Which of the following is the correct formula for capacitance?

Which of the following is the correct formula for capacitance?

• A. C = Q × V
• B. C = V/Q
• C. C = Q/V
• D. C = I/R

Answer: (C)

Capacitance is defined as the ability of a capacitor to store charge per unit voltage and is mathematically represented by the formula C = Q/V. In this equation, C denotes capacitance measured in farads (F), Q represents the charge stored in the capacitor measured in coulombs (C), and V is the voltage across the capacitor measured in volts (V). This relationship indicates that the capacitance of a capacitor increases if either the charge is increased or the voltage is decreased. Understanding this formula is crucial for analyzing circuit behavior involving capacitors, as it allows one to determine how much charge a capacitor can hold at a given voltage. The other formulas do not correctly represent the concept of capacitance. For example, multiplying charge and voltage in the incorrect context does not define capacitance, nor does the correct relationships encapsulated in Ohm’s Law (current and resistance) relate to capacitance in this context.

Capacitance is defined as the ability of a capacitor to store charge per unit voltage and is mathematically represented by the formula C = Q/V. In this equation, C denotes capacitance measured in farads (F), Q represents the charge stored in the capacitor measured in coulombs (C), and V is the voltage across the capacitor measured in volts (V).

This relationship indicates that the capacitance of a capacitor increases if either the charge is increased or the voltage is decreased. Understanding this formula is crucial for analyzing circuit behavior involving capacitors, as it allows one to determine how much charge a capacitor can hold at a given voltage.

The other formulas do not correctly represent the concept of capacitance. For example, multiplying charge and voltage in the incorrect context does not define capacitance, nor does the correct relationships encapsulated in Ohm’s Law (current and resistance) relate to capacitance in this context.