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A baseband signal of \mathrm{3.5\, \mathrm{MHz}} frequency is modulated with a carrier signal of \mathrm{3.5\, \mathrm{GHz}} frequency using amplitude modulation method. What should be the minimum size of antenna required to transmit the modulated signal ?

Option: 1

\mathrm{42.8\, m}


Option: 2

\mathrm{42.8\, mm}


Option: 3

\mathrm{21.4\, mm}


Option: 4

\mathrm{21.4\, m}


Answers (1)

best_answer

Frequency of signal \mathrm{= f_{m}= 3.5\, MH_{z}}
Frequency of carrier signal \mathrm{= f_{c}= 3.5\, GH_{z}}

\mathrm{ \text{Minimum size of antenna}= \frac{\lambda }{4} }
Frequency of modulating signal is \mathrm{f_{c}}

\mathrm{\because \, C= f_{c}\lambda }
 \mathrm{3\times 10^{8}= 3.5\times 10^{9}\times \lambda }
\mathrm{ \lambda = \frac{3}{3.5}\times 10^{-1} }
\mathrm{\therefore \text{Minimum size of antenna}= \frac{\lambda }{4} }
                 \mathrm{= \frac{3}{14}\times 10^{-1} }
                 \mathrm{= 21.4\, mm }

The correct option is (3)

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Gunjita

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