What might cause the theoretical values to differ from the experimental? (i.e.,
ID: 1609648 • Letter: W
Question
What might cause the theoretical values to differ from the experimental? (i.e., what real-world effects did the theoretical calculation fail to account for?) Are these effects significant? Sometimes you should look for simplifications before applying Kirchhoff's rules to a circuit. Given that, in the circuit diagram below, you want to find current I_1, what simplifications could you make before you start the circuit analysis? Is there a better way to find I_1 than to use Kirchhoff's rules? Can you make the same simplification if you are trying to find I_2? Why or why not?Explanation / Answer
The theoretical value differ from experimental value, there may be numeorus reason. They are as follows
1.The environment required to conduct an experiment is not perfectly matching the environment described for theoretical experiment.
2. The exact condition to conduct an experiment is not possible many a time.
3. Theoretical value is based on some factor considered however, in reality it is affected by some other factor too, may be not significant many a time.
Are these effect significant?
These effects are significant becuase it alters the value i real world.
3. In this case, just finding total ressistence in the circuit, will enble to calculate I1.
total ressitence can be calculated bu using series and parrallel combination of ressistance.
4. yes we can make simplification here too for finding I2.
Using current distribution formula for branches
The amount of current is determined by the total resistance of the circuit and the applied voltage.
The current I1 appeared in figure must be disributed as per ressistance in two direction (two arms). If ressiatnce are equal in two arms, then current will be divided equally.
In the fig, equivalent ressistance in ( i2 direction) is =R+R/3=4/3R, hence more ressistance then other arm R, current will be less in this arm (I2)
Suppose current I3 flow in that arm=I1*(R/(R+4/3R)) (NOTE NUMERATOR OF opposite direction, to get this direction current)
later this I3 is divided by 3 to get I2 in each equal ressistance.
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