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5.30 Decibels Engineers often measure the ratio of two power measurements in dec

ID: 3281057 • Letter: 5

Question

5.30 Decibels Engineers often measure the ratio of two power measurements in decibels, or dB. The equation for the ratio of two power measurements in decibels is P. dB = 10 log,0P, (5.20) where P, is the power level being measured, and P, is some reference power level. Assume that the reference power level P, is I watt, and write a pro- gram that calculates the decibel level corresponding to power levels be- tween 1 and 20 watts, in 0.5 W steps. Plot the dB-versus-power curve on a log-linear scale.

Explanation / Answer

P1 = 1;
P2 = 1 : .5 : 20;
dB = 10 * log10(P2 / P1);
semilogx(P2, dB)
xlabel('P_2'); legend('10log(P_2 / P_1)'); grid on

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