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AP EAMCET · PHYSICS · Electromagnetic Waves

The equation that represents magnetic field of a plane electromagnetic wave which is propagating along \(x\)-direction with wavelength \(10 \mathrm{~mm}\) and maximum electric field \(60 \mathrm{Vm}^{-1}\) in \(y\)-direction is (where, \(c=\) speed of light)

  1. A \(\left(6 \times 10^{-7}\right) \sin [0.2 \pi(c t-x)] \hat{k} T\)
  2. B \(\left(2 \times 10^{-7}\right) \sin [200 \pi(c t-x)] \hat{k} T\)
  3. C \(\left(2 \times 10^{-7}\right) \sin [200 \pi(c t-x)] \hat{i} \mathrm{~T}\)
  4. D \(\left(6 \times 10^{-7}\right) \sin [02 \pi(c t-x)] \hat{i} T\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\left(2 \times 10^{-7}\right) \sin [200 \pi(c t-x)] \hat{k} T\)

Step-by-step Solution

Detailed explanation

Equation of magnetic field of an electromagnetic wave is given by \(B=B_0 \sin (\omega t-k x) \hat{k}\) \(=B_0 \sin \left(2 \pi f t-\frac{2 \pi}{\lambda} \cdot x\right) \hat{k} \quad\left[\because \omega=2 \pi f\right.\) and \(\left.k=\frac{2 \pi}{\lambda}\right]\)…
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