42 Quantum resistance = 1.084e+6 Ohm
Conversion Formula
Unit Information
Quantum_resistance
A fundamental constant in quantum electrical transport, specifically referring to the quantized resistance values observed in quantum Hall effect and other mesoscopic systems. While not a conventional unit in the sense of ohm derivatives, it represents discrete resistance values that occur naturally in quantum mechanical systems. The most famous quantum resistance is the von Klitzing constant Rₖ = h/e² ≈ 25,812.80745 Ω, which serves as the resistance quantum in the integer quantum Hall effect. Essential for precision electrical metrology, fundamental constants determination, and quantum standards for electrical resistance.
Ohm
The SI derived unit of electrical resistance, named after German physicist Georg Simon Ohm. Defined as the resistance between two points of a conductor when a constant potential difference of one volt applied to these points produces a current of one ampere in the conductor. Fundamental to Ohm's law, which states that the current through a conductor is directly proportional to the voltage across it and inversely proportional to its resistance. Essential for characterizing conductive materials, circuit design, and electrical engineering applications worldwide.
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 Electric_resistance
Scientific Overview
Electric resistance is the opposition to the flow of electric current through a material. It converts electrical energy into heat and is measured in ohms (Ω). Resistance depends on material properties, dimensions, and temperature.
Historical Background
Georg Simon Ohm formulated Ohm's Law in 1827, establishing the fundamental relationship between voltage, current, and resistance. The unit ohm is named after him.
Real-World Applications
Electronics
Resistors control current flow and divide voltages in circuits.
Electrical Engineering
Resistance calculations determine power losses in transmission lines.
Materials Science
Resistivity measurements identify materials and detect defects.
Temperature Sensing
Thermistors use resistance changes to measure temperature.
Interesting Facts
- Copper wire has very low resistance, making it ideal for electrical wiring.
- The human body has a resistance of about 100,000 ohms when dry.
- Superconductors have exactly zero electrical resistance below critical temperature.
- Carbon resistors can withstand high temperatures and are very stable.
Key Formulas
Resistance Definition
R = V/IResistivity
R = ρ·L/APower Dissipation
P = I²R = V²/RTemperature Dependence
R = R₀[1 + α(T - T₀)]