The magnetic field in a plane electromagnetic wave is By = (3.5 × 10^{–7}) sin (1.5 × 10^3x + 0.5 × 10^11t)T.

Question

The magnetic field in a plane electromagnetic wave is \(\mathrm{B}_{\mathrm{y}}=\left(3.5 \times 10^{-7}\right) \sin \left(1.5 \times 10^{3} \mathrm{x}+0.5\right.\) \(\left.\times 10^{11} \mathrm{t}\right) \mathrm{T}\). The corresponding electric field will be

(1) \(\mathrm{E}_{\mathrm{y}}=1.17 \sin \left(1.5 \times 10^{3} \mathrm{x}+0.5 \times 10^{11} \mathrm{t}\right) \mathrm{Vm}^{-1}\)

(2) \(\mathrm{E}_{\mathrm{z}}=105 \sin \left(1.5 \times 10^{3} \mathrm{x}+0.5 \times 10^{11} \mathrm{t}\right) \mathrm{Vm}^{-1}\)

(3)\( \mathrm{E}_{\mathrm{z}}=1.17 \sin \left(1.5 \times 10^{3} \mathrm{x}+0.5 \times 10^{11} \mathrm{t}\right) \mathrm{Vm}^{-1}\)

(4) \(E_{y}=10.5 \sin \left(1.5 \times 10^{3} \mathrm{x}+0.5 \times 10^{11} \mathrm{t}\right) \mathrm{Vm}^{-1}\)  

Answer 1

Correct option is :  (2) \(\mathrm{E}_{\mathrm{z}}=105 \ \sin \left(1.5 \times 10^{3} \mathrm{x}+0.5 \times 10^{11} \mathrm{t}\right) \mathrm{Vm}^{-1}\)  

\(\mathrm{E}_{0}=\mathrm{B}_{0} \mathrm{C}\)

\(\mathrm{E}_{0}=3 \times 10^{8} \times\left(3.5 \times 10^{-7}\right) \sin \left(1.5 \times 10^{3} \mathrm{x}+0.5 \times 10^{11} \mathrm{t}\right)\)

\(\mathrm{E}_{0}=105 \ \sin \left(1.5 \times 10^{3} \mathrm{x}+0.5 \times 10^{11} \mathrm{t}\right) \mathrm{Vm}^{-1}\)

Data inconsistent while calculating speed of wave. You can challenge for data.