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With d 45 and equal amplitude components, determine the sense of polarization of a wave represented by Eq (56) 58 A plane TEM wave has a horizontal ( x directed) component of electric field of amplitude 3 V/m and a vertical ( y directed) component of electric field of amplitude 5 V/m The horizontal component leads the vertical component by a phase angle of 20 Determine the sense of polarization 59 A plane TEM wave has a horizontal ( x directed) component of electric field of amplitude 3 V/m and a vertical ( y directed) component of electric field of amplitude 5 V/m The horizontal component lags the vertical component by a phase angle of 20 Determine the sense of polarization 510 Given that the plane TEM wave of Prob 58 propagates in free space, determine the magnitude of the magnetic field 511.

Our robot can behave as an xy-plotter with programs like the one in Fig 102..

Explain what is meant by orthogonal polarization and the importance of this in satellite communications 512 The TEM wave represented by Eq (54) is received by a linearly polarized antenna Determine the reduction in emf induced in the antenna compared to what would be obtained with polarization matching 513 A plane TEM wave has a horizontal ( x-directed) component of electric field of amplitude 3 V/m and a vertical ( y-directed) component of electric field of amplitude 5 V/m The components are in time phase with one another Determine the angle a linearly polarized antenna must be at with reference to the x axis to receive maximum signal 514 For Prob 513, what would be the reduction in decibels of the received signal if the antenna is placed along the x axis 515 Explain what is meant by vertical polarization of a satellite signal.

Let = cos 1 ( 1 ). Then, by Theorems 26.8 and 26.1, 3 sin 2 = 2 sin cos = 2( 1 cos2 )(cos ) By de nition of the function cos 1 , angle is in the second quadrant (its cosine being negative), and so its sine is positive. Therefore, the plus sign must be taken in the above formula. 1 2 1 sin 2 = 2( 1 cos2 )(cos ) = 2 1 3 3 2 2 8 2 8 1 = = 1 = 3 9 3 9 3 9 4 2 2 2 2 = = 3 3 9

A vertically polarized wave is transmitted from a geostationary satellite and is.

10.1.1 DRAWING CIRCLES The program in Fig. 10.3 makes the robot draw a circle. Type it and see the result. The subroutine DrawCircle is what makes the circle. Notice the line rForward fStep. Rather than forwarding a xed distance, the subroutine forwards a distance de ned by the variable fStep. This variable must be assigned a value prior to calling the subroutine. The same thing is done in the line rTurn tStep and in the for-next loop. Here the rate of turn is speci ed by tStep and again has to be assigned prior to calling the routine. The limit of the loop is 360/tStep rather than 360 so that if the rate of turn is changed the routine still continues to turn 360 and no more. What will happen if tStep is set to 1 Experiment with changing these numbers and try to predict the results. First try changing only fStep and see the outcome. Then only change tStep and observe the action.

received at an earth station which is west of the satellite and in the northern hemisphere. Will the wave received at the earth station be vertically polarized Give reasons for your answer. 5.16. Explain what is meant by horizontal polarization of a satellite signal. A horizontally polarized wave is transmitted from a geostationary satellite and is received at an earth station which is west of the satellite and in the northern hemisphere. Will the wave received at the earth station be horizontally polarized Give reasons for your answer. 5.17. A geostationary satellite stationed at 90 W transmits a vertically polarized wave. Determine the polarization of the resulting signal received at an earth station situated at 70 W, 45 N. 5.18. A geostationary satellite stationed at 10 E transmits a vertically polarized wave. Determine the polarization of the resulting signal received at an earth station situated at 5 E, 45 N. 5.19. Explain what is meant by cross-polarization discrimination and briefly describe the factors which militate against good cross-polarization discrimination. 5.20. Explain the difference between cross-polarization discrimination and polarization isolation. 5.21. A linearly polarized wave traveling through the ionosphere suffers a Faraday rotation of 9 . Calculate (a) the polarization loss and (b) the crosspolarization discrimination. 5.22. 5.23. Why is Faraday rotation of no concern with circularly polarized waves Explain how depolarization is caused by rain.