Problem 4: E-field near a hydrogen atom Find the E-field in a hydrogen atom. Quantum mechanics tells us that the electron is effectively "smeared out", so the electron's resulting contribution to the charge density is p(r) = poexp(-2r/do), where do is the Bohr radius. (Hint: Don't forget to normalize p so that the electron's charge is -e. This charge density is not uniform, so you must integrate to get enclosed charge. Also, don't forget there is also a pointlike proton in the middle of this atom!) Sketch and briefly discuss your result (compare the E-field you get to what you would have from the proton alone)