Question

If the output voltage of directive microphone is 0.3 mV is the direction of maximum output and in same condition the output voltage of omni directional microphone is 3 m V then the directivity of directive microphone is

Answer 1

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Answer 2

Answer:

The directivity of directive microphone is 40dB.

Explanation:

Given the output voltage of directive microphone, $E = 0.3 mV =0.3\times 10^{3} \mu V$

The output voltage of omni directional microphone,  $E_o= 3 \mu V$

[Output voltage 3mV is corrected to 3μV, which is the normal range]

When the intensity of sound is constant, directivity of a microphone is defined as the ratio of the output in a direction of maximum response to the output of omnidirectional microphone in the same direction.

Mathematically written as, $D=\dfrac{E}{E_o}$

where, E is the output in the direction of maximum output and $E_o$ is the output in the direction of omnidirectional microphone.  

In logarithmic scale, directivity is given by

$D=20log\dfrac{E}{E_o}$

 Substituting the values, the directivity of directive microphone is

$D=20log\dfrac{0.3\times 10^{3} }{3}=20log\dfrac{300 }{3}$

$=20log100=20\times 2=40dB$

Therefore, the directivity of directive microphone is 40dB.