SI unit of electric capacitance is :

Options

A. a coulomb (IC)
B. a volt (1V)
C. a farad (IF)
D. a volt-metre (1V - m)

Answer

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

### Step 1: Understand the Definition of Capacitance
Capacitance (C) is defined as the ability of a system to store electric charge per unit voltage. The formula for capacitance can be expressed as:
\[ C = \frac{Q}{V} \]
where:
- \( C \) is the capacitance,
- \( Q \) is the electric charge stored,
- \( V \) is the voltage (potential difference).

### Step 2: Identify the SI Units of Charge and Voltage
- The SI unit of electric charge (Q) is the Coulomb (C).
- The SI unit of voltage (V) is the Volt (V).

### Step 3: Substitute the SI Units into the Formula
Using the formula for capacitance:
\[ C = \frac{Q}{V} \]
we can substitute the units:
\[ \text{Capacitance (C)} = \frac{\text{Coulomb (C)}}{\text{Volt (V)}} \]

### Step 4: Define the SI Unit of Capacitance
The unit of capacitance can therefore be expressed as:
\[ \text{Capacitance (C)} = \text{Farad (F)} \]
where:
1 Farad = 1 Coulomb/Volt.

### Conclusion
Thus, the SI unit of electric capacitance is:
\[ \text{Farad (F)} \]

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