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(Criou a página com "(F. F. ~ Chen 2.19) A plasma is created in a toroidal chamber with average radius \(R=10\) cm and square cross section of size \(a=1\)~cm. The magnetic fiel is generated by...") |
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| − | (F. F. ~ Chen 2.19) A plasma is created in a toroidal chamber with average radius \(R=10\) cm and square cross section of size \(a=1\) | + | (F. F. ~ Chen 2.19) A plasma is created in a toroidal chamber with average radius \(R=10\) cm and square cross section of size \(a=1\) cm. |
The magnetic fiel is generated by an electrical current $I$ along the symmetry axis. | The magnetic fiel is generated by an electrical current $I$ along the symmetry axis. | ||
| − | The plasma is Maxwellian with temperature \(kT=100 | + | The plasma is Maxwellian with temperature \(kT=100\) eV and density \(n_0=10^{19}\) m\(^{-3}\).There is no applied electric field. |
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(b) Calculate the rate of charge accumulation (Coulomb per second) due to the curvature and gradient drifts on the upper part of the chamber. | (b) Calculate the rate of charge accumulation (Coulomb per second) due to the curvature and gradient drifts on the upper part of the chamber. | ||
| − | The magnetic field in the center of the chamber is 1 T and you can use the approximation | + | The magnetic field in the center of the chamber is 1 T and you can use the approximation \(R \gg a\) if necessary. |
Edição atual desde as 17h10min de 17 de junho de 2017
(F. F. ~ Chen 2.19) A plasma is created in a toroidal chamber with average radius \(R=10\) cm and square cross section of size \(a=1\) cm. The magnetic fiel is generated by an electrical current $I$ along the symmetry axis. The plasma is Maxwellian with temperature \(kT=100\) eV and density \(n_0=10^{19}\) m\(^{-3}\).There is no applied electric field.
(a) Sketch the typical drift orbits in the non-uniform \(\vec{B}\) field, for both positive ions and electrons with \(v_\parallel=0\).
(b) Calculate the rate of charge accumulation (Coulomb per second) due to the curvature and gradient drifts on the upper part of the chamber. The magnetic field in the center of the chamber is 1 T and you can use the approximation \(R \gg a\) if necessary.