In vacuum, the components of an EM wave are E_y = (50 V/m) cos [(5.0 m⁻¹)x + ωt], E_x = 0, and E_z = 0. What is the amplitude of the magnetic field for this wave? A) 5.00 × 10⁻⁷ T B) 1.67 × 10⁻⁷ T C) 2.00 × 10⁻⁷ T D) 1.50 × 10⁻⁶ T E) 1.33 × 10⁻⁶ T

Question

Quizplus · Accepted Answer

In vacuum, the amplitude of the magnetic field (B) is related to the amplitude of the electric field (E) by the equation B = E/c, where c is the speed of light. In this case, the amplitude of E_y is given as 50 V/m, so the amplitude of the magnetic field is: B = E/c = (50 V/m)/(3.00 × 108 m/s) = 1.67 × 10⁻⁷ T Therefore, the answer is choice B.

In Vacuum, the Components of an EM Wave Are Ey

In Vacuum, the Components of an EM Wave Are E_y