Oscillating magnetic field in a plane, electromagnetic wave is given by vecBy=4 × 10-6 sin [9 × 109 t-30 x] tesla. Expression for oscillating electric field (in N C -1 ) will be

Question

Oscillating magnetic field in a plane, electromagnetic wave is given by vecBy=4 × 10-6 sin [9 × 109 t-30 x] tesla. Expression for oscillating electric field (in N C -1 ) will be (A)  vecEz=600 sin [9 × 109 t-30 x] hatk (B)  vecEz=-600 sin [9 × 109 t-30 x] hatk (C)  vecEz=1200 sin [9 × 109 t-30 x] hatk (D)  vecEz=-1200 sin [9 × 109 t-30 x] hatk

Tardigrade Admin · Accepted Answer

(E0/B0)=c ⇒ E0=c B0=3 × 108 × 4 × 10-6=1200 N C -1 ⇒ vecEz ≡-1200 sin [9 × 109 t-30 x] hatk N C -1

Q. Oscillating magnetic field in a plane, electromagnetic wave is given by
$B_{y} = 4 \times 1 0^{- 6} sin [9 \times 1 0^{9} t - 30 x]$ tesla.
Expression for oscillating electric field (in $N C^{- 1}$ ) will be

$E_{z} = 600 sin [9 \times 1 0^{9} t - 30 x] \hat{k}$

$E_{z} = - 600 sin [9 \times 1 0^{9} t - 30 x] \hat{k}$

$E_{z} = 1200 sin [9 \times 1 0^{9} t - 30 x] \hat{k}$

$E_{z} = - 1200 sin [9 \times 1 0^{9} t - 30 x] \hat{k}$

$\frac{E _{0}}{B _{0}} = c$
$\Rightarrow E_{0} = c B_{0} = 3 \times 1 0^{8} \times 4 \times 1 0^{- 6} = 1200 N C^{- 1}$
$\Rightarrow E_{z} \equiv - 1200 sin [9 \times 1 0^{9} t - 30 x] \hat{k} N C^{- 1}$

Q. Oscillating magnetic field in a plane, electromagnetic wave is given by By​=4×10−6sin[9×109t−30x] tesla. Expression for oscillating electric field (in NC−1 ) will be

Ez​=600sin[9×109t−30x]k^

Ez​=−600sin[9×109t−30x]k^

Ez​=1200sin[9×109t−30x]k^

Ez​=−1200sin[9×109t−30x]k^