GATE EC 2015 Set 1 — Question 18
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Network Theory → Circuit Fundamentals & Theorems → KCL & KVL
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Question
In the given circuit, the values of and respectively are
Correct answer
(A) 5 V, 25 V
Solution
Let the bottom node be the reference ground (0 V). Let be the voltage at the node connecting the horizontal resistor and the vertical branches. Note that .
Therefore, and .
1.The current is defined through the first vertical resistor: .
2.The current through the second vertical resistor is also .
3.The dependent current source is pointing downwards.
4.Applying KCL at node B, the current entering from the horizontal resistor () is:
.5.Applying KCL at the top-left node, the source current must equal :
. Thus, .6.The voltage is the voltage at the top-left node:
.Therefore, and .
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