Effective and mean voltage

A voltage divider consisting of resistors R1 = 103000 Ω and R2 = 197000 Ω is connected to the ideal sine wave voltage source, R2 is connected to a voltmeter which measures the mean voltage and has an internal resistance R3 = 200300 Ω, the measured value is 109 V. Determine the effective source voltage.

Correct answer:

U1 =  246.6253 V

Step-by-step explanation:

R1=103000 Ω R2=197000 Ω R3=200300 Ω  U2=109 V U21=π U2/2=3.1416 109/2171.2168 V U22=U21/2=171.2168/2121.0686 V  I3=U22/R3=121.0686/2003000.0006 A I2=U22/R2=121.0686/1970000.0006 A I1=I2+I3=0.0006+0.00060.0012 A  U11=I1 R1=0.0012 103000125.5567 V  U1=U11+U22=125.5567+121.0686=246.6253 V



Did you find an error or inaccuracy? Feel free to write us. Thank you!







You need to know the following knowledge to solve this word math problem:

    Units of physical quantities:

    Themes, topics:

    Grade of the word problem:


     
    We encourage you to watch this tutorial video on this math problem: video1

    Related math problems and questions: