Home
Class 12
PHYSICS
A plane electromagnetic wave of frequenc...

A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular point in space and time `vecE=6.3hatj` V/m. The corresponding magnetic field `vecB`, at that point is `x xx 10^(-8)hatkT`. Find the value of x.

Text Solution

AI Generated Solution

To find the value of \( x \) in the magnetic field \( \vec{B} = x \times 10^{-8} \hat{k} \, \text{T} \) corresponding to the electric field \( \vec{E} = 6.3 \hat{j} \, \text{V/m} \), we can use the relationship between the electric field and magnetic field in an electromagnetic wave. ### Step-by-Step Solution: 1. **Identify the given values:** - Frequency \( f = 50 \, \text{MHz} = 50 \times 10^6 \, \text{Hz} \) - Electric field \( \vec{E} = 6.3 \hat{j} \, \text{V/m} \) ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CHAPTERWISE NUMERIC /INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 23 : (RAY OPTICS AND OPTICAL INSTRUMENTS)|15 Videos

  • CHAPTERWISE NUMERIC /INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 24 : (WAVE OPTICS)|15 Videos

  • CHAPTERWISE NUMERIC /INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER -21 : (ALTERNATING CURRENT)|15 Videos

  • ATOMS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

  • COMMUNICATION SYSTEM

    DISHA PUBLICATION|Exercise EXERCISE-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular point is space and time, vec(E)=6.3hatjV//m. The corresponding magnetic field hatB , at that point wiil be:

A plane electromagnetic wave of frequency 25 Mhz travels in free space along the x-direction. At a particular point in space and time, E= (6.3 j) V//m . What is B at this point?

Knowledge Check

  • A plane electromagnetic wave of frequency 35 MHz travels in free space along the X-direction. At a particular point (in space and time) vec E = 9.6 hat jV//m . The value of magnetic field at this point is :

    A
    `3.2 times 10^(-8) hat k T`
    B
    `3.2 times 10^(-8) hat i T`
    C
    `9.6 hat j T`
    D
    `9.6 times 10^(-8) hat k T`

  • A plane electromagnetic wave of frequency 28 MHz travels in free space along the positive x-direction . At a particular point in space and time, electric field is 9.3 V/m along positive y-direction. The magnetic field (in T) at that point is

    A
    `3.1 xx 10^(-8)` along positive z-direction
    B
    `3.1 xx 10^(-8)` along negative z-direction
    C
    `3.2 xx 10^(7)` along positive z-direction
    D
    `3.2 xx 10^7` along negative z-direction

  • A plane electromagnetic wave of frequency 20 MHz travels through a space along x-direction. If the electric field vector at a certain point in space is 6 Vm^(-1) ,then what is the magnetic field vector at that point?

    A
    `2 xx 10^(-8) T`
    B
    `1/2 xx 10^(-8) T`
    C
    `2T`
    D
    `1/2 T`

    • Similar Questions

    Explore conceptually related problems

    A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction At a particular point in space and time, vecB = 8.0 xx 10^(-8) hatz T. The value of electric field at this point is: (speed of light = 3 xx 10 ^(8) ms ^(-1)) hatx, haty , hatz are unit vectors along x, y and a directions.

    A plane electromagnetic wave with frequency of 30 MHz travels in free space. At particular point in space and time, electric field is 6 V/m. The magnetic field at this point will be x xx 10 ^(-8) T. The value of x is ________

    A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x-direction. At a particular point in space and time, vecB = 2.0 xx 10^(-8) hatk T . (where, hatk is unit vector along z-direction) What is vecE at this point ? (speed of light c=3xx 10^8 m//s )

    A plane electromagnetic wave travels in free space along X-direction. If the value of vecB (in tesla) at a particular point in space and time is 1.2 xx 10^(-8) hatk . The value of vecE (in Vm^(-1) ) at that point is

    A plane electromagnetic wave of frequency 5 GHz is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic field is given by vecB = 12xx210^(-8) JT. The corresponding electric field vecE is (speed of light c = 3xx10^s ms^(-1) )

    Home
    Profile