Superposition can be a useful method even when we don\'t have the actual circuit

Question

Superposition can be a useful method even when we don't have the actual circuit schematic. Suppose a linear circuit is driven by an independent voltage source and an independent current source. Measurements show that when the voltage source is set to 10 V and the current source is set to 10 mA. the output voltage is 1 V. When the voltage source is set to 10 V and the current source is set to O mA. the output voltage is 2 V. Show mathematically that given the above measurement results one can predict that if the voltage source is set to 20 V and the current source to -20 mA. the voltage will be 6 V. Also predict what the output voltage would be if the voltage source is set to 5 V and the current source 20 mA.

Explanation / Answer

ANS:- Construct a matrix with the given variables of current voltage as below- [ 10 10 1 10 0 2 20 -20 x] x be the voltage to find out. FOr unique solution det(matrix)= 0 => -10(10x- 80) -200 =0 => x= 6 V. b) New matrix [10 10 1 10 0 2 5 20 x] Solving for det =0 gives x= -1 V Enjoy , please rate

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