Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the current i flowing through the resistor as V = iR. Where R is the resistance. However, real resistors may not always obey Ohm's law. Suppose that you perform some very precise experiments to measure the voltage drop and the corresponding current for a resistor. The following results suggest a curvilinear relationship rather than the straight line represented by Ohm's law. i -1 - 0.5 - 0.25 0.25 0.5 1 V -637 -96.5 -20.25 20.5 96.5 637 Instead of the typical linear regression method for analyzing such experimental data, fit a curve to the data to quantify the relationship. Compute V for i = 0.1 using Newton's Divided Difference Method.
Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the current i flowing through the resistor as V = iR. Where R is the resistance. However, real resistors may not always obey Ohm's law. Suppose that you perform some very precise experiments to measure the voltage drop and the corresponding current for a resistor. The following results suggest a curvilinear relationship rather than the straight line represented by Ohm's law. i -1 - 0.5 - 0.25 0.25 0.5 1 V -637 -96.5 -20.25 20.5 96.5 637 Instead of the typical linear regression method for analyzing such experimental data, fit a curve to the data to quantify the relationship. Compute V for i = 0.1 using Newton's Divided Difference Method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional
to the current i flowing through the resistor as V= iR. Where R is the resistance. However,
real resistors may not always obey Ohm's law. Suppose that you perform some very
precise experiments to measure the voltage drop and the corresponding current for a
resistor. The following results suggest a curvilinear relationship rather than the straight
line represented by Ohm's law.
i
-1
- 0.5
- 0.25
0.25
0.5
1
V
-637
-96.5
-20.25
20.5
96.5
637
Instead of the typical linear regression method for analyzing such experimental data, fit a
curve to the data to quantify the relationship. Compute V for i = 0.1 using Newton's
Divided Difference Method.
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