A plane electromagnetic wave of frequency 35 MHz travels in free space along positive X-direction

Question

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

Smart Achievers · Accepted Answer

(1)

$\frac{E}{B} = C$

$\frac{E}{B} = 3 \times 10^{8}$

$B = \frac{E}{3 \times 10^{8}} = \frac{9.6}{3 \times 10^{8}}$

$B = 3.2 \times 10^{- 8} T$

$\hat{B} = \hat{v} \times \hat{E}$

$= \hat{i} \times \hat{j} = \hat{k}$

$so, \vec{B} = 3.2 \times 10^{- 8} \hat{k} T$

Solution

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

1 $3.2 \times 10^{- 8} \hat{k} T$

2 $3.2 \times 10^{- 8} \hat{i} T$

3 $9.6 \hat{j} T$

4 $9.6 \times 10^{- 8} \hat{k} T$

Ans.
(1)

$\frac{E}{B} = C$

$\frac{E}{B} = 3 \times 10^{8}$

$B = \frac{E}{3 \times 10^{8}} = \frac{9.6}{3 \times 10^{8}}$

$B = 3.2 \times 10^{- 8} T$

$\hat{B} = \hat{v} \times \hat{E}$

$= \hat{i} \times \hat{j} = \hat{k}$

$so, \vec{B} = 3.2 \times 10^{- 8} \hat{k} T$

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Solution

Q. A plane electromagnetic wave of frequency 35 MHz travels in free space along positive X-direction. At a particular point (in space and time) E→=9.6 j^ V/m. The value of magnetic field at this point is:

1 3.2×10-8 k^ T

2 3.2×10-8 i^ T

3 9.6 j^ T

4 9.6×10-8 k^ T

Ans. (1) EB=C EB=3×108 B=E3×108=9.63×108 B=3.2×10-8T B^=v^×E^ =i^×j^=k^ so, B→=3.2×10-8k^ T