Home
Class 12
PHYSICS
A plane electromagnetic wave propagating...

A plane electromagnetic wave propagating in the x-direction has a wavelength of 5.0 mm. The electric field is in the y-direction and its maximum magnitude is `30V (m^-1)`. Write suitable equations for the electric and magnetic fields as a function of x and t.

Text Solution

Verified by Experts

Here, `lambda=5.0mm=5xx10^-3m,`
`E_0=30Vm^-1`
Angular frequency `omega=2piv=(2pic)/(lambda)`
`=(2xx3.142xx(3xx10^8))/(5xx10^-3)=3.77xx10^11 rad s^-1`
Max. magnitude of magnetic field,
`B_0=(E_0)/c=30/(3xx10^8)=1.0xx10^-7T`
Equation for electric field along y-axis can be
writtens as
`E=E_y=E_0sin omega(t-x//c)`
`=30sin3.77xx10^11(t-x//c)vm^-1`
Equation for magnetic field along z-axis can
be writtens as
`B=B_z=B_0sin omega(t-x//c)`
`=(1.0xx10^-7)sin3.77xx10^11(t-x//C)Tesla`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise Solved Example|4 Videos

  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise (I) Conceptual problems|1 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Multiple Choice Questions|1 Videos

  • ELECTRONIC DEVICES

    PRADEEP|Exercise Fill in the Blanks|1 Videos

Similar Questions

Explore conceptually related problems

A plane electromagnetic wave propagating in the x-direction has a wavelength of 6.0 mm. the electric field is in the y-direction and its maximum magnitude is 33 Vm^(-1) . Write suitable equations for the electric and magnetic fields as functions of x and t.

A plane e.m. wave propagating in the x-direction has a wavelength 6.0 mm. The electric field is in the y-direction and its maximum magitude is 33Vm^_1 . Write suitable equation for the electric and magnetic fields as a function of x and t.

A plane e.m. wave propagating in the x-direction has a wavelength 5.0 mm. The electric field is in the y-direction and its maximum magitude is 50Vm^_1 . Write the equation for the electric and magnetic fields as a function of x and t.

A plane e.m. wave propagating in the x-direction has a wavelength 5.5 mm. The electric field is in the y-direction and its maximum magitude is 36Vm^_1 . Write suitable equation for the electric and magnetic fields as a function of x and t and find energy density of e.m. wave. Calculate the maximum electric and magnetic force on a charge q=2e, moving along y-axis with a speed of 3.0xx10^7ms^-1 , where e=1.6xx10^(-19)C .

A plane electromagnetic wave propagating in the x-direction has wavelength of 60 mm. The electric field is in the y-direction and its maximum magnitude is 33 V//m^(-1) .The equation for the electric field as function of x and t is:

A plane electromagnetic wave propagating in the x-direction has wavelength of 6.0 mm . The electric field is in the y-direction and its maximum magnitude of 33 Vm^(-1) . The equation for the electric field as function of x and l is

A plane e.m. wave travelling along the x-direction has a wavelength of 3mm. The variation in the electric field occurs in the y-direction with an amplitude 66Vm^-1 . The equation for the electric and magnetic fields as a function of x and t are respectively

For a plane electromagnetic wave propagation in the X- direction , the field is in the Y-direction and has maximum magneitic of 44 V//m . The wavelength of wave is 5 mm. Express the electric and magnetic field as a function of displacement x and time t.

A plane electromagnetic wave propagating along y-direction can have the following pair of electric field (vecE) and magnetic field (vecB) components.