06.01.2015 Views

Magnetic Fields and Magnetic Diagnostics for Tokamak Plasmas

Magnetic Fields and Magnetic Diagnostics for Tokamak Plasmas

Magnetic Fields and Magnetic Diagnostics for Tokamak Plasmas

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

<strong>Magnetic</strong> fields <strong>and</strong> tokamak plasmas<br />

Alan Wootton<br />

Figure 18.5. Current density profiles <strong>for</strong> TNT<br />

Given the current density we can also attempt to deduce the safety factor q.<br />

Internal magnetic measurements are also used to determine the internal electric field. From<br />

Faraday's law<br />

∫<br />

l<br />

E • dl = − d ⎛<br />

⎜<br />

dt ⎝<br />

∫<br />

S<br />

⎞<br />

B •ndS⎟ 18.8<br />

⎠<br />

we have, applying this to the geometry of Figure 18.6,<br />

a<br />

E φ<br />

( r) = E φ<br />

( a) − ∫ d B<br />

dt<br />

θ<br />

dr 18.9<br />

r<br />

-E θ<br />

- E φ<br />

E<br />

φ<br />

Figure 18.6. The geometry used to describe the<br />

measurements of internal electric field<br />

137

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!