Calculate the length of half wave dipole antenna at (a) `30MHz` (b) `300 MHz` (c) `3000MHz`. What interference do you draw from these results?

Explanation

(a) `v = 30 MHz = 30 xx 10^(6) Hz`
`lambda = c/v = (3 xx 10^(8))/(30 xx 10^6) = 10m`
` l = lambda/2 = 10/2 = 5m`
(b) `v = 300MHz = 300 xx 10^(6) Hz`
`= 3 xx 10^(8) Hz`
`l = lambda/2 = 1/2 (c/v) = 1/2 ((3xx10^8)/(3xx10^8)) = 0.5m`
(c) `v = 3000 MHz = 3000 xx 10^(6) Hz`
`3 xx 10^(9) Hz`
`l = lambda/2 = 1/2 (c/v) = 1/2 ((3 xx 10^8)/(3xx 10^9))`
`=0.05m`
We observe that length of dipole antenna
decreases as frequency of transmission is increased.