A resistor dissipates 2. 00 ww when the rms voltage of the emf is 15. 0 vv. part a at what rms voltage will the resistor dissipate 14. 0 ww ?

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02-08-2022
Physics

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A resistor dissipates 2. 00 ww when the rms voltage of the emf is 15. 0 vv. part a at what rms voltage will the resistor dissipate 14. 0 ww ?

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tripatsingh039 tripatsingh039 · Answer 1 · 2022-08-10T05:59:41+02:00

At rms voltage ([tex]V_{rms}[/tex]) = 39.59V resistor will dissipate 14.0W.

The term "alternating current" (AC) describes a current in which the voltage and current both take the shape of sinusoidal waves. Root mean square value is indicated by the letter "rms." Both the mean voltage and mean current of an alternating circuit are represented by it.

Also, power dissipated is

P = [tex]V^{2} _{rms}[/tex] / R

2 = [tex]15^{2}[/tex] / R

2 = [tex]\frac{225}{R}[/tex]

R = 112Ω

If P = 14 W,

[tex]V^{2} _{rms}[/tex] = PR

[tex]V^{2} _{rms}[/tex] = 14×112

[tex]V^{2} _{rms}[/tex] = √1568 = 39.59V

Therefore, at rms voltage ([tex]V_{rms}[/tex]) = 39.59V resistor will dissipate 14.0W.

Learn more about rms voltage ([tex]V_{rms}[/tex]) here:

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