Electromagnetic Waves Question 4
Question 4 - 2024 (29 Jan Shift 2)
A plane electromagnetic wave of frequency $35 MHz$ travels in free space along the X-direction. At a particular point (in space and time) $\overrightarrow{E}=9.6 j \hat{V} / m$. The value of magnetic field at this point is :
(1) $3.2 \times 10^{-8} kT$
(2) $3.2 \times 10^{-8} i \hat{T}$
(3) $9.6 \hat{j} T$
(4) $9.6 \times 10^{-8} k \hat{T}$
Show Answer
Answer: (1)
Solution:
$\frac{E}{B}=C$
$\frac{E}{B}=3 \times 10^{8}$
$B=\frac{E}{3 \times 10^{8}}=\frac{9.6}{3 \times 10^{8}}$
$B=3.2 \times 10^{-8} T$
$\hat{B}=\hat{v} \times \hat{E}$
$=\hat{i} \times \hat{j}=\hat{k}$
So,
$\overrightarrow{B}=3.2 \times 10^{-8} \hat{k} T$
