Capacitance Calculator

Find capacitance from stored charge and voltage.

Capacitance (F) 0
Capacitance (µF) 20

Formula: C = Q ÷ V

Step-by-step with your numbers:
1. Values used:
2. Charge = 0.0001 C
3. Voltage = 5 V
4.
5. Capacitance = Charge / Voltage = 0.0001 / 5 = 0F
6. Capacitance = 20µF
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Capacitance measures how much charge a component stores per volt.

How the Math Works

The Capacitance Calculator uses the fundamental formula C = Q ÷ V, where capacitance (C) is measured in farads (F), charge (Q) in coulombs (C), and voltage (V) in volts (V). This equation defines capacitance as the ratio of stored electric charge to the voltage across the capacitor's terminals. By rearranging the formula, you can solve for any variable if the other two are known. For example, if a capacitor stores 5 coulombs of charge at 10 volts, its capacitance is 0.5 farads. This linear relationship ensures precise calculations for electrical components in circuit design.

Practical Applications

This calculation is essential for engineers and technicians when selecting capacitors for specific applications. For instance, in power supply circuits, capacitors smooth voltage fluctuations, and knowing their required capacitance ensures stable operation. Electronics hobbyists use it to troubleshoot faulty components by testing if a capacitor's actual capacitance matches its rated value. It's also critical in audio equipment design, where capacitors filter frequencies or block DC signals while allowing AC signals to pass. By accurately determining capacitance, professionals ensure components operate safely and efficiently within voltage and charge limits.

Day-to-Day Use

Capacitance calculations impact everyday technology, from smartphones storing energy in capacitors to cars using them in ignition systems. When replacing a blown capacitor in a device, knowing the correct capacitance prevents damage from mismatched components. Even in simple projects like building LED circuits, understanding capacitance helps choose the right capacitor to control timing or brightness. Additionally, capacitors in camera flashes store energy to produce sudden bursts of light, and their proper sizing ensures consistent performance. This knowledge empowers users to make informed decisions when repairing gadgets or creating DIY electronics projects at home.

Worked example

100 µC at 5 V → 20 µF.

FAQ

Why are farads usually tiny?

A farad is huge; real capacitors are typically pico- to micro-farads.