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In this work we study time-dependent precipitation of an electron beaminjected into a flaring atmosphere with a converging magnetic field byconsidering collisional and Ohmic losses with anisotropic scattering and pitchangle diffusion. Two injection regimes are investigated: short impulse andstationary injection. The effects of converging magnetic fields with differentspatial profiles are compared and the energy deposition produced by theprecipitating electrons at different depths and regimes is calculated. The timedependent Fokker-Planck equation for electron distribution in depth, energy andpitch angle was solved numerically by using the summary approximation method.It was found that steady state injection is established for beam electrons at0.07-0.2 seconds after the injection onset depending on the initial beamparameters. Energy deposition by a stationary beam is strongly dependent on aself-induced electric field but less on a magnetic field convergence. Energydepositions by short electron impulses are found to be insensitive to theself-induced electric field but are strongly affected by a magneticconvergence. Short beam impulses are shown to produce sharp asymmetric hardX-ray bursts within a millisecond timescale often observed in solar flares.

Stationary and impulsive injection of electron beams in converging magnetic field