GATE EC 2014 Set 1 — Question 17
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Network Theory → Circuit Fundamentals & Theorems → KCL & KVL
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Question
Consider the configuration shown in the figure which is a portion of a larger electrical network
For and currents , which one of the following is TRUE?
Correct answer
(A) i₆ = 5 A
Solution
Label the nodes of the triangle: bottom-left , top , bottom-right . From the figure, , , all flow into their nodes; flows along the bottom resistor into , flows from up to , and flows from down to .KCL at : KCL at : KCL at : Check: treating the whole triangle as a supernode, .
- (A) A — true.
- (B) A, not A — false.
- (C), (D) — the data are consistent and sufficient, so both are false.
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