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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) E⃗ =9.6jˆ V/m. The value of magnetic field at this point is :

Question

A plane electromagnetic wave of frequency 35 MHz travels in free space along the X-direction. At a particular point (in space and time) E⃗ =9.6jˆ V/m. The value of magnetic field at this point is :

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Solution

The magnitude of the electric field (E) is given as 9.6 V/m. The frequency (f) of the wave is given as 35 MHz, which is 35 x 10^6 Hz.

The speed of light (c) in free space is approximately 3 x 10^8 m/s.

According to the formula for the relationship between the electric field and the magnetic field in an electromagnetic wave, E = cB, where B is the magnetic field.

We can rearrange this formula to solve for B: B = E/c.

Substituting the given values into this formula gives us: B = 9.6 V/m / 3 x 10^8 m/s = 32 x 10^-9 T.

Therefore, the value of the magnetic field at this point is 32 nT (nanoTesla).

This problem has been solved

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