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Homework Statement
I have the circuit given below with a single node where R3 and ground meet. How can I solve this problem using the inspection method? Is it possible? I can easily solve using another method but I would rather try using the inspection method.
Homework Equations
Ax = M
A is the resistance matrix obtained via inspections
x is the voltage matrix
M is the current matrix
The Attempt at a Solution
Since there is only one node then my resistance matrix, obtained using inspection, will only have one row and one column. Thus in this case:
A = [ 17000]
The voltage matrix will only have my one at the node:
x = [V]
finally the current matrix will have the sum of all the current sources going into the node (subtract those going away):
M = [1mA + 1mA] = [2mA]
I can take the inverse of A and then multiply it by M to get:
x = A^1 * M
or
V = 2mA/17000
which i believe is the wrong answer. Am I wrong? Can I even solve this using inspection since it is only one node? Thanks.
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