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

ID: 1487571 • Letter: A

Question

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

Part A

What is the frequency of this wave?

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Part B

What is the amplitude of the associated electric field?

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

Part A

What is the frequency of this wave?

f =   Hz  

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Part B

What is the amplitude of the associated electric field?

E =   V/m  

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Explanation / Answer

part A )

f = c/lambda

here c = speed of light

lambda = wave length

f = 3 x 10^8 / (432 x 10^-9 m )

f = 6.94 x 10^14 Hz

Part B )

E = cB

E = 3 x 10^8 * 1.25 x 10^-6 T

E = 375 V/m

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