Henry Kolesnik wrote:
"If I have a coil or solenoid and connect it to a battery I have a
current flow with a strong H field but I`m not certain about the E
field."

Resistance somewhere is limiting the current. The E field accompanies
the resistive voltage drop. Static fields don`t make waves. Only the
rate of change makes a disturbance which propagates in waves, E&M, which
generate each other.

Best regards, Richard Harrison, KB5WZI