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Exercices
Consider
an element represented by the relationship
between current and voltage as V
= RI, R
is a proportional factor called
resistance. Is this device linear?
Type
your answer in the following box:
The response to a current
I1
is
The response to a current
I2
is
The sum of the responses is
Since the sum of the responses to
I1
and I2
is equal to the response to I1+I2,
the principle of superposition is satisfied.
Now consider the principle of homogeneity
We have for an excitation I2=
kI1
Therefore
satisfies the principle of homogeneity.
The system is linear since it
satisfies the principles of superposition
and homogeneity.
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Faculty of Engineering and Faculty of Education
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