A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x direction. At a particular point in space and time, vec B =2.0 × 10-8 hat k T ⋅( where, hat k is unit vector along z-direction) What is vec E at this point?

Question

A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x direction. At a particular point in space and time, vec B =2.0 × 10-8 hat k T ⋅( where, hat k is unit vector along z-direction) What is vec E at this point? (A) 0.6 hat j V / m (B) 6.0 hat k V / m (C) 6.0 hat j V / m (D) 0.6 hat k V / m

Tardigrade Admin · Accepted Answer

E=B C=6 (Dir. of wave) ||( vec E × vec B ) hat i = hat j × hat k vec E =6 hat j V / m

Q. A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the $x$ direction. At a particular point in space and time, $B = 2.0 \times 1 0^{- 8} \hat{k} T \cdot ($ where, $\hat{k}$ is unit vector along z-direction) What is $E$ at this point?

$0.6 \hat{j} V / m$

$6.0 \hat{k} V / m$

$6.0 \hat{j} V / m$

$0.6 \hat{k} V / m$

$E = BC = 6$
(Dir. of wave) $∣∣ (E \times B)$
$\hat{i} = \hat{j} \times \hat{k}$
$E = 6 \hat{j} V / m$

Q. A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x direction. At a particular point in space and time, B=2.0×10−8k^T⋅( where,k^ is unit vector along z-direction) What is E at this point?

0.6j^​V/m

6.0k^V/m

6.0j^​V/m

0.6k^V/m