please help and show all work. Preparation for final exam! Problem 7. A Grave Wave A plane electromagnetic wave is sinusoidal with a frequency of 100 MHz. The wave's Poynting vector has the pr...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 48.0 m and the e field vibrates in the xy plane with an amplitude of 18.0 V/m. (a) Calculate the frequency of the wave. 6.25 MHz (b) Calculate the magnetic field B when the electric field has its maximum value in the negative y direction, magnitude. 0.13 What is the relationship between the amplitudes of the magnetic and electric fields in a...
An electromagnetic wave has a frequency of 110 MHZ and is travelling in a vacuum. The magnetic field is given by B^rightarrow (z, t) = (5.00 times 10^- 8 T) cos (Kz - omega t)i^. (Assume the electromagnetic wave is travelling in the k^direction. Find the wavelength of this wave. 2.72 m Find the electric field vector E^rightarrow (z, t). (Use the following as necessary: z, and t.) E^rightarrow (z, t) = V/m Determine the Poynting vector. (Use the following...
2.In air, an electromagnetic uniform plane wave of frequency f 300MHz has the wave vector に"E[x+y] and a phasor electric field at the origin ofE> (1+))2. Find (give units): (a) phasor electric field in terms of rectangular coordinate variables (b) associated phasor magnetic field in terms of rectangular coordinate variables (c) time-averaged power density (or time-averaged Poynting vector) carried by the wave (d) time-averaged power carried by the wave through an area of a square that occupies the region Os...
Problem 3: A sinusoidal plane electromagnetic wave travels in a vacuum in the x direction as shown in the graph. The period of the wave is T = 2.5 × 10-8 s. Randomized VariablesT = 2.5 × 10-8 s Part (a) Express the wavelength of the wave, λ, in terms of T and the speed of light, c. Part (b) Solve for the numerical value of λ in m. Part (c) Write the equation of the frequency, f, in terms...
A satellite 595 km above the earth's surface transmits sinusoidal electromagnetic waves of frequency 92.6 MHz uniformly in all directions, with a power of 25.0 kW. A- What is the intensity of these waves as they reach a receiver at the surface of the earth directly below the satellite? in W/m^2 B- What is the amplitude of the electric field at the receiver? in N/C C- What is the amplitude of the magnetic field at the receiver? in T D-...