The general equation for the electric and the magnetic field...

The general equation for the electric and magnetic fields, as per the electromagnetic theory, is: E = E_max * cos(k * t) and B = B_max * cos(k * x). The energy per unit volume in an electric field is given by UE = 8 * E. The energy per unit volume in a magnetic field is given by UB = 1/2 * B^2. Also, the energy density and the total energy associated with the magnetic field and the electric field are equal. The rate at which energy flows in an EM wave is S = L * (E x B). In the positive x direction, a plane EM wave varies sinusoidally at 99 MHz, and the peak value of the electric field is 2 mV/m. It is moving in the y direction. The average energy density in the radiation is 1.75 x 10^-14 J/m^3.

Transcript

00:01 In this question, it is given that a satellite circles the earth in an orbit and it is told that the radius of this satellite is twice the radius of earth.

00:11 So first of all, i am writing the given data for this question.

00:15 So we have given that the radius of the satellite is twice the radius of earth and we have given the mass of the earth that is m .e is equals to 5 .98 into 10 to the power.

00:31 We have given the radius of the earth that is 6 .38 into 10 to the power 6 meter.

00:40 So i am going to draw the diagram for this given question.

00:43 This is our earth and this is the satellite and it orbits in a circle.

00:57 So on this satellite there is a one force acting towards this center that is the force of the gravitational force which is f c and one force we can say that is the centrifugal force which is i or i can say it is f g and this is fc which is centrifugal force now we can see that the satellite is moving with constant velocity so the net the two forces are equal and opposite so f c is equal to fg fc is the centrifugal force which is mass of the satellite into velocity square upon r.

01:45 This is the distance between the satellite and the earth that is this distance, which is rs.

01:57 And fg can be written as mass of earth into mass of satellite into capital g upon rs square.

02:07 From here we get the value of velocity that is under root of this will cancel out and this is g into me upon r s.

02:20 Now the angular velocity of the satellite that is omega s can be given by v into rs.

02:29 Sorry, this is not v into rs.

02:33 This is v upon r s...

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