The voltage V of an audio speaker can be represented by V= 4 sqrt P ​, where P is the power of the speaker. An engineer wants to design a speaker with 361 watts of power. What will the voltage​ be?

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Answer:

[tex]Voltage=76\ volts[/tex]

Step-by-step explanation:

[tex]Given\ V=4\sqrt{P}\\\\where\ V\ is\ voltage\ and\ P\ is\ Power.[/tex]

[tex]Here\ power\ is\ given\\\\P=361\ watts\\\\Substitute\ P\ in\ the\ given\ equation\\\\V=4\sqrt{P}\\\\V=4\sqrt{361}\\\\V=4\sqrt{19\times 19}\\\\V=4\times 19\\\\V=76\ volts[/tex]

The voltage of an audio speaker is 76 volts.

Given that

The voltage V of an audio speaker can be represented by [tex]\rm V = 4\sqrt{P}[/tex].

Where P is the power of the speaker.

An engineer wants to design a speaker with 361 watts of power.

We have to determine

What will the voltage​ be of an audio speaker?

According to the question

The voltage V of an audio speaker can be represented by [tex]\rm V = 4\sqrt{P}[/tex].

The power of the audio speaker = 361 watts

The voltage of an audio speaker is;

[tex]\rm V = 4\sqrt{P}\\ \\ \rm V = 4\sqrt{361}\\ \\ V = 4 \times 19\\ \\ V = 76 [/tex]

Hence, the voltage of an audio speaker is 76 volts.

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