If and represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by (- angular frequency) [2023]

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Q.
If $\vec{E}$ and $\vec{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by ( $ω$ - angular frequency) [2023]

1 $\frac{1}{ω} (\vec{K} \times \vec{E})$

2 $ω (\vec{K} \times \vec{E})$

3 $\vec{K} \times \vec{E}$

4 $ω (\vec{E} \times \vec{K})$

Ans.
(1)

Magnetic field vector will be in the direction of $\vec{K} \times \vec{E}$

$Magnitude of B = \frac{E}{C} = \frac{K}{ω} E$

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

Solution

Q.
If $\vec{E}$ and $\vec{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by ( $ω$ - angular frequency) [2023]

1 $\frac{1}{ω} (\vec{K} \times \vec{E})$

2 $ω (\vec{K} \times \vec{E})$

3 $\vec{K} \times \vec{E}$

4 $ω (\vec{E} \times \vec{K})$

Ans.
(1)

Magnetic field vector will be in the direction of $\vec{K} \times \vec{E}$

$Magnitude of B = \frac{E}{C} = \frac{K}{ω} E$

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

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Solution

Q. If E→ and K→ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by (ω- angular frequency) [2023]

1 1ω(K→×E→)

2 ω(K→×E→)

3 K→×E→

4 ω(E→×K→)

Ans. (1) Magnetic field vector will be in the direction of K→×E→ Magnitude of B=EC=KωE or B→=1ω(K→×E→)

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Q.
If $\vec{E}$ and $\vec{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by ( $ω$ - angular frequency) [2023]

1 $\frac{1}{ω} (\vec{K} \times \vec{E})$

2 $ω (\vec{K} \times \vec{E})$

3 $\vec{K} \times \vec{E}$

4 $ω (\vec{E} \times \vec{K})$

Ans.
(1)

Magnetic field vector will be in the direction of $\vec{K} \times \vec{E}$

$Magnitude of B = \frac{E}{C} = \frac{K}{ω} E$

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