The SI unit of electric polarization is

Options

A. `Cm^(-2)`
B. coulomb
C. ampere
D. volt

Explanation

To find the SI unit of electric polarization, we can follow these steps:

### Step 1: Understand the Definition of Electric Polarization
Electric polarization (P) is defined as the dipole moment per unit volume. The formula for electric polarization is given by:
\[ P = \frac{p}{V} \]
where \( p \) is the dipole moment and \( V \) is the volume.

### Step 2: Define the Dipole Moment
The dipole moment (p) is defined as the product of charge (q) and the distance (L) between the charges:
\[ p = q \cdot L \]

### Step 3: Substitute the Dipole Moment in the Polarization Formula
Now, substituting the expression for dipole moment into the polarization formula:
\[ P = \frac{q \cdot L}{V} \]

### Step 4: Define the Volume
The volume (V) can be expressed in terms of length:
\[ V = L^3 \]
Thus, we can rewrite the polarization formula as:
\[ P = \frac{q \cdot L}{L^3} = \frac{q}{L^2} \]

### Step 5: Identify the SI Units
Now we need to identify the SI units for each component in the expression:
- Charge (q) is measured in Coulombs (C).
- Length (L) is measured in meters (m).

### Step 6: Substitute the Units into the Formula
Substituting the units into the expression for electric polarization:
\[ P = \frac{\text{C}}{\text{m}^2} \]

### Step 7: Conclusion
Thus, the SI unit of electric polarization is:
\[ \text{Coulomb per meter squared (C/m}^2\text{)} \]

### Final Answer
The SI unit of electric polarization is **Coulomb per meter squared (C/m²)**.

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