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Siemens Converter

Convert Siemens to Quantized Hall Conductance and more • 68 conversions

Result

0

1 0
Conversion Formula
1 = ---
Quick Reference
1 = 1
10 = 10
50 = 50
100 = 100
500 = 500
1000 = 1000

Unit Explanations

SiemensS

Source Unit

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.

S = A/V

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 Conductancee²/h

Target Unit

Quantized Hall conductance is a fundamental physical property observed in two-dimensional electron systems, particularly in the context of the Quantum Hall Effect (QHE). It is defined as the ratio of the electrical current flowing through a material to the voltage across it, with the unique aspect being that this conductance occurs in discrete quantized values. The quantized Hall conductance is represented by the formula e²/h (where e is the elementary charge and h is Planck's constant), indicating that it takes on integer multiples of this value. This quantization occurs due to the topological properties of the electron states in strong magnetic fields, leading to a robust and quantized value that remains stable even under variations in temperature and material imperfections.

G = n * (e²/h)

Current Use

Quantized Hall conductance is critically important in various scientific and industrial applications. It is primarily used as a standard for electrical resistance, especially in metrology labs worldwide. The quantized Hall plateau provides an accurate method for resistance measurement, which is fundamental for calibrating electrical instruments. Industries including semiconductor manufacturing, materials science, and nanotechnology utilize this concept for characterizing two-dimensional materials and devices. Countries such as the United States, Germany, and Japan are at the forefront of research and application of quantum Hall conductance, facilitating advancements in quantum computing and electronic devices. Furthermore, the implications of this phenomenon extend to potential applications in quantum information systems and advanced sensor technologies.

Fun Fact

The quantized Hall conductance values are incredibly precise, leading to their use in defining the standard for electrical resistance.

Decimals:
Scientific:OFF

Result

0

1
0
Conversion Formula
1 = ...
1→1
10→10
100→100
1000→1000

šŸ“Conversion Formula

= Ɨ 1.00000

How to Convert

To convert to , multiply the value by 1.00000. This conversion factor represents the ratio between these two units.

Quick Examples

1
=
1.000
10
=
10.00
100
=
100.0

šŸ’” Pro Tip: For the reverse conversion ( → ), divide by the conversion factor instead of multiplying.

S

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.

1867: Werner von Siemens founded the...1960: The siemens was officially ado...

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.

Electrical EngineeringTelecommunicationsElectronicsMaterials Science

šŸ’” 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.

šŸ“ Real-World Examples

0.005 S
Conductance of a copper wire
0.01 S
Conductance of a resistor
0.1 S
Conductance in a circuit
0.2 S
Conductance of a saline solution
0.05 S
Conductance of a semiconductor
0.03 S
Conductance in a capacitor

šŸ”— Related Units

Ohm (Resistance is the reciprocal of conductance; 1 S = 1/Ī©.)Ampere (Conductance is defined as amperes per volt; 1 S = 1 A/V.)Volt (Voltage is essential in the conductance equation; G = I/V.)Mho (Mho is an older name for siemens, representing the same unit.)Siemens per Meter (Used for conductivity, indicating conductance per unit length.)Farad (Farads measure capacitance, which is related to conductance in AC circuits.)
e²/h

Quantized Hall Conductance

electric • Non-SI

Definition

Quantized Hall conductance is a fundamental physical property observed in two-dimensional electron systems, particularly in the context of the Quantum Hall Effect (QHE). It is defined as the ratio of the electrical current flowing through a material to the voltage across it, with the unique aspect being that this conductance occurs in discrete quantized values. The quantized Hall conductance is represented by the formula e²/h (where e is the elementary charge and h is Planck's constant), indicating that it takes on integer multiples of this value. This quantization occurs due to the topological properties of the electron states in strong magnetic fields, leading to a robust and quantized value that remains stable even under variations in temperature and material imperfections.

History & Origin

The discovery of quantized Hall conductance is intrinsically linked to the Quantum Hall Effect, which was first observed in 1980 by Klaus von Klitzing. His experiments with semiconductors in strong magnetic fields revealed that the Hall conductance is quantized in discrete steps, leading to profound implications in the fields of condensed matter physics and metrology. This phenomenon is considered a hallmark of quantum physics, showcasing the behavior of electrons in low-dimensional systems. The behavior observed in these systems is a consequence of the quantization of energy levels in the presence of a magnetic field, creating a unique platform for studying quantum effects at macroscopic scales.

Etymology: The term 'quantized' refers to the discrete values that the Hall conductance can take, originating from the word 'quantum', which denotes the smallest possible discrete unit of any physical property.

1980: Klaus von Klitzing discovers t...1985: Fractional quantum Hall effect...

Current Use

Quantized Hall conductance is critically important in various scientific and industrial applications. It is primarily used as a standard for electrical resistance, especially in metrology labs worldwide. The quantized Hall plateau provides an accurate method for resistance measurement, which is fundamental for calibrating electrical instruments. Industries including semiconductor manufacturing, materials science, and nanotechnology utilize this concept for characterizing two-dimensional materials and devices. Countries such as the United States, Germany, and Japan are at the forefront of research and application of quantum Hall conductance, facilitating advancements in quantum computing and electronic devices. Furthermore, the implications of this phenomenon extend to potential applications in quantum information systems and advanced sensor technologies.

MetrologySemiconductorsNanotechnology

šŸ’” Fun Facts

  • •The quantized Hall conductance values are incredibly precise, leading to their use in defining the standard for electrical resistance.
  • •The Quantum Hall Effect was a pivotal moment in condensed matter physics, leading to numerous advancements in understanding quantum systems.
  • •The phenomenon has been used to test fundamental theories in physics, including those related to topology and phase transitions.

šŸ“ Real-World Examples

1 e²/h
Measuring the resistance of a quantum Hall device at low temperatures.
2 e²/h
Calibrating equipment in a metrology laboratory using the quantum Hall effect.
3 e²/h
Characterizing a two-dimensional material like graphene under strong magnetic fields.
4 e²/h
Developing advanced quantum computing systems that rely on topological states.
0.5 e²/h
Researching fractional quantum Hall states in a laboratory setting.
1.5 e²/h
Testing semiconductor devices in high magnetic fields.

šŸ”— Related Units

Hall Conductance (Relates to quantized Hall conductance as a continuous measure of conductance.)Ohm (Quantized Hall conductance can be expressed in terms of ohms when considering standard resistance.)Siemens (Conductance measured in siemens relates to quantized Hall conductance as a unit of electrical conductance.)Quantum Resistance (Quantum Hall conductance serves as a standard for quantum resistance.)Volt (Voltage is a critical component in defining Hall conductance.)Ampere (Current flowing through a conductor relates to Hall conductance measurements.)

Frequently Asked Questions

How do I convert to ?ā–¼

To convert to , multiply your value by 1. For example, 10 equals 10 .

What is the formula for to conversion?ā–¼

The formula is: = Ɨ 1. This conversion factor is based on international standards.

Is this to converter accurate?ā–¼

Yes! MetricConv uses internationally standardized conversion factors from organizations like NIST and ISO. Our calculations support up to 15 decimal places of precision, making it suitable for scientific, engineering, and everyday calculations.

Can I convert back to ?ā–¼

Absolutely! You can use the swap button (⇄) in the converter above to reverse the conversion direction, or visit our to converter.

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