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AP EAMCET · PHYSICS · Electromagnetic Waves

The magnetic field in a plane electromagnetic wave is given as
\(\mathbf{B}=\left(3 \times 10^{-7} \mathrm{~T}\right) \sin \left(3 \times 10^4 x+9 \times 10^{12} t\right) \hat{j}\)
The electric field of this wave is given as

  1. A \(90 \sin \left(3 \times 10^4 x+9 \times 10^{12} t\right) \hat{i} \mathrm{Vm}^{-1}\)
  2. B \(90 \sin \left(3 \times 10^4 x+9 \times 10^{12} t\right) \hat{k} \mathrm{Vm}^{-1}\)
  3. C \(45 \sin \left(3 \times 10^4 x+9 \times 10^{12} t\right) \hat{i} \mathrm{Vm}^{-1}\)
  4. D \(45 \sin \left(3 \times 10^4 x+9 \times 10^{12} t\right) \hat{k} \mathrm{Vm}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(90 \sin \left(3 \times 10^4 x+9 \times 10^{12} t\right) \hat{k} \mathrm{Vm}^{-1}\)

Step-by-step Solution

Detailed explanation

Given, Magnetic field in a plane EM wave, \(B=\left(3 \times 10^{-7} \mathrm{~T}\right) \sin \left(3 \times 10^4 x+9 \times 10^{12} t\right) \mathrm{T}\) Here, \(B_0=3 \times 10^{-7} \mathrm{~T}\) Amplitude of electric field,…