The relationship between the current I through a resistor and the voltage drop V across it is given by Ohm's Law V=IR.
Successive experiments are performed in which a known current (measured in amps) is passed through a resistor of
unknown resistance R and the voltage drop (measured in volts) is measured. This results in the (l,V) data ,
2.1. The data is assumed to have measurement errors that prevent it from following
Ohm's Law precisely.
(a) Set up a 5 imes 1 linear system that represents the 5 equations I_(0)=RV_(0),dots,I_(4)=RV_(4).
(b) Is this system consistent?
(c) Find the least squares solution of this system and interpret your result.
The relationship between the current I through a resistor and the voltage drop V across it is given by Ohm's Law V = IR Successive experiments are performed in which a known current (measured in amps) is passed through a resistor of unknown resistance R and the voltage drop (measured in volts) is measured. This results in the (1, V) data (0.1, 1), (0.2. 2.1), (0.3, 2.9), (0.4, 4.2), (0.5, 5.1). The data is assumed to have measurement errors that prevent it from following Ohm's Law precisely.
(a) Set up a 5 1 linear system that represents the 5 equations Ig = RVg, ..., 14 = RV 4
(b)Is this system consistent?
(c) Find the least squares solution of this system and interpret your result.
