Lefta): electric field induced from an electron beam injected in the solar corona and propagating out from the Sun for different levels of with a decreasing mean background electron density, normalised at . The top panel has . The remaining panels are normalised by from top to bottom. The black dashed line indicates E = 1 mV/m used as a lower limit for the probability distribution function. Right b): probability distribution functions of log E. The bin size is 0.15 in log space. The top panel has Δn/n(r) = 0 where the red dashed line representing the PDF of a Gaussian fit with similar mean and standard deviation. The remaining panels have normalised by Δn/n [1 AU] = 10^-2,10^-1.5,10^-1from top to bottom.