For an electromagnetic wave propagating through vacuum, , and represent propagation vector, electric field and angular frequency, respectively

Question

For an electromagnetic wave propagating through vacuum, $\vec{k}$ , $\vec{E}$ and $ω$ represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by [2026]

Smart Achievers · Accepted Answer

(2)

$\vec{B} = \frac{1}{ω} (\vec{k} \times \vec{E})$

$Direction of \vec{B} is along \vec{k} \times \vec{E}$

Solution

Q.
For an electromagnetic wave propagating through vacuum, $\vec{k}$ , $\vec{E}$ and $ω$ represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by [2026]

1 $\frac{\vec{E} \times \vec{k}}{ω}$

2 $\frac{\vec{k} \times \vec{E}}{ω}$

3 $ω (\vec{E} \times \vec{k})$

4 $ω (\vec{k} \times \vec{E})$

Ans.
(2)

$\vec{B} = \frac{1}{ω} (\vec{k} \times \vec{E})$

$Direction of \vec{B} is along \vec{k} \times \vec{E}$

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Solution

Q. For an electromagnetic wave propagating through vacuum, k→, E→ and ω represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by [2026]

1 E→×k→ω

2 k→×E→ω

3 ω(E→×k→)

4 ω(k→×E→)

Ans. (2) B→=1ω(k→×E→) Direction of B→ is along k→×E→