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The magnetic field of a plane electromagnetic wave is given by B → = 2 × 10 - 8 sin 0 . 5 × 10 3 x + 1 . 5 × 10 11 t j ^ T . The amplitude of the electric field would be

Options

  1. A6 Vm - 1 along x -axis
  2. B3 Vm - 1 along z -axis
  3. C6 Vm - 1 along z -axis
  4. D2 × 10 - 8 Vm - 1 along z -axis

Correct answer

C. 6 Vm - 1 along z -axis

Step-by-step solution

The ratio of electric field amplitude to the magnetic field amplitude of an electromagnetic wave is equal to the speed of light in the medium. Therefore, c = E 0 B 0 ⇒ E 0 = c B 0 ⇒ E 0 = 3 × 10 8 × 2 × 10 - 8 ⇒ E 0 = 6   V   m - 1 According to the given equation B → = 2 × 10 - 8 sin 0 . 5 × 10 3 x + 1 . 5 × 10 11 t j ^   T the wave travels in x direction. As electric field and magnetic field vibrate perpendicular to the velocity of light, electri

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