The y -component of the radiated magnetic field of a plane electromagnetic wave

Question

The y-component of the radiated magnetic field of a plane electromagnetic wave moving in the z-direction is given by
By(t) = (2.20 ?T)sin[(2pi rad)(z/240m ? t/0.80 ?s )] .

The x-component of the magnetic field is always zero. For this electromagnetic wave, what is the amplitude of the radiated electric field?

Please show steps, the unit is V/m. Thank you.

The y-component of the radiated magnetic field of a plane electromagnetic wave moving in the z-direction is given by By(t) = (2.20 ?T)sin[(2pi rad)(z/240m ? t/0.80 ?s )] . The x-component of the magnetic field is always zero. For this electromagnetic wave, what is the amplitude of the radiated electric field? Please show steps, the unit is V/m. Thank you.

Explanation / Answer

we have

E = cB

SO, amplitude = c x 2.2 T = 660 V/m

therefore, the answer is 660 V/m

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