JEE Advanced · PhysicsMedium

$In a communication system, the signal-to-noise ratio is S N R = 30 dB . Calculate the ratio of signal power S to noise power N .$

A. $10$
B. $100$
C. $1000$
D. $300$

Show correct answer & step-by-step solution

Correct answer: C — $1000$

Solution

S N R_{dB} = 10 lo g_{10} (\frac{S}{N}) . Therefore, 30 = 10 lo g_{10} (\frac{S}{N}) ⟹ 3 = lo g_{10} (\frac{S}{N}) ⟹ \frac{S}{N} = 1 0^{3} = 1000 .

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