Theoretical Resistance Vs Experimental

In summary: So Rs is not only the sum of the individual resistances, but also the overall resistance of the measuring circuit.
  • #1
multiix
15
0

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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  • #2
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.
 
  • #3
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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FAQ: Theoretical Resistance Vs Experimental

What is the difference between theoretical and experimental resistance?

Theoretical resistance refers to the predicted resistance of a material or system based on mathematical models and equations. This resistance is calculated using known physical properties and assumptions. On the other hand, experimental resistance is the actual resistance measured through physical experiments and tests.

Why is there a difference between theoretical and experimental resistance?

Theoretical resistance is based on ideal conditions and assumptions, while experimental resistance takes into account real-world variables and imperfections. Additionally, experimental resistance can be affected by external factors such as temperature, humidity, and measurement errors.

Which is more accurate: theoretical or experimental resistance?

Both theoretical and experimental resistance have their own strengths and limitations. Theoretical resistance provides a good baseline estimate, but it may not accurately reflect real-world conditions. Experimental resistance, on the other hand, is based on actual measurements and can take into account various variables, making it more accurate in some cases.

How do theoretical and experimental resistance impact scientific research?

Theoretical resistance is used to make predictions and guide research, while experimental resistance validates and refines those predictions. Both are important in the scientific process, as they work together to develop a deeper understanding of the properties and behaviors of materials and systems.

Can theoretical and experimental resistance ever be the same?

In ideal conditions, theoretical and experimental resistance can be the same. However, in most cases, there will be some discrepancy due to the limitations and assumptions of theoretical models and the complexity of real-world systems. Scientists strive to minimize this difference through further research and refinement of theoretical models.

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