This is well known to everyone that clouds carry electric charges and cumulonimbus clouds contain huge amount of electricity. It is also known from Maxwell's equations that moving particles induce magnetic field around them. I am sorry if I am missing any concept here but I have a question,
Should there also be a magnetic field around cumulonimbus clouds due to the presence and motion of charged particles in them?
I want to know about field studies reporting the intensity of the magnetic field in different cloud systems. I am interested in knowing about cold clouds as the interaction of solid hydrometeors could be prominent in them. I also want to know if the intensity is sufficient enough to have an interaction with magnetic field of earth. I see recent modeling studies are being performed on electric fields, but the mention of magnetic field is still missing in them.