A Plane Electromagnetic Wave Propagates in a Vacuum in the Z-Direction

question 45

Multiple Choice

A plane electromagnetic wave propagates in a vacuum in the z-direction. The wave has a wavelength of 10 m and the electric field is along the +x direction and has an amplitude of is 0.20 V/m, with one maximum at x = 0 and t = 0. What is the mathematical expression for the magnetic field?

• A)B_y = 0.067 × 10^-8sin[(0.63 m^-1)z - (2.1 × 10^-9 s^-1)t] T
• B)B_y = 0.067 × 10^-8sin[(0.63 m^-1)z + (2.1 × 10^-9 s^-1)t] T
• C)B_y = 0.067 × 10^-8cos[(0.63 m^-1)z + (1.9 × 10⁸ s^-1)t] T
• D)B_y = 0.067 × 10^-8cos[(10 m^-1)z - (2.1 × 10^-9 s^-1)t] T
• E)B_y = 0.067 × 10^-8cos[(0.63 m^-1)z - (1.9 × 10^-8 s^-1)t] T

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