Hi
The following circuit i have tried to find the current and and voltage but i get wrong answer. Can someone suggest how would they approach this question. Also where have a gone wrong?
This is what i have done:
I have choose to use mesh analysis to determine the currents in the circuit.
KVL Mesh 1
470\(i_{1}\) + 4700(\(i_{1}\) - \(i_{2}\)) + 2200\(i_{1}\) = 10
KVL Mesh 2
10000\(i_{2}\) + 10000(\(i_{2}\) - \(i_{3}\)) + 4700(\(i_{2}\) - \(i_{1}\)) = 0
KVL Mesh 3
4700(\(i_{3}\) - \(i_{4}\)) + 10000(\(i_{3}\) - \(i_{2}\)) = 0
KVL Mesh 4
2200\(i_{4}\) + 4700(\(i_{4}\) - \(i_{3}\)) = 0
simplied as follows
7370\(i_{1}\) - 4700\(i_{2}\) = 10
23700\(i_{2}\) - 10000\(i_{3}\) - 4700\(i_{1}\) = 0
14700\(i_{3}\) - 4700\(i_{4}\) - 10000\(i_{2}\) = 0
6900\(i_{4}\) - 4700\(i_{3}\) = 0
KCL \(i_{1}\) = \(i_{3}\) + \(i_{4}\)
replace \(i_{1}\) in the KVL
7370(\(i_{3}\) + \(i_{4}\)) - 4700\(i_{2}\) = 10
24700\(i_{2}\) - 10000\(i_{3}\) - 4700(\(i_{3}\) + \(i_{4}\)) = 0
14700\(i_{3}\) - 4700\(i_{4}\) - 10000\(i_{2}\) = 0
now i use matrix to find the values, however i realized that my answer was incorrect when i got 0 for determinate \(i_{2}\).
P.S
The following circuit i have tried to find the current and and voltage but i get wrong answer. Can someone suggest how would they approach this question. Also where have a gone wrong?
This is what i have done:
I have choose to use mesh analysis to determine the currents in the circuit.
KVL Mesh 1
470\(i_{1}\) + 4700(\(i_{1}\) - \(i_{2}\)) + 2200\(i_{1}\) = 10
KVL Mesh 2
10000\(i_{2}\) + 10000(\(i_{2}\) - \(i_{3}\)) + 4700(\(i_{2}\) - \(i_{1}\)) = 0
KVL Mesh 3
4700(\(i_{3}\) - \(i_{4}\)) + 10000(\(i_{3}\) - \(i_{2}\)) = 0
KVL Mesh 4
2200\(i_{4}\) + 4700(\(i_{4}\) - \(i_{3}\)) = 0
simplied as follows
7370\(i_{1}\) - 4700\(i_{2}\) = 10
23700\(i_{2}\) - 10000\(i_{3}\) - 4700\(i_{1}\) = 0
14700\(i_{3}\) - 4700\(i_{4}\) - 10000\(i_{2}\) = 0
6900\(i_{4}\) - 4700\(i_{3}\) = 0
KCL \(i_{1}\) = \(i_{3}\) + \(i_{4}\)
replace \(i_{1}\) in the KVL
7370(\(i_{3}\) + \(i_{4}\)) - 4700\(i_{2}\) = 10
24700\(i_{2}\) - 10000\(i_{3}\) - 4700(\(i_{3}\) + \(i_{4}\)) = 0
14700\(i_{3}\) - 4700\(i_{4}\) - 10000\(i_{2}\) = 0
now i use matrix to find the values, however i realized that my answer was incorrect when i got 0 for determinate \(i_{2}\).
P.S
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