Question 57: EM waves

Question

A plane electromagnetic wave of frequency $$35 \mathrm{~MHz}$$ travels in free space along the $$X$$-direction. At a particular point (in space and time) $$\vec{E}=9.6 \hat{j} \mathrm{~V} / \mathrm{m}$$. The value of magnetic field at this point is :

Accepted Answer

$$\begin{aligned}
\frac{E}{B} & =C \
\frac{E}{B} & =3 	imes 10^8 \
B & =\frac{E}{3 	imes 10^8}=\frac{9.6}{3 	imes 10^8} \
B & =3.2 	imes 10^{-8} T \
\hat{B} & =\hat{v} 	imes \hat{E} \
& =\hat{i} 	imes \hat{j}=\hat{k}
\end{aligned}$$
So,
$$\overrightarrow{\mathrm{B}}=3.2 	imes 10^{-8} \hat{\mathrm{k}} \mathrm{T}$$

Answer

$$9.6 \hat{j} T$$

Answer

$$3.2 	imes 10^{-8} \hat{i} T$$

Answer

$$9.6 	imes 10^{-8} \hat{k} T$$

Answer

$$3.2 	imes 10^{-8} \hat{k} T$$

EM waves

A plane electromagnetic wave of frequency $35 \mathrm{~MHz} travels in free space along the X-direction. At a particular point (in space and time) \vec{E}=9.6 \hat{j} \mathrm{~V} / \mathrm{m}$. The value of magnetic field at this point is :

Choose the correct answer: