Frequency and RMS Voltage Measurements in Electrical Circuits, Lab Reports of Physics

The relationship between frequency and period in electrical circuits, as well as the measurement of rms voltage and current in resistors using a function generator and oscilloscope. The document also addresses potential errors in experimental measurements.

Typology: Lab Reports

2019/2020

Uploaded on 06/05/2022

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Discussion:
1)Based on the experiment ,for Figure 7.3(a),the
frequency given on function generator is 1kHz same
with on the oscilloscope. The waveform on the
oscilloscope show the time taken for one complete cycle
is 1.0×10−3s.As the frequency,f equal to 1 over period,
hence the frequency on the oscilloscope is 1kHz. As for
Figure 7.3(b),the frequency on the function generator is
1.5kHz. This value slightly different from the
oscilloscope because the waveform produce was not
precise as the grid of the oscilloscope cannot produce
accurate value.Hence the time taken for one complete
cycle is estimate 7.0×10−4s with frequency
1.43kHz.Lastly,for Figure 7.3(c), the frequency given on
function generator is 2kHz which is same with the
waveform on the oscilloscope.The time taken for one
complete cycle on the oscilloscope is 5.0×10−4s.Hence
the frequency on the oscilloscope is 2kHz
2)As the value of frequency increase,the period is
decrease.Hence,the frequency is inversely proportional
to the period.This can be seen in the experiment when
the frequency on the function generator increase from
1.0kHz to 2.0kHz,then the period is decrease from
1.0×10−3s to 5.0×10−4s on the oscilloscope
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Discussion: 1)Based on the experiment ,for Figure 7.3(a),the frequency given on function generator is 1kHz same with on the oscilloscope. The waveform on the oscilloscope show the time taken for one complete cycle is 1.0× 10 − 3 s.As the frequency,f equal to 1 over period, hence the frequency on the oscilloscope is 1kHz. As for Figure 7.3(b),the frequency on the function generator is 1.5kHz. This value slightly different from the oscilloscope because the waveform produce was not precise as the grid of the oscilloscope cannot produce accurate value.Hence the time taken for one complete cycle is estimate 7.0× 10 − 4 s with frequency 1.43kHz.Lastly,for Figure 7.3(c), the frequency given on function generator is 2kHz which is same with the waveform on the oscilloscope.The time taken for one complete cycle on the oscilloscope is 5 .0× 10 − 4 s.Hence the frequency on the oscilloscope is 2kHz 2)As the value of frequency increase,the period is decrease.Hence,the frequency is inversely proportional to the period.This can be seen in the experiment when the frequency on the function generator increase from 1.0kHz to 2.0kHz,then the period is decrease from 1.0×^10 − 3 s to 5 .0×^10 − 4 s on the oscilloscope

3)Based on the experiment,the value of RMS Voltage is 2.12V for 30 Ω.This mean direct value of 2.12V dissipates heat in 30 Ω resistor and it is equal to the average power dissipated by alternating voltage.As for 1kΩ resistor,the value of RMS Voltage is 3.54V.Hence the value of RMS voltage is depend on the value of resistance that according to the Ohm’s Law. Next, the value of RMS current for 30 Ω resistor is 0.07A.This mean 0.07A is a effective value of alternating current that flow through the resistor which is the same as direct current that both dissipated the same average amount of power.As for 1kΩ resistor,the value of RMS Current is 3.54× 10 − 3 A.Hence the value of RMS Current also depend on the value of resistance that according to the Ohm’s Law.the higher the resistance,the lower value of current can flow. As for the values frequency and the angular frequency for both resistor are the same which is 1000Hz and 6283.19 rad s¯ respectively.This concluded the values of frequency are not depend on the value of resistance.As angular frequency is depend on the frequency itself so the value for both of the angular frequency is the same for both of the resistor Lastly,the value of peak current for 30 Ω resistor is 0.1A and for 1kΩ resistor the value of peak current is 5.0× 10 − 3 A. The peak current changes according the value of resistor that follow the Ohm’s Law.The different between peak current and RMS current is the RMS current provide the average amount of current to flow through the resistance that equal with current that provide by direct current.