For a certain sinusoidal wave of intensity I, the amplitude of the magnetic field is B. What would be the amplitude (in terms of B) in a similar wave of twice the intensity?

Short Answer

Expert verified

The amplitude of a wave of twice the intensitywill increase by a factor of2.

Step by step solution

01

Formula for intensity of electromagnetic wave. 

The intensity of a wave is calculated by I=c2μ0B2maxwhere c is the speed of light andμ0=4π10-7Hmwhich is the permeability of space.

02

Determining the amplitude of B’ .

Let I'=2I

Substitute the values using the formula of intensity and equating for B.

c2.μ0.B'2=2*c2.μ0.B2B'2=2*B2B'=2*B2

Therefore the amplitude of B’ will be increase 2times then that of B.

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