5.1LINEARITY OF A CIRCUIT AND SUPERPOSITION THEOREM
i.e., i a
10bI. The source function value of voltage source has been
substituted in this equation. i is given to be 1 A when I 0 and 2 A when I 10 A.
Therefore, a 0.1 A/V and b 0.1 A/A if the circuit is linear.
Then, when I –10 A, the current delivered by the voltage source must be 0.1
10 0.1 10 0 A. But it is stated that the current observed under this condition is 0.5 A.
Hence, the circuit within the box is not linear.
I
R
i
V
A linear memoryless
network without any
independent sources
+
–
Fig. 5.1-6 Circuit for
Example 5.1-2
I
1
I
2
R
i
V
A linear memoryless
network without any
independent ...
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