The magnetic field of an E.M. wave is given by (SI Units) The corresponding electric field in S.I. units is: [2025]

Question

The magnetic field of an E.M. wave is given by

$\vec{B} = (\frac{\sqrt{3}}{2} \hat{i} + \frac{1}{2} \hat{j}) 30 \sin [ω (t - \frac{z}{c})]$ (SI Units)

The corresponding electric field in S.I. units is: [2025]

Smart Achievers · Accepted Answer

(1)

$\vec{B} = (\frac{\sqrt{3}}{2} \hat{i} + \frac{1}{2} \hat{j}) 30 \sin [ω (t - \frac{z}{c})]$

$\vec{E} \times \vec{B} = \vec{c} and E_{0} = B_{0} c$

Here $E = (\frac{\sqrt{3}}{2} (- \hat{j}) + \frac{1}{2} \hat{i})$

$E_{0} = 30 c$

$\vec{E} = (\frac{1}{2} \hat{i} - \frac{\sqrt{3}}{2} \hat{j}) 30 c \sin [ω (t - \frac{z}{c})]$

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