Maxwell's electromagnetic equations in a vacuum are given by; ob (faraday's law) (ampere's law), ▽ . e = 0 (gauss's law), ▽·b-0 (gauss's law for magnetism). 1 oe ▽ x b =-- where e - e(x, y, z, t) and b - b(r, y, z, t), are the electric and magnetic fields, and where c is the speed of light respectively (a) using the equations above, prove (b) prove the following vector calculus identity in r3, where f is a twice continuously differentiable vector field where v72 is the vector laplacian given by (c) hence derive the electromagnetic wave equation 02

Place several e-field sensors at a few points on different equipotential lines, and look at the relationship between the electric field and the equipotential lines. which statement is true? 1-at any point, the electric field is perpendicular to the equipotential line at that point, and it is directed toward lines of higher voltages. 2-at any point, the electric field is perpendicular to the equipotential line at that point, and it is directed toward lines of lower voltages. 3-at any point, the electric field is parallel to the equipotential line at that point.

Amajor difference radio waves, visible light, and gamma rays is the of the photons, which results in different photon frequencies and wavelengths

Which statement is true if the refractive index of medium a is greater than that of medium b? a. total internal reflection is possible when light travels from air to medium b to medium a. b. total internal reflection is possible when light travels from medium a to medium b. c. total internal reflection is possible when light travels from medium b to medium a. d. total internal reflection is possible when light travels from air to medium a. e. total internal reflection is possible when light travels from air to medium b.