Horrible Homework question on alternating currents

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SUMMARY

The discussion focuses on solving a homework problem related to alternating current (AC) circuits using an oscilloscope. The peak voltage of the AC source is determined to be 8.0V, and the root mean square (r.m.s) voltage is calculated as 5.7V. The time period of the AC signal is established at 3.0ms. The frequency calculation remains unresolved, but it is noted that frequency (f) is the inverse of the time period (T), expressed as f = 1/T.

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  • Understanding of alternating current (AC) circuits
  • Familiarity with oscilloscope operation and settings
  • Knowledge of voltage measurements, including peak and r.m.s voltage
  • Basic principles of frequency and time period calculations
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  • Learn about the significance of significant figures in electrical measurements
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Students studying electrical engineering, physics students tackling AC circuit problems, and educators seeking to clarify concepts related to oscilloscopes and AC measurements.

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Homework Statement



An alternating current source is connected to a resistor to form a complete circuit. The oscilloscope settings are: Y sensitivity 4.0v per division
Time base 1.0ms per division
(i)determine peak voltage of the a.c source
(ii)Hence calculate the r.m.s voltage
(iii)Determine the time period of the a.c signal
(iv)Hence calculate the frequency of the a.c signal

The oscilliscope trace was 4 divisions from peak to trough and 3 divisions for 1 complete wave.

Homework Equations





The Attempt at a Solution


The answers i got was
(i) 8.0v
(ii) 5.7v
(iii) 3.0ms
(iv) could not work out
 
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Sofie1990 said:

Homework Statement



An alternating current source is connected to a resistor to form a complete circuit. The oscilloscope settings are: Y sensitivity 4.0v per division
Time base 1.0ms per division
(i)determine peak voltage of the a.c source
(ii)Hence calculate the r.m.s voltage
(iii)Determine the time period of the a.c signal
(iv)Hence calculate the frequency of the a.c signal

The oscilliscope trace was 4 divisions from peak to trough and 3 divisions for 1 complete wave.

Homework Equations





The Attempt at a Solution


The answers i got was
(i) 8.0v
So far so good. :approve:

But just to be nit-picky, I've never liked the use of the phrase "peak voltage" to describe the amplitude of an AC signal. It's too easily confused with "peak-to-peak." But I guess you have no choice in that, given your coursework. The term "peak voltage" is standard terminology even if I don't like it. Your answer is correct as it is.
(ii) 5.7v
I'm not sure how many significant figures you are supposed to use, but with only two significant figures, your answer is correct. :approve:
(iii) 3.0ms
Correct. :approve:
(iv) could not work out
The frequency, f, of a signal is the inverse of its period, T. In other words, f = 1/T.

If T is measured in seconds, than f is measured in Hertz (Hz).
 

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