A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is E = 6 V m-1 along y-direction. Its corresponding magnetic field component, B would be :

Question

A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is E = 6 V m-1 along y-direction. Its corresponding magnetic field component, B would be : (A) 6 × 10-8 T along z-direction (B) 6 × 10-8 T along x-direction (C) 2 × 10-8 T along z-direction (D) 2 × 10-8 T along y-direction

Tardigrade Admin · Accepted Answer

The direction of propogation of an EM wave is direction of vecE × vecB . hati = hatj × hatB ⇒ hatB = hatk C = (E/B) ⇒ B = (E/C) = (6/3 × 108) B = 2 × 10-8 T along z direction.

Q. A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is $E = 6 V m^{- 1}$ along y-direction. Its corresponding magnetic field component, B would be :

$6 \times 1 0^{- 8}$ T along z-direction

$6 \times 1 0^{- 8}$ T along x-direction

$2 \times 1 0^{- 8}$ T along z-direction

$2 \times 1 0^{- 8}$ T along y-direction

The direction of propogation of an EM wave is direction of $E \times B$ .
$\hat{i} = \hat{j} \times \hat{B}$
$\Rightarrow \hat{B} = \hat{k}$
$C = \frac{E}{B} \Rightarrow B = \frac{E}{C} = \frac{6}{3 \times 1 0 ^{8}}$
$B = 2 \times 1 0^{- 8} T$ along $z$ direction.

Q. A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is E=6Vm−1 along y-direction. Its corresponding magnetic field component, B would be :

6×10−8 T along z-direction

6×10−8 T along x-direction

2×10−8 T along z-direction

2×10−8 T along y-direction