A dc voltage equal to Vdc V is applied to a resistor of R Ω. Asinusoidal voltage equal to vs V is also applied to a resistor of R Ω.Show that the dc voltage will deliver the same amount of energy in Tseconds (where T is the period of the sinusoidal voltage) as thesinusoidal voltage provided Vdc equals the rms value of vs. (Hint:Equate the two expressions for the energy delivered to the resistor.)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.3P: The instantaneous voltage across a circuit element is v(t)=400sin(t+30)volts, and the instantaneous...
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A dc voltage equal to Vdc V is applied to a resistor of R Ω. A
sinusoidal voltage equal to vs V is also applied to a resistor of R Ω.
Show that the dc voltage will deliver the same amount of energy in T
seconds (where T is the period of the sinusoidal voltage) as the
sinusoidal voltage provided Vdc equals the rms value of vs. (Hint:
Equate the two expressions for the energy delivered to the resistor.)

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