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A plane electromagnetic wave of frequency 35 MHz travels in free space along the X -direction. At a particular point (in space and time) E → = 9 . 6 j ^ V m - 1 . The value of magnetic field at this point is:

Options

  1. A3 . 2 × 10 - 8 k ^ T
  2. B3 . 2 × 10 - 8 i ^
  3. C9 . 6 j ^ T
  4. D9 . 6 × 10 - 8 k ^ T

Correct answer

A. 3 . 2 × 10 - 8 k ^ T

Step-by-step solution

At every instant, the ratio of the magnitude of the electric field to the magnitude of the magnetic field in an electromagnetic wave equals the speed of light. Therefore, E B = c ⇒ E B = 3 × 10 8 ⇒ B = E 3 × 10 8 = 9 . 6 3 × 10 8 ⇒ B = 3 . 2 × 10 - 8 T Now, direction of magnetic field can be calculated as B ^ = v ^ × E ^ = i ^ × j ^ = k ^ So, B → = 3 . 2 × 10 - 8 k ^ T

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