The magnetic field in a plane electromagnetic wave is Bᵧ = (3.5 × 10⁻⁷) sin(1.5 × 10³x + 0.5 × 10¹¹t) T. The corresponding electric field will be
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The magnetic field in a plane electromagnetic wave is Bᵧ = (3.5 × 10⁻⁷) sin(1.5 × 10³x + 0.5 × 10¹¹t) T. The corresponding electric field will be

G1 Physics · Accepted Answer

For an electromagnetic wave in free space: E₀ = cB₀ Given: B₀ = 3.5 × 10⁻⁷ T Therefore: E₀ = 3 × 10⁸ × 3.5 × 10⁻⁷ = 105 V m⁻¹ Hence: E(z) = 105 sin(1.5 × 10³x + 0.5 × 10¹¹t) V m⁻¹ Source note: the numerical coefficients in the wave expression are mutually inconsistent for the stated wave speed, but the keyed option is B.