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The radiated power is therefore:<br />
d. At 1200 MHz:<br />
P rad = 1.8535 η 0I 0<br />
2<br />
4π = 1.8535×377×4<br />
4π<br />
= 222.43 w<br />
The radiated power is:<br />
λ = c f = 3×10 8<br />
= 0.25 m → L = 4λ<br />
1200×106 P rad = η 0I 0<br />
2<br />
4π ⌠ ⌡<br />
θ=π<br />
θ=0<br />
( ( ) )<br />
cos (4πcosθ − cos(4π) 2<br />
sinθ<br />
dθ = 3.5168η 0I 0<br />
2<br />
4π<br />
= 3.5168×377×4<br />
4π<br />
= 422<br />
w<br />
Note how much more power is radiated for the long antennas compared with the short dipole in<br />
(a).