An electromagnetic wave travels in free space along the -direction. At a particular point in space and time, is associated with this wave

Question

An electromagnetic wave travels in free space along the $x$ -direction. At a particular point in space and time, $\vec{B} = 2 \times 10^{- 7} \hat{j} T$ is associated with this wave. The value of corresponding electric field $\vec{E}$ at this point is _____ $V / m$ . [2026]

Smart Achievers · Accepted Answer

(2)

$\vec{B} = 2 \times 10^{- 7} \hat{j} T$

$EM wave travels along direction of \vec{E} \times \vec{B} .$

$∴$ $\vec{E} must be along (- \hat{k})$

$also, E_{0} = B_{0} c$

$E_{0} = 2 \times 10^{- 7} \times 3 \times 10^{8} V/m = 6 \times 10 V/m$

$∴$ $\vec{E} = - 60 \hat{k} (V/m)$

Solution

Q.
An electromagnetic wave travels in free space along the $x$ -direction. At a particular point in space and time, $\vec{B} = 2 \times 10^{- 7} \hat{j} T$ is associated with this wave. The value of corresponding electric field $\vec{E}$ at this point is _____ $V / m$ . [2026]

1 $60 \hat{k}$

2 $- 60 \hat{k}$

3 $30 \hat{k}$

4 $- 600 \hat{k}$

Ans.
(2)

$\vec{B} = 2 \times 10^{- 7} \hat{j} T$

$EM wave travels along direction of \vec{E} \times \vec{B} .$

$∴$ $\vec{E} must be along (- \hat{k})$

$also, E_{0} = B_{0} c$

$E_{0} = 2 \times 10^{- 7} \times 3 \times 10^{8} V/m = 6 \times 10 V/m$

$∴$ $\vec{E} = - 60 \hat{k} (V/m)$

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Solution

Q. An electromagnetic wave travels in free space along the x-direction. At a particular point in space and time, B→=2×10-7j^ T is associated with this wave. The value of corresponding electric field E→ at this point is _____ V/m. [2026]

1 60k^

2 -60k^

3 30k^

4 -600k^

Ans. (2) B→=2×10-7j^ T EM wave travels along direction of E→×B→. ∴ E→ must be along (-k^) also, E0=B0c E0=2×10-7×3×108 V/m=6×10 V/m ∴ E→=-60k^ (V/m)