Question

Assume a 150 -W loudspeaker broadcasts sound equally in all directions and produces sound with a level of 103dB at a distance of 1.60 m from its center.(a) Find its sound power output. If a salesman claims the speaker is rated at 150W , he is referring to the maximum electrical power input to the speaker.

Answer 1

According to the question; The output power is 0.643W.

What do you mean by power?

Power is the quantity of energy that is transported or transformed per unit of time in physics. The watt, which is equal to one joule per second in the International System of Units, is the unit of power. Power may also be referred to as activity in earlier writings. A scalar concept is a power.

According to the question:

Power, P₁ = 150W

Sound intensity level, β = 103db

Distance, d = 1.60m

The sound intensity level is β = 10log(I/I₀)

Reference intensity I₀ = 10⁻¹²

By solving, Intensity, I = 0.02w/m²

Power output P₀ = (4πd²) I

P₀ = 0.643W

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