A sinusoidal plane electromagnetic wave travels in a vacuum in the x direction. The period of the wave, T, is 9.8 x 10^-8 s.
(a) Express the wavelength of the wave, λ, in terms of T and the speed of light, c.
(b) Solve for the numerical value of λ in m.
(c) Write the equation of the frequency, f, in terms of T.
(d) Solve for the numerical value of f in Hz.
(d) The magnetic field reaches its max value, B_max = 4.1 x 10^-6 T, in the z direction at some point and at some instant. Express the magnitude of the electric field at this position and time, E_max, in terms of B_max.
(f) Solve for the numerical value of E_max in V/m.
(g) What is the direction of the electric field at this position and time?