Question

The far-zone electric field of an antenna can be approximated by

P.11-add3 The far-zone electric field of an antenna can be approximated by le jkr Je cos? 0, 0sos E. = { r otherwise E = 0. Find The half power beamwidth in the xz- and yz- planes. The directivity Do. The approximate directivity Do using equation Do = 0.787 the (3.108) on p. 7, Lec_22. (Bu12), (Bv2) -nimi 47 / XZ yZ

Answer 1

Solution . SPE . - cose Osos TV ED - otherwise ( PERE) Ep=0 (a) The Halp The Half power Beam Width in the YZ& Vz-plones Jo.707 width IFONT od = 0.907 cošo = 0.707. C! 25 . - FE01+COSOCOS - 1 cošof i-cos20 1-60520 d 70% JY& it cose + coro-sino-coso CO 520 = (0.70#)2 -1 corge coro-sino Co 520 = 0.414 cošo = Roots 0.707 on bothsia I coso - Jo. 707 coso = 40-707 D = cos(0.707) 0 = 32.77 182125 Half power Beam ulidth = 2X0 = 660

= (Bilalyz = 33 & 66° is e eco 020 6 The directivity Do 0 ID= Umax Prad 4 Umax = ? Prad = ? nolulu dr W JT D. Prad - 2 TTV coso do Song - + Foto [to r = leike I coto

-jkr Sarg 4x e costo (d. Savg = 1x leikr cosorar n eo-coset isinn I count sina avg - Incosto COSO il p V r imo!! ! ar vom Prod = it COSI costo ai (122 coso)do) costo coso do " 614 - porno os partit de coso do) bort Tri I Solve this Integration wing caladator The We will get = g. 175 oyo 10 Prad = 0.47571/

30 plinitril heregge le Pacliation Intensity Su음 - Say x2 so v mask Umax = + (%) max = 1-0 equcetion 2&3 Substitute in equation D = Um ax_ CAXA PAV) Prad 40 0.1957 I Tv 20 075 TT 20 l 0.15 4 . 14 . X SR 0:1975 DE 11. 4285143

③ Aproximate directivity Dousing equation Do= 0.78 y 4T (B/2 ) xz (B/2) y z u Byz) x2 = XZ 33 x 1/180 s ets @ ya)gz - 66x T1/180 bosta DO = D.-8x 4 (Allaz x Ally ² ТІ = 0-78x 83 x | X 66 X TT 180 180 DO = 14.77378778 If you have Any doubts cyle oma pleage Rate my Answer ny Answer