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Capacitor Voltage Calculator

Capacitor Voltage Formula:

\[ V = \frac{Q}{C} \]

coulombs
farads

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1. What is the Capacitor Voltage Formula?

The capacitor voltage formula (V = Q/C) calculates the voltage across a capacitor based on the charge stored (Q) and the capacitance (C). This fundamental equation is derived from the definition of capacitance.

2. How Does the Calculator Work?

The calculator uses the capacitor voltage formula:

\[ V = \frac{Q}{C} \]

Where:

Explanation: The formula shows that voltage is directly proportional to charge and inversely proportional to capacitance.

3. Importance of Voltage Calculation

Details: Calculating capacitor voltage is essential for circuit design, energy storage analysis, and ensuring components operate within their rated voltage limits to prevent damage.

4. Using the Calculator

Tips: Enter charge in coulombs and capacitance in farads. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between charge and voltage in a capacitor?
A: Charge and voltage have a linear relationship in a capacitor (Q = C × V), meaning voltage increases proportionally with charge for a given capacitance.

Q2: How does capacitance affect voltage?
A: For a given amount of charge, a larger capacitance results in a lower voltage, while a smaller capacitance results in a higher voltage.

Q3: What are typical units used for capacitance?
A: While farads are the SI unit, capacitors are often rated in microfarads (μF), nanofarads (nF), or picofarads (pF) in practical applications.

Q4: Can this formula be used for all types of capacitors?
A: Yes, the formula V = Q/C applies to all capacitor types, though real-world capacitors may have additional considerations like equivalent series resistance.

Q5: What is the energy stored in a capacitor?
A: The energy stored in a capacitor can be calculated using E = ½CV² or E = ½Q²/C, where E is energy in joules.

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