Example 13.1: The wave function of a light wave is E (z,t) = 10° sin t (3x10° x-9x10t) (a) determine the speed, wavelength, frequency and period of the wave, (b) determine the magnetic field associated with the wave.
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- An electromagnetic wave has a peak magnetic field component of magnitude 1.5 x 10^-7 T and peak electric field component of 45 N/C. What is the value of the wave intensit? [40 = 4mx10-7 T.m/A] O 2.69 W/m 2 O 8.67 W/m^2 O 10.9 W/m 2 4.47 W/m 2A plane electromagnetic wave varies sinusoidally at 90.0 MHz as it travels in the positive x-direction. The peak value of the electric field is 2 mV/m, and is directed along the positive x-direction. Determine: the wavelength, the period the peak value of the magnetic field. Write expressions in SI units for the variations in space and time of both the electric and magnetic fields. Include both numerical values and subscripts to indicate direction coordinates.The electric component of a beam of polarized light is Ey=(5.21 V/m) sin((1.08 x 106 m ¹)z + wt]. (a) Write an expression for the magnetic field component of the wave, including a value for w. What are the (b) wavelength, (c) period, and (d) intensity of this light? (e) Parallel to which axis does the magnetic field oscillate? (f) In which region of the electromagnetic spectrum is this wave? (a) B=(i i (b) Number i (c) Number i )t] ✓) sin[(i si Units Units ×106 ✓ )2 + (
- Consider an electromagnetic wave with a maximum magnetic field strength of 7.5 × 10-4 T.Randomized VariablesB = 7.5 × 10-4 T What is the maximum electric field strength in the wave in kV/m?At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by É = -3.81 × 103k V/m and B = -1.27 x 10¬1'i T. Find the Poynting vector for this wave. (Express your answer in vector form.) S = W/m?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.
- The electric component of a beam of polarized light is Ey = (5.08 V/m) sin[(1.10 × 10° m-4)z + wt). (a) Write an expression for the magnetic field component of the wave, including a value for w. What are the (b) wavelength, (c) period, and (d) intensity of this light? (e) Parallel to which axis does the magnetic field oscillate? (f) In which region of the electromagnetic spectrum is this wave? (a) Bx = ( i ) sin[( i x106 v )z +( i )t] (b) Number i Units (c) Number i Units (d) Number i Units (e) (f) > >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?