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The voltage across the terminals of an ac power supply varies with time according to Eq. (31.1). The voltage amplitude is V=45.0 V. What are (a) the root mean-square potential differenceVrmsand (b) the average potential differenceVavgbetween the two terminals of the power supply?

Short Answer

Expert verified

The root mean square potential difference Vrms=31.8V and Vavg=0

Step by step solution

01

Step-1: Formulas used  

The maximum value of the voltageVmaxis the amplitude of the voltage wave

Vrms=Vmax2, where is Vrmsthe root mean square voltage.

02

Step-2: Calculation for root mean square voltage Vrms  

Vrms=45V2=31.8V

03

Step-3: Calculation for average potential difference Vavg

In opposite to the current, the voltage has no average value. Because it is a sinusoidal wave, and between the two terminals of the power supply, so average potential difference is 0

Therefore the root mean square potential difference Vrms=31.8V and Vavg=0

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