The rms value of the electric field in a certain light waveis0.200V/m.What is the amplitude of the associated magnetic field?

Short Answer

Expert verified

The amplitude of the associated magnetic field isBamp=9.43×10-10T

Step by step solution

01

Listing the given quantities 

Erms=0.200V/m

02

Understanding the concepts of magnetic field

By using the relation between the magnitude of the electric field andthe magnitude of the magnetic field, given by equation33-5 ,we can find the magnetic field.

Formula:

EB=C

Brms=Bamp2

03

Calculations of theamplitude of the associated magnetic field

By using the equation,335we have,

EB=C

where C is the velocity of the electromagnetic wave, which is3×108m/s.

Rearranging the equation, we can find the rms magnetic field,

Brms=ErmsC=0.2003×108=6.67×10-10T

This is the value of the magnetic field. To find the amplitude of the magnetic field, we can multiply this value by 2.

Brms=Bamp2Bamp=Brms2=6.67×1010×2=9.43×10-10T

Hence, the amplitude of the associated magnetic field isBamp=9.43×10-10T

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