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An antenna has a beam solid angle of \( 0.04 \) steradians. What is its directivity?

  • A.About 12.6, which is the value in decibels
  • B.About 314
  • C.About 100
  • D.About 25

Answer: B

Directivity is four pi divided by the beam solid angle:

\[ D = \tfrac{4\pi}{0.04} \approx 314 \]

so about 314, or roughly 25 decibels. The relation shows directly that concentrating radiation into a smaller solid angle raises directivity in exact proportion, and it is the cleanest statement of what an antenna does: it redistributes a fixed radiated power over a smaller range of directions rather than creating power.

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