Vv. Zaitsev et al., LRC-CIRCUIT ANALOG OF CURRENT-CARRYING MAGNETIC LOOP - DIAGNOSTICS OFELECTRIC PARAMETERS, Astronomy and astrophysics (Berlin), 337(3), 1998, pp. 887-896
The equation for an equivalent LRC-circuit of current-carrying magneti
c loop is obtained. It is suggested that the electric current, driven
by the converging flows in the photosphere, flows trough the coronal p
art of a loop from one footpoint to another, and closes deep in the ph
otosphere where plasma beta beta approximate to 1. In a self-consisten
t approach both the capacitance and the resistance of a LRC-circuit de
pend on the electric current along the loop. This opens new possibilit
ies for the diagnostics of electric currents in coronal loops, by usin
g data on high-quality modulation of microwave emission during flares.
Spectral analysis of the Metsahovi millimeter wave solar data for 16
solar flares have revealed modulation periods 0.7-17 s which give curr
ents I approximate to 6 x 10(10)-1.4 x 10(12) A. For two of the events
we could compare the total energy of the electric current stored in t
he magnetic loop with the energy released in the flare. Only 5% of the
total energy of the electric circuit was released in both flares, sug
gesting a very low influence of these flares on the magnetic loop stru
cture. In the studied events there was a tendency to decrease the ener
gy release with the increase of the current. This tendency is interpre
ted in terms of plasma beta, which is getting smaller as the current g
rows. Therefore the plasma instabilities responsible for the flare pro
cess manifestate themselves weakly with the increase of the current.