If the z-component of the magnetic field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation B_z(x, t) = (1.25 μT) cos[(3800 m^-1)x - (1.14 × 10-¹² rad/s)t], what is the largest that the y component of the electric field can be? (c = 3.0 x 10⁸ m/s) A) 375 N/C B) 4.17 × 10^-15 N/C C) 3.75 × 10⁸ N/C D) 4.17 × 10^-9 N/C E) 1.25 × 10⁶ N/C

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Quizplus · Accepted Answer

The maximum electric field E_max is related to the maximum magnetic field B_max by E_max = c * B_max. Given B_max = 1.25 μT = 1.25 x 10^-6 T and c = 3.0 x 10^8 m/s, E_max = 3.0 x 10^8 m/s * 1.25 x 10^-6 T = 375 N/C.

If the Z-Component of the Magnetic Field of an Electromagnetic