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A pulse of radiation propagates with velocity <0,0,-c>. The electric field in the pulse is <7.2×106,0,0>N/C. What is the magnetic field in the pulse?

Short Answer

Expert verified

The magnetic field in the pulse is <0,-0.024,0>T.

Step by step solution

01

Given data

Velocity of the pulse:

v→=0,0,-c

Electric field of the pulse:

E→=7.2×106,0,0N/C

02

Magnetic field in a pulse

Magnitude of magnetic field in a pulse with magnitude of electric field is:

B=Ec …… (i)

Here, is the speed of light in vacuum with value c=3×108m/sc=3×108m/s.

The direction of the magnetic field is such that the direction of the wave is given by the direction as follows:

E→×B→

03

Determine the magnetic field in the given pulse

From equation (i), the magnitude of the electric field is:

B=7.2×106N/C3×108m/s=0.024·1N.s/C.m×1T1N.s/C.m=0.024T

The direction of the wave is along -zaxis and the direction of the electric field is along x axis. Hence the direction of the magnetic field has to be along -yaxis.

Thus, the magnetic field is 0,-0.024,0T.

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