Show that the three-dimensional wave equation for light is satisfied by the following electric field, E (r, t) = ei (kr-wt) A r where A is a constant. What is the magnitude of the magnetic field associated with this electric field?
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- An electromagnetic wave in vacuum has an electric field amplitude of 510 V/m. Calculate the amplitude of the corresponding magnetic field. nTIn SI units, the electric field in an electromagnetic wave is described by E, = 106 sin(1.40 × 10’x – wt). (a) Find the amplitude of the corresponding magnetic field oscillations. UT (b) Find the wavelength å. um (c) Find the frequency f. HzWhat 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.
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- 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)iA 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?