Siemens Converter
Convert Siemens to Quantized Hall Resistance and more • 68 conversions
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Unit Explanations
SiemensS
Source UnitThe siemens (symbol: S) is the SI unit of electrical conductance, defined as the reciprocal of resistance in ohms. One siemens is equivalent to one ampere per volt, which can be expressed as S = A/V. This unit is used to measure how easily electricity can flow through a material or circuit. The siemens is a derived unit, belonging to the International System of Units (SI), and was adopted in 1960 during the 11th General Conference on Weights and Measures. It is named after the German inventor and electrical engineer Werner von Siemens, who made significant contributions to the development of electrical engineering.
Current Use
Today, the siemens is widely utilized across various industries for measuring electrical conductance. It is an essential unit in electrical engineering, especially in the design and analysis of circuits. The telecommunications industry employs siemens to assess the conductance of transmission lines and cables, ensuring efficient signal transmission. In the field of electronics, components such as resistors, capacitors, and inductors are evaluated using siemens to determine their behavior in circuits. Furthermore, in the realm of materials science, researchers use this unit to characterize the electrical properties of materials, aiding in the development of conductive materials for various applications. Countries worldwide, including the USA, Germany, and Japan, utilize the siemens in both educational and professional settings, reinforcing its importance in global electrical engineering practices.
Fun Fact
The symbol for siemens, 'S', is a tribute to the inventor Werner von Siemens.
Quantized Hall ResistanceR_H
Target UnitQuantized Hall resistance, denoted as R_H, refers to the precise and quantized values of electrical resistance that occur in a two-dimensional electron system subjected to strong magnetic fields at very low temperatures. It is expressed as R_H = h/(e^2 * n), where h is Planck's constant, e is the elementary charge, and n is the filling factor, an integer that describes the number of filled Landau levels in the system. This phenomenon is a result of the quantization of the Hall conductance, leading to plateaus in the Hall resistance at certain magnetic field strengths. The quantized Hall resistance is crucial for defining the standard of electrical resistance and has significant implications in the realm of metrology and quantum physics.
Current Use
Quantized Hall resistance is widely utilized in metrology laboratories around the world as a primary standard for electrical resistance. The precision of this quantized value, defined by fundamental constants, allows for highly accurate measurements that facilitate the calibration of resistance standards. Research institutions and national metrology organizations, such as NIST in the United States and PTB in Germany, employ this phenomenon to ensure the reliability and accuracy of electrical measurements. Additionally, the quantized Hall resistance is pivotal in the development of quantum computing and advanced semiconductor research, where understanding electron behavior in low-dimensional systems is essential. Its integration into practical applications extends to devices requiring precise electronic measurements, impacting sectors such as telecommunications, electronics manufacturing, and materials science.
Fun Fact
The quantum Hall effect is a quintessential example of quantum physics manifesting in macroscopic systems.
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= × 1.00000How to Convert
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Siemens
electric • SI Unit
Definition
The siemens (symbol: S) is the SI unit of electrical conductance, defined as the reciprocal of resistance in ohms. One siemens is equivalent to one ampere per volt, which can be expressed as S = A/V. This unit is used to measure how easily electricity can flow through a material or circuit. The siemens is a derived unit, belonging to the International System of Units (SI), and was adopted in 1960 during the 11th General Conference on Weights and Measures. It is named after the German inventor and electrical engineer Werner von Siemens, who made significant contributions to the development of electrical engineering.
History & Origin
The concept of electrical conductance dates back to the early experiments with electricity, particularly in the 19th century. The formal definition and measurement of conductance emerged as researchers like Georg Simon Ohm established the relationship between voltage, current, and resistance. Ohm's Law (V = IR) laid the groundwork for understanding electrical circuits. The need for a standardized unit came as electrical systems became more complex, and the importance of conductance in circuit design and analysis increased. The siemens was introduced as a unit of conductance to formalize this aspect of electrical engineering.
Etymology: The term 'siemens' is derived from the name of Werner von Siemens, a prominent figure in the field of electrical engineering, reflecting his significant contributions to the development of electrical systems and technology.
Current Use
Today, the siemens is widely utilized across various industries for measuring electrical conductance. It is an essential unit in electrical engineering, especially in the design and analysis of circuits. The telecommunications industry employs siemens to assess the conductance of transmission lines and cables, ensuring efficient signal transmission. In the field of electronics, components such as resistors, capacitors, and inductors are evaluated using siemens to determine their behavior in circuits. Furthermore, in the realm of materials science, researchers use this unit to characterize the electrical properties of materials, aiding in the development of conductive materials for various applications. Countries worldwide, including the USA, Germany, and Japan, utilize the siemens in both educational and professional settings, reinforcing its importance in global electrical engineering practices.
💡 Fun Facts
- •The symbol for siemens, 'S', is a tribute to the inventor Werner von Siemens.
- •The siemens was introduced as an SI unit to standardize conductance measurements.
- •Conductance is the reciprocal of resistance, making siemens an essential unit in circuit analysis.
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Quantized Hall Resistance
electric • Non-SI
Definition
Quantized Hall resistance, denoted as R_H, refers to the precise and quantized values of electrical resistance that occur in a two-dimensional electron system subjected to strong magnetic fields at very low temperatures. It is expressed as R_H = h/(e^2 * n), where h is Planck's constant, e is the elementary charge, and n is the filling factor, an integer that describes the number of filled Landau levels in the system. This phenomenon is a result of the quantization of the Hall conductance, leading to plateaus in the Hall resistance at certain magnetic field strengths. The quantized Hall resistance is crucial for defining the standard of electrical resistance and has significant implications in the realm of metrology and quantum physics.
History & Origin
The concept of quantized Hall resistance emerged from the study of the quantum Hall effect, first observed in 1980 by Klaus von Klitzing. This groundbreaking discovery occurred while investigating the electrical properties of two-dimensional electron systems, specifically in semiconductor heterostructures at low temperatures. Von Klitzing's work demonstrated that under the influence of a magnetic field, the Hall resistance of these materials takes on quantized values, a phenomenon that challenged existing theories of electrical conduction. This marked a pivotal moment in condensed matter physics and led to a deeper understanding of quantum phenomena in solid-state systems.
Etymology: The term 'quantized' refers to the discrete nature of the values observed, derived from quantum mechanics, while 'Hall' honors Edwin Hall, who discovered the Hall effect in 1879.
Current Use
Quantized Hall resistance is widely utilized in metrology laboratories around the world as a primary standard for electrical resistance. The precision of this quantized value, defined by fundamental constants, allows for highly accurate measurements that facilitate the calibration of resistance standards. Research institutions and national metrology organizations, such as NIST in the United States and PTB in Germany, employ this phenomenon to ensure the reliability and accuracy of electrical measurements. Additionally, the quantized Hall resistance is pivotal in the development of quantum computing and advanced semiconductor research, where understanding electron behavior in low-dimensional systems is essential. Its integration into practical applications extends to devices requiring precise electronic measurements, impacting sectors such as telecommunications, electronics manufacturing, and materials science.
💡 Fun Facts
- •The quantum Hall effect is a quintessential example of quantum physics manifesting in macroscopic systems.
- •Klaus von Klitzing received the Nobel Prize in Physics in 1985 for his discovery of the quantum Hall effect.
- •The quantized values of Hall resistance are so precise that they are used to redefine the ohm in terms of fundamental physical constants.
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