hwk10 - k y in an equilibrium with a current J z x that...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics 762 Homework #10 Spring ’11 Dr. Drake Assignment due before noon on Monday May 9 1. Start from the linearized 2-D MHD equations for the tearing mode. Use the equations in space and time rather than in k-space. Derive the energy integral written down in class. Hint: You will have to do several integrations by parts. You can assume that the boundaries do not contribute. 2. Calculate the tearing mode stability parameter Δ 0 for a mode with wavevector
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: k y in an equilibrium with a current J z ( x ) that consists of a pedestal of half width L , i.e. , the current is constant in the region | x | < L and zero elsewhere and produces a magnetic field B y = B x/L for | x | < L , B y = B for x > L and B y =-B for x <-L . Plot Δ versus k y L . Calculate the marginal stability point. Calculate analytically an expression for Δ in the limit of k y L small....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online