Electromagnetic waves: 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 × 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

Question

Quizplus · Accepted Answer

The largest value of the y-component of the electric field can be found using the relationship between the electric and magnetic fields in an electromagnetic wave, which is $E = cB$. Given $B = 1.25 \mu T = 1.25 \times 10^{-6} T$ and $c = 3.0 \times 10^8 m/s$, the maximum electric field $E = (3.0 \times 10^8 m/s) \times (1.25 \times 10^{-6} T) = 375 N/C$.

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