How many divisions will the traces differ in this oscilloscope calculation?

In summary: So how many total divisions is that?That looks better! So how many total divisions is that?In summary, the two waveforms V1 = 10cos(10^4t) and V2 = 5cos(10^4t + pi/3), when displayed on an oscilloscope with a time base setting of 0.1msec/div, will differ by approximately 1.05 divisions. This is due to the phase shift of pi/3, which represents 1/6 of a period, or 0.105 milliseconds.
  • #1
eehelp150
237
0

Homework Statement


V1 = 10cos(10^4t)
V2 = 5cos(10^4t + pi/3)
Time Base setting = 0.1msec/div

By how many divisions will these two traces differ?

Homework Equations


W = 2pi/T[/B]

The Attempt at a Solution


W = 2pi/T
T = 2pi/W
W = 10^4
T = 0.628 milliseconds
0.628milliseconds/(0.1msec/div) = 6.28 divisions
Would the difference between 10cos and 5cos add a factor of 2 or 1/2 to the # of divisions?
 
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  • #2
eehelp150 said:
Would the difference between 10cos and 5cos add a factor of 2 or 1/2 to the # of divisions?

No. The 10 and 5 give you the amplitude. For example at a peak, when cos(...) =1, one waveform has the value 10 and the other 5.

Hints:

a) Both waveforms have a common 104t term. What does that mean?
b) One also has another term pi/3. What does that represent?
 
  • #3
eehelp150 said:
Would the difference between 10cos and 5cos add a factor of 2 or 1/2 to the # of divisions?
You are making this difficult for yourself if you are attempting to answer this question without first sketching how the oscilloscope is displaying these two signals.

If you think you don't need to sketch this, then I say you most certainly do need to‼‼ [emoji678]
 
  • #4
CWatters said:
No. The 10 and 5 give you the amplitude. For example at a peak, when cos(...) =1, one waveform has the value 10 and the other 5.

Hints:

a) Both waveforms have a common 104t term. What does that mean?
b) One also has another term pi/3. What does that represent?
a. Same frequency
b. Phase shift
 
  • #5
Correct.

Which of a and b shifts the trace left to right along the time axis relative to the other?
 
  • #6
CWatters said:
Correct.

Which of a and b shifts the trace left to right along the time axis relative to the other?
B would shift the graph over to the right by pi/3?
 
  • #7
Correct.

Although I think V2 would be shifted left relative to V1.
 
  • #8
CWatters said:
Correct.

Although I think V2 would be shifted left relative to V1.
So how many divisions will these two traces differ?

Pi/3 divisions?
 
  • #9
You have calculated the period of the signals (the time for one cycle). How much of one period does the phase angle represent? What is it in milliseconds?
 
  • #10
gneill said:
You have calculated the period of the signals (the time for one cycle). How much of one period does the phase angle represent? What is it in milliseconds?
1/3 of the period?
0.209 ms?
 
  • #11
eehelp150 said:
1/3 of the period?
0.209 ms?
Can you show how you determined the 1/3 value? Is pi/3 really 1/3 of a full circle?
 
  • #12
gneill said:
Can you show how you determined the 1/3 value? Is pi/3 really 1/3 of a full circle?
Pi/3 is 1/6 of the total period, so would it be 0.105ms or 1.05 divisions?
 
  • #13
eehelp150 said:
Pi/3 is 1/6 of the total period, so would it be 0.105ms or 1.05 divisions?
That looks better!
 

1. What is an oscilloscope and how does it work?

An oscilloscope is a scientific instrument used to measure and display electronic signals. It works by capturing an electrical signal and converting it into a visual representation on a screen, allowing scientists to analyze and measure various parameters of the signal.

2. How do I calculate frequency using an oscilloscope?

To calculate frequency using an oscilloscope, you need to measure the time interval between two adjacent peaks of the signal on the horizontal axis, and then use the formula frequency = 1/time interval.

3. What is the difference between peak-to-peak and RMS voltage measurements on an oscilloscope?

Peak-to-peak voltage refers to the difference between the maximum positive and negative voltage levels of a signal, while RMS (root mean square) voltage is a value that represents the average voltage of a signal. Peak-to-peak voltage is often used to measure the amplitude of a signal, while RMS voltage is used to determine the power of a signal.

4. Can an oscilloscope calculate phase difference?

Yes, an oscilloscope can calculate phase difference between two signals by measuring the time delay between the two signals. The phase difference can be calculated using the formula phase difference = (time delay/period) x 360 degrees.

5. Is it possible to perform mathematical calculations on an oscilloscope?

Yes, most modern oscilloscopes have built-in mathematical functions that allow you to perform various calculations such as addition, subtraction, multiplication, and division on the displayed signals. These functions can help you analyze and interpret complex waveforms.

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