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The radiation resistance of an antenna is 63Ω and loss resistance 7Ω If antenna has power gain of 16, then directivity is
  • a)
    48.26 dB
  • b)
    12.5 dB
  • c)
    38.96 dB
  • d)
    24.7 dB
Correct answer is option 'B'. Can you explain this answer?
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The radiation resistance of an antenna is 63Ω and loss resistance...
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The radiation resistance of an antenna is 63Ω and loss resistance...
Given information:
Radiation resistance (Rr) = 63
Loss resistance (Rl) = 7
Power gain (G) = 16

Calculating directivity:
Directivity (D) is a measure of how well an antenna focuses radiation in a particular direction. It is given by the formula:

D = 4π * (Rr / (Rr + Rl)) * G

Calculating the value of Rr / (Rr + Rl):
Rr / (Rr + Rl) is a ratio that determines the efficiency of the antenna. A higher value indicates a more efficient antenna.

Rr / (Rr + Rl) = 63 / (63 + 7) = 63 / 70 = 0.9

Substituting the value of Rr / (Rr + Rl) and G in the formula:
D = 4π * 0.9 * 16

Calculating the value of 4π * 0.9:
4π * 0.9 = 4 * 3.14159 * 0.9 = 11.30973

Substituting the value of 4π * 0.9 and G in the formula:
D = 11.30973 * 16 = 181.75568

Converting the result to dB:
Directivity in dB is given by the formula:

Directivity (dB) = 10 * log10(D)

Directivity (dB) = 10 * log10(181.75568) = 10 * 2.2593 = 22.593

Answer:
The directivity of the antenna is 22.593 dB. However, none of the given options match this value. Therefore, the correct answer may not be option 'B' as mentioned.
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The radiation resistance of an antenna is 63Ω and loss resistance 7Ω If antenna has power gain of 16, then directivity isa)48.26 dBb)12.5 dBc)38.96 dBd)24.7 dBCorrect answer is option 'B'. Can you explain this answer?
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