An electric field propagating in a lossless nonmagnetic medium is characterized by: E(y,t) = 100 cos(4 10t-0.1257y)a, V/m a) Find the wave amplitude, frequency, propagation velocity, wavelength, and relative permittivity of the medium. b) Find H(y, t) by using Faraday's Law and integrating over time. Hint: Page 10.3 in the Lecture 10 notes might come in handy here. Note #1: The curl operation is a little tricky, so keep track of vector components and unit vectors! Note #2: You can assume that any constants of integration are zero (i.e. f cosodo sine +Csino)