48 Centimeter = 5.341e-11 Farad
Conversion Formula
Unit Information
Centimeter
In the CGS electrostatic system, capacitance can be expressed in centimeters, where 1 centimeter of capacitance equals approximately 1.113 × 10⁻¹² farads. This unusual unit arises because in the CGS-ESU system, capacitance has dimensions of length. Used primarily in theoretical physics and historical contexts where the CGS system was prevalent. Important for understanding the fundamental relationships between electrical quantities and spatial dimensions in different unit systems.
Farad
The SI derived unit of electrical capacitance, named after English physicist Michael Faraday. Defined as the capacitance of a capacitor between whose plates a potential difference of one volt appears when charged with one coulomb of electricity. One farad represents a very large capacitance value, as most practical capacitors are measured in microfarads or smaller units. Fundamental to electronics and electrical engineering for characterizing energy storage in capacitors, filter design, timing circuits, and power conditioning systems. Essential for understanding energy storage principles in electrostatic systems and developing advanced capacitor technologies.
Conversion Tips
- Remember to check your decimal places for accuracy.
- This conversion is commonly used in international applications.
- Consider the context when choosing precision levels.
- Double-check calculations for critical applications.
Learn More About Capacitance
Scientific Overview
Capacitance is the ability of a system to store electrical energy in an electric field. It is measured in farads (F) and represents the ratio of electric charge to electric potential difference.
Historical Background
The concept of capacitance was developed in the 18th century with the invention of the Leyden jar. Michael Faraday conducted pioneering research on capacitance, and the unit farad is named after him.
Real-World Applications
Electronics
Capacitors store energy, filter signals, and tune circuits.
Power Systems
Capacitors improve power factor and stabilize voltage.
Memory Devices
Capacitive elements store data in DRAM and flash memory.
Sensors
Capacitive sensors detect proximity, position, and liquid levels.
Interesting Facts
- A 1-farad capacitor can store 1 coulomb of charge at 1 volt.
- Supercapacitors can have capacitances of thousands of farads.
- The human body has a capacitance of about 100 picofarads.
- Capacitors can charge and discharge millions of times without degradation.
Key Formulas
Capacitance Definition
C = Q/VParallel Plate
C = ε·A/dEnergy Storage
E = ½CV²RC Time Constant
τ = R·C