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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.
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