Theoretical Resistance Vs Experimental

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SUMMARY

The discussion focuses on the discrepancies between theoretical and experimental resistance values for resistors R1 (23.080 Ohms) and R2 (41.289 Ohms) in both series and parallel configurations. The experimental series resistance measured 58.769 Ohms, while the theoretical value was 64.369 Ohms. In parallel, the experimental resistance was 16.846 Ohms compared to the theoretical 14.804 Ohms. The differences are attributed to additional resistance from the connecting wires, which affects the overall measurements.

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multiix
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Homework Statement


Suggest a reason why theoretical and experimental results for resistors R1 and R2 are different for: experimental R1 and R2 in series vs R1+R2
and Experimental R1 and R2 in parallel vs 1/R1+1/R2

R1=23.080 Ohms
R2=41.289 Ohms

Series Experimental=58.769 Ohms
Series Theoretical=64.369 Ohms

Parallel Experimental=16.846 Ohms
Parallel Theoretical=14.804 Ohms

Homework Equations


Parallel: Rs=1/R1+1/R2
Series: Rs=R1+R2

The Attempt at a Solution


Parallel.
In this example as well since the current has to travel through extra wire which makes it a parallel. The wire's resistance adds on to the calculated resistors value.

Series:
The theoretical and experimental values for the resistance are different since the electricity has to travel through extra wire in case 1 and this wire causes resistance which adds to the value of the final resistance measured. The value which is more reliable for measuring the series's resistance is 58.769 Ohms as measued in Part 2

Is this correct^?
 
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multiix said:
Parallel.
In this example as well since the current has to travel through extra wire which makes it a parallel. The wire's resistance adds on to the calculated resistors value.

Series:
The theoretical and experimental values for the resistance are different since the electricity has to travel through extra wire in case 1 and this wire causes resistance which adds to the value of the final resistance measured. The value which is more reliable for measuring the series's resistance is 58.769 Ohms as measued in Part 2

Is this correct^?
Parallel: Yes, the resistance of the wires will increase the measured value. However, 2Ω of extra resistance is really a lot, the wires must be really thin or long.

Series: The resistance of the wires will increase the measured value. However, the measured value was less than the theoretical sum. So you need to think of a reason the resistance would be smaller than expected, not larger.
 
multiix said:
Parallel: Rs=1/R1+1/R2
should read 1/Rs =1/R1+1/R2

Did you measure the resistance with a multimeter? Which ever apparatus you used, those have some resistances too
 
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