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The magnetic field of a plane electromagnetic wave is given by B⃗ = 2 × 10⁻⁸ sin(0.5 × 10³ x + 1.5 × 10¹¹ t) ȷ̂ T. The amplitude of the electric field would be

Asked in JEE Main 26th July 1st Shift 2022 · Writing B from E, and E from B

Answer: (3) 6 V m⁻¹ along z-axis

Step-by-step solution

E₀ = cB₀ = 3 × 10⁸ × 2 × 10⁻⁸ = 6 V m⁻¹

phase (kx + ω t) ⇒ propagation along -ı̂; B̂ = ȷ̂

-ı̂ = Ê × ȷ̂ ⇒ Ê = k̂, since k̂ × ȷ̂ = -ı̂

Why the other options are wrong

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