Problem 8: The magnetic field of an electromagnetic wave is described by B, = Bocos(kx - wt), where Bo = 2.5 x 10-6 T and w = 6.5 x 10' rad's. Randomized Variables Bo = 2.5 x 10-6 T = 6.5 x 10' rad/s Part (a) What is the amplitude of the corresponding electric field oscillations, Eo, in terms of Bo? E, = 8 9. HOME Bo AL 4 5 6. d 1 2 3. h 1 j END VOl BACKSPACE CLEAR m Submit Hint Feedback I give up! Part (b) Calculate the electric field E, in volts per meter. Part (c) What is the frequency of the electromagnetic wave, f, in terms of w? f= co( 2 x)

Hence show that the wave equation for the magnetic field is V²H+k²H=0 where k = ₁√√μ₁&

What is the magnetic field strength (B) for an electromagnetic wave that has an electric field strength E)=770 V/m? = T ) Note that you can enter the answer in scientific notation using "E": x.yz times 109 is represented as x.yzEq. For example, 1.23 x 10-9 can be entered as 1.23E-9.

Suppose you have an electric field as a result of superposition of two waves given by Ē(z, t) = Eo cos(kz - wt) + Eo cos(kz + wt)â. a. Simplify Ē(z, t) as one term and find its associated magnetic field b. Find the instantaneous and time-averaged energy density.

Suppose the magnetic field of an electromagnetic wave is given by B = (2.7 x 10-10) sin(kx - wt) T. (a) What is the average energy density of the magnetic field of this wave? J/m³ (b) What is the average energy density of the electric field? J/m³

The magnetic field component of a plane electromagnetic wave obeys the following expression. Determine the direction of the electric field component of the wave at t=0, y=0. negative y Onegative x O negative z Opositive z the xy plane Opositive x positive y B = Bo cos(ky+wt)i

A plane electromagnetic wave is traveling in a vacuum. The magnetic field is directed along the z-axis and given by: B, = 3.0µT sin ((1.0 × 107 )x - (3.0 × 1015 )t ) a) Determine the wavelength , of the wave. b) What is the frequency, f, of the wave in Hertz? c) Determine the maximum strength of the B-field. d) Determine the maximum strength of the E-field and it direction. e) Can you find a time and place when the B-field is zero? f) What is the strength of the E-field when the B-filed is zero?