What is the dimension of a capacitor's capacitance?

What is the dimension of a capacitor's capacitance?

• A. Energy per volt
• B. Charge per voltage
• C. Voltage per charge
• D. Current per voltage

Answer: (B)

The dimension of a capacitor's capacitance is best described as charge per voltage. Capacitance is defined as the ability of a system to store electric charge per unit voltage applied across it. The relationship is expressed mathematically by the formula C = Q/V, where C represents capacitance in farads, Q is the charge in coulombs, and V is the voltage in volts. This indicates that capacitance quantifies how much charge can be stored for a given voltage. Furthermore, this understanding is crucial in applications involving capacitors, such as filtering, timing circuits, and energy storage. Recognizing that capacitance relates directly to the ratio of charge stored to the voltage across the capacitor is fundamental for analyzing and designing electrical circuits.

The dimension of a capacitor's capacitance is best described as charge per voltage. Capacitance is defined as the ability of a system to store electric charge per unit voltage applied across it. The relationship is expressed mathematically by the formula C = Q/V, where C represents capacitance in farads, Q is the charge in coulombs, and V is the voltage in volts. This indicates that capacitance quantifies how much charge can be stored for a given voltage.

Furthermore, this understanding is crucial in applications involving capacitors, such as filtering, timing circuits, and energy storage. Recognizing that capacitance relates directly to the ratio of charge stored to the voltage across the capacitor is fundamental for analyzing and designing electrical circuits.