What is the SI unit of energy density due to electric field is ________

Options

A. `"Hertz"^(-1)`
B. `Tm `
C. `Jm^(-3)`
D. `Tm^(-5)`

Explanation

To find the SI unit of energy density due to an electric field, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Energy Density**:
Energy density refers to the amount of energy stored in a given volume. It is defined as energy per unit volume.

2. **Formula for Energy Density**:
The formula for energy density (u) can be expressed as:
\[ u = \frac{E}{V} \]
where \(E\) is the energy and \(V\) is the volume.

3. **Identify the SI Units**:
- The SI unit of energy is the joule (J).
- The SI unit of volume is cubic meter (m³).

4. **Combine the Units**:
To find the SI unit of energy density, we divide the unit of energy by the unit of volume:
\[ \text{SI unit of energy density} = \frac{\text{joule}}{\text{meter}^3} = \text{joule per meter cubed} \quad (J/m^3) \]

5. **Conclusion**:
Therefore, the SI unit of energy density due to the electric field is:
\[ \text{joule per meter cubed} \quad (J/m^3) \]

### Final Answer:
The SI unit of energy density due to the electric field is **joule per meter cubed (J/m³)**.