1. Consider an infinite cylindrical surface S of unit radius whose axis is the z-axis, placed in air. a) State Gauss' law of electrostatics. Suppose that S has a uniform unit surface charge density placed on it. Calculate the electric field inside and outside S. b) State Ampere's law of magnetostatics. Suppose that S has a uniform unit modulus surface current density flowing on it in the positive z-direction. Calculate the magnetic flux density inside and outside S. [10]