Question:
The power radiated by a linear antenna of length \(\ell\) at wavelength \(\lambda\) is
The power radiated by a linear antenna of length \(\ell\) at wavelength \(\lambda\) is
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Antenna radiation increases for shorter wavelength.
Updated On: May 8, 2026
- directly proportional to \(\ell\)
- inversely proportional to \(\lambda\)
- inversely proportional to \(\ell\)
- directly proportional to \(\lambda^2\)
- inversely proportional to \(\lambda^2\)
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The Correct Option is
Solution and Explanation
Concept:
Radiated power:
\[
P \propto \left(\frac{\ell}{\lambda}\right)^2
\]
Step 1: Write relation. \[ P \propto \frac{\ell^2}{\lambda^2} \]
Step 2: Observe dependence.
• Directly proportional to \(\ell^2\)
• Inversely proportional to \(\lambda^2\)
Step 3: Conclusion. \[ \boxed{\text{Inversely proportional to } \lambda^2} \]
Step 1: Write relation. \[ P \propto \frac{\ell^2}{\lambda^2} \]
Step 2: Observe dependence.
• Directly proportional to \(\ell^2\)
• Inversely proportional to \(\lambda^2\)
Step 3: Conclusion. \[ \boxed{\text{Inversely proportional to } \lambda^2} \]
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