit of electric field (E) is volts per meter (V/m).

### Step 3: Identify the Units of Area
The unit of area (A) is square meters (m²).

### Step 4: Combine the Units
To find the unit of electric flux, we multiply the unit of electric field by the unit of area:
\[ \text{Unit of Electric Flux} = \text{Unit of Electric Field} \times \text{Unit of Area} \]
\[ \Phi = \left( \frac{V}{m} \right) \times (m^2) \]

### Step 5: Simplify the Units
When we multiply these units, we get:
\[ \Phi = V \cdot m \]
Thus, the unit of electric flux is volts meter (V·m).

### Step 6: Identify the Correct Option
From the options provided:
1. Newton meter square per coulomb square (N·m²/C²)
2. Newton per coulomb square meter square (N/(C²·m²))
3. Volt meter (V·m)
4. Volt meter cube (V·m³)

The correct answer is option 3: **Volt meter (V·m)**.

### Final Answer
The units of electric flux are **Volt meter (V·m)**.

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