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In an electromagnetic wave in free space...

In an electromagnetic wave in free space the root mean square value of the electric field is `E_(rms ) = 6 `V/m. The peak value of the magnetic field is:

A

`2. 83 xx 10^(-6)` T

B

`0.70 xx 10^(-6)` T

C

`4.23 xx 10^(-6)` T

D

`1.41 xx 10^(-8)` T

Text Solution

Verified by Experts

The correct Answer is:
A
`E_("mn") = (E_0)/( sqrt2)`
`E_0 = sqrt2 E_("mn") `
`E_0 = sqrt(2) xx 6 "V/m"`
`(E_0)/(B_0) = C` br> `B_0 = (E_0)/( C ) ( 6 sqrt2 "V/m")/( 3 xx 10^8 "m/s")`
`B_0 = 2.824 xx 10^(-5)` T
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Knowledge Check

  • In electromagnetic waves, the phase difference between magnetic and electric field vectors is

    A
    zero
    B
    `pi`
    C
    `pi//2`
    D
    `pi//4`

  • A plane electromagenic wave having a frequency v= 23.9 GHz propagates along the positive z-direction in free space. The peak value of the Electric field is 60 V//m Which among the following is the acceptable magnetic field component in the electromagnetic wave ?

    A
    `vec(B)=2 xx 10^(7)sin(0.5 xx10^(3) z+1.5 xx 10^(11) t)hat(i)`
    B
    `vec(B)=2xx 10^(-7)sin(0.5 xx10^(3)z-1.5 xx 10^(11)t)hat(i)`
    C
    `vec(B)=60 sin(0.5 xx 10^(3) x+1.5 xx10^(11)t)hat(k)`
    D
    `vec(B)=2 xx 10^(-7)sin(1.5 xx 10^(2) x+0.5 xx10^(11) t)hat(j)`

  • In an electromagnetic wave, electric field E and magnetic field B are

    A
    Mutually perpendicular to each other
    B
    bisect to each other
    C
    both (A) and (B)
    D
    none of these