Find the power and the rms value of the following signal square: x(t) = 10 sin(10t) sin(15t) 1. Px =
2. xrmx =

Explanation:

Given that:

x(t) = 10 sin(10t) . sin (15t)

the objective is to find the power and the rms value of the following signal square.

Recall that:

sin (A + B) + sin(A - B) = 2 sin A.cos B

x(t) = 10 sin(15t) . cos (10t)

x(t) = 5(2 sin (15t). cos (10t))

x(t) = 5 × ( sin (15t + 10t) +  sin (15t-10t)

x(t) = 5sin(25 t) + 5 sin (5t)

From the knowledge of sinusoidial signal  Asin (ωt), Power can be expressed as:

For the number of sinosoidial signals;

Power can be expressed as:

As such,

For x(t), Power  

For the number of sinosoidial signals;

For x(t), the RMS value is as follows:

answer:

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explanation: