If the magnetic field in a plane electromagnetic wave is given by then what will be expression for electric field?

Engineering

Physics

Electromagnetic Waves

Question

If the magnetic field in a plane electromagnetic wave is given by $\vec{B} = 3 \times 10^{- 8} \sin (1 .6 \times 10^{3} x + 48 \times 10^{10} t) \hat{j} T,$ then what will be expression for electric field?

$\vec{E} = (9 \sin (1 .6 \times 10^{3} x + 48 \times 10^{10} t) \hat{k} V / m)$

$\vec{E} = (60 \sin (1 .6 \times 10^{3} x + 48 \times 10^{10} t) \hat{k} V / m)$

$\vec{E} = (3 \times 10^{- 8} \sin (1 .6 \times 10^{3} x + 48 \times 10^{10} t) \hat{i} V / m)$

$\vec{E} = (3 \times 10^{- 8} \sin (1 .6 \times 10^{3} x + 48 \times 10^{10} t) \hat{j} V / m)$

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$\frac{E_{0}}{B_{0}} = C$ (speed of light in vacuum)

E₀ = B₀C = 3 × 10^–8 × 3 × 10⁸

= 9 N/C

So E = 9sin (1.6 × 10³ x + 48 × 10¹⁰ t)