Farad: The SI Unit for Capacitance

The question asks to identify the physical quantity whose SI unit is the Farad. The Farad ($\text{F}$) is a standard unit used in physics and electrical engineering.

Understanding the Farad and Capacitance

The Farad is defined as the capacitance of a capacitor that holds one Coulomb of charge when one Volt is applied across it. Mathematically, this relationship is expressed as:

$\text{C} = \frac{\text{Q}}{\text{V}}$

Where:

• $\text{C}$ is the capacitance
• $\text{Q}$ is the charge in Coulombs ($\text{C}$)
• $\text{V}$ is the voltage in Volts ($\text{V}$)

From this formula, the unit of capacitance is Coulombs per Volt ($\text{C/V}$), which is defined as the Farad ($\text{F}$).

Therefore, the Farad is the SI unit of Capacitance.

Reviewing Other Options

Let's briefly look at the SI units for the other options to confirm:

• Magnetic flux: The SI unit for magnetic flux is the Weber ($\text{Wb}$).
• Inductance: The SI unit for inductance is the Henry ($\text{H}$).
• Resistance: The SI unit for resistance is the Ohm ($\Omega$).

Comparing these units, it is clear that the Farad is the SI unit specifically for Capacitance.

Conclusion

Based on the definitions and SI units of the given physical quantities, the Farad is the SI unit for Capacitance.