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Poloidal beta and internal inductance measurement on HT-7 superconducting tokamak

B Shen1, Y W Sun, B N Wan

  • 1Institute of Plasma Physics, The Chinese Academy of Sciences, PO Box 1126, Hefei 230031, China. biaoshen@ipp.ac.cn

The Review of Scientific Instruments
|October 2, 2007
PubMed

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Calculation of Self-inductance

The self-inductance of a circuit, often simply called the inductance, is a purely geometric factor that depends only on the circuit component's structure. More specifically, it depends on the shape and size of the component that lets the flux pass through it, thus inducing an electric field that opposes any current passing through it.
Since the effect of the induced electric field and the back EMF generated depends on the rate of change of current and the self-inductance, the inductance...
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To calculate the inductance of a solid cylindrical conductor, consider a 1-meter section of a non-magnetic, current-carrying conductor with radius r. Disregarding end effects and assuming uniform current density, Ampere's law helps determine the magnetic field inside the conductor. This law states that the magnetic field intensity H is concentric and constant within the conductor.
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Magnetic Field Of A Current Loop

Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
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Torque On A Current Loop In A Magnetic Field

The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
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Toroids

A toroid is a closely wound donut-shaped coil constructed using a single  conducting wire. In general, it is assumed that a toriod consists of  multiple circular loops perpendicular to its axis.
When connected to a supply, the magnetic field generated in the toroid has field lines circular and concentric to its axis. Conventionally, the direction of this magnetic field is expressed using the right-hand rule. If the fingers of the right hand curl in the current direction, the thumb points in the...
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Self-Inductance

Mutual inductance arises when a current in one circuit produces a changing magnetic field that induces an emf in another circuit. On the other hand, self-inductance arises when the current passing through the circuit changes, creating a changing magnetic flux, resulting in inductance in the same circuit.
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