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A sinusoidal electromagnetic wave having a magnetic field of amplitude 1.25 ? T

ID: 1375557 • Letter: A

Question

A sinusoidal electromagnetic wave having a magnetic field of amplitude 1.25?T and a wavelength of 432nm is traveling in the +x direction through empty space.

Write the equations for the electric and magnetic fields as functions of x and t.

There are 5 radio buttons, please give answer 1-5, respectively.

A sinusoidal electromagnetic wave having a magnetic field of amplitude 1.25MuT and a wavelength of 432nm is traveling in the +x direction through empty space. Write the equations for the electric and magnetic fields as functions of x and t.

Explanation / Answer

magnetic field strength=B=1.25 uT

then electric field strength=E=c*B where c=3*10^8 m/s

then E=375 volts

wavelength=432 nm

frequency=speed/wavelength=3*10^8/(432*10^(-9))=6.94*10^14 Hz

radial frequency=2*pi*frequency=4.36*10^15 rad/sec

so as electric field and magnetic field are 90 degree to each other and at x=0, electric field is a sine curve,

option D is correct.