The approximate far zone normalized electric field radiated by a resonant linear dipole antenna used in wireless mobile units, positioned symmetrically at the origin along the z- axis, is given by 0° <0< 180° 0° <0< 360° E - â„E, sin'5 where E, is a constant and r is the spherical radial distance measured from the origin of the coordinate system. Determine the: (a) Exact maximum directivity (dimensionless and in dB). (b) Half-power beamwidth (in degrees) (c) Approximate maximum directivity (dimensionless and in dB). Indicate which approxi- mate formula you are using and why? (d) Approximate maximum directivity (dimensionless and in dB) using another approximate formula. Indicate which other formula you are using and why? (e) Maximum directivity (dimensionless and in dB) using the computer program Directivity.

The approximate far zone normalized electric field radiated by a resonant linear dipole antenna used in wireless mobile units, positioned symmetrically at the origin along the z- axis, is given by 0° <0< 180° 0° <0< 360° E - â„E, sin'5 where E, is a constant and r is the spherical radial distance measured from the origin of the coordinate system. Determine the: (a) Exact maximum directivity (dimensionless and in dB). (b) Half-power beamwidth (in degrees) (c) Approximate maximum directivity (dimensionless and in dB). Indicate which approxi- mate formula you are using and why? (d) Approximate maximum directivity (dimensionless and in dB) using another approximate formula. Indicate which other formula you are using and why? (e) Maximum directivity (dimensionless and in dB) using the computer program Directivity.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter7: Arrays

Section7.5: Case Studies

Problem 15E

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Question

2.8. The approximate far zone normalized electric field radiated by a resonant linear dipole
antenna used in wireless mobile units, positioned symmetrically at the origin along the z-
axis, is given by
0° < 0 < 180°
0° <0< 360°
E. = â,E, sin!-S ekr
where E, is a constant and r is the spherical radial distance measured from the origin of the
coordinate system. Determine the:
(a) Exact maximum directivity (dimensionless and in dB).
(b) Half-power beamwidth (in degrees)
(c) Approximate maximum directivity (dimensionless and in dB). Indicate which approxi-
mate formula you are using and why?
(d) Approximate maximum directivity (dimensionless and in dB) using another approximate
formula. Indicate which other formula you are using and why?
(e) Maximum directivity (dimensionless and in dB) using the computer program
Directivity.

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