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The magnetic field component of a plane electromagnetic wave is given by Bz = 2 x 10⁻⁷ sin(0.5 x 10³ * x + 1.5 x 10¹¹ * t) tesla. Find the expression for the corresponding electric field.

1. Ez = 30*sqrt(2) sin(0.5 x 10³ * x + 1.5 x 10¹¹ * t) V/m
2. Ez = 60 sin(0.5 x 10³ * x + 1.5 x 10¹¹ * t) V/m
3. Ey = -30*sqrt(2) sin(0.5 x 10¹¹ * x + 1.5 x 10³ * t) V/m
4. Ey = -60 sin(0.5 x 10³ * x + 1.5 x 10¹¹ * t) V/m

Correct answer: Ey = -60 sin(0.5 x 10³ * x + 1.5 x 10¹¹ * t) V/m

Solution

E0 = c * B0 = 3x10⁸ * 2x10⁻⁷ = 60 V/m. The wave travels in -x direction. B is along z, propagation along -x: E x B must be along -x. With B along z-hat, E must be along -y-hat: Ey = -60 sin(...) V/m.

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