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(Criou a página com "(F. F.Chen 3.6) An isothermal plasma is confined between the planes \(x=\pm a\) in a magnetic field \(\vec{B}=B_0\vec{u}_z\). The density distribution is \(n(x)=n_0\left(1-x...") |
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An isothermal plasma is confined between the planes \(x=\pm a\) in a magnetic field \(\vec{B}=B_0\vec{u}_z\). | An isothermal plasma is confined between the planes \(x=\pm a\) in a magnetic field \(\vec{B}=B_0\vec{u}_z\). | ||
The density distribution is \(n(x)=n_0\left(1-x^2/a^2\right)\). | The density distribution is \(n(x)=n_0\left(1-x^2/a^2\right)\). | ||
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| + | (a) Derive an expression for the electron diamagnetic drift velocity, as a function of \(x\). | ||
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| + | (b) Draw a diagram showing the density profile and the direction of the electron diamagnetic drift on both sides of the midplane, | ||
| + | if \(\vec{B}\) points out of the paper. | ||
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| + | (c)Evaluate \(v_D\) at \(x=a/2$, if \(B=0.2\) T, \(kT_e=2$ eV and \(a=4\) cm. | ||
Revisão das 11h48min de 6 de julho de 2017
(F. F.Chen 3.6) An isothermal plasma is confined between the planes \(x=\pm a\) in a magnetic field \(\vec{B}=B_0\vec{u}_z\). The density distribution is \(n(x)=n_0\left(1-x^2/a^2\right)\).
(a) Derive an expression for the electron diamagnetic drift velocity, as a function of \(x\).
(b) Draw a diagram showing the density profile and the direction of the electron diamagnetic drift on both sides of the midplane, if \(\vec{B}\) points out of the paper.
(c)Evaluate \(v_D\) at \(x=a/2$, if \(B=0.2\) T, \(kT_e=2$ eV and \(a=4\) cm.