Hello all, I can't figure out why it is impossible to have a radial electrical field within a solenoid. My gut tells me there would be one. For that matter, I also don't understand why there is no radial component surrounding a current carrying wire. Considering gauss' law has not helped me so far since I can't restrict the radial and longitudinal components of flux. I also tried to consider faraday's law by reasoning that the product (b field) of the curl must be along the axis (z direction) in cylindrical coordinates but that just created more conditions on the components of E. If anyone can help it would be really appreciated, I might be a little butthurt since I spent the majority of my exam time puzzling over this an consequently ran out of time. Whoops!