Task 4 (25 points) Consider the following set of standard Maxwell's Equations: V-E = E V.B=0 VXE = - V x B= (J + 8t BE where the following definitions of the variables are given as below: E is the electric field p is the charge density, & is the free space permittivity given by 8.854188x10-12 F-m-1 B is the magnetic field, J is the current density, and u is the free space permeability, given by 4 x 10-7 N/A E is the free space permittivity, given by 8.854188x10-12 F-m-1 Mo is the free space permeability, given by 4 x 10-7 N/A In addition, you are given the permittivity and permeability for free space as follows: b) Which equation came from the Gauss's law? (1) (2) c) Which equation was an extension of the Ampere's law? (3) a) In the above equations, which equation has a term for the displacement current. [2 pts] d) Which equation came from the Faraday's law? (4) [1 pts] [1 pts] [1 pts] d) Derive the speed of light in free space using the above Maxwell's equations. [15 pts] e) Calculate the speed of light in water, given that the relative permittivity of water is 78.4. [5 pts] 7