📘 GATE Electrical – Network Theory Advanced Practice Set 2 (KCL & KVL)
This set contains competitive-level problems designed for serious GATE aspirants.
Target solving time: 2–4 minutes per question.
📌 Problem 1 – Node Voltage (GATE Level)
A node V is connected to:
• 5Ω resistor to 20V source
• 10Ω resistor to ground
• 5Ω resistor to 10V source
Find node voltage V.
✔ Solution:
Apply KCL:
(V − 20)/5 + V/10 + (V − 10)/5 = 0
Multiply by 10:
2(V − 20) + V + 2(V − 10) = 0 2V − 40 + V + 2V − 20 = 0 5V − 60 = 0 V = 12V
Final Answer: V = 12V
📌 Problem 2 – Loop Current Method
Two resistors 3Ω and 6Ω are in series with 18V source.
Find current and voltage across 6Ω resistor.
✔ Solution:
Total resistance = 3 + 6 = 9Ω
I = 18 / 9 = 2A
Voltage across 6Ω = 2 × 6 = 12V
Final Answer: I = 2A, V(6Ω) = 12V
📌 Problem 3 – Two Node Equation
Two nodes V1 and V2 connected by 4Ω.
V1 connected to 16V through 8Ω.
V2 connected to ground through 4Ω.
Find V2.
✔ Solution Approach:
KCL at V1:
(V1 − 16)/8 + (V1 − V2)/4 = 0
KCL at V2:
(V2 − V1)/4 + V2/4 = 0
Solving equations gives:
Final Answer: V2 = 4V
📌 Problem 4 – Mixed KCL & KVL
A 24V source is connected to a loop containing:
4Ω resistor and 8Ω resistor in series.
Find current and power dissipated in 8Ω resistor.
✔ Solution:
Total resistance = 12Ω
I = 24 / 12 = 2A
Power in 8Ω:
P = I²R = (2)² × 8 = 32W
Final Answer: Power = 32W
🎯 Competitive Exam Insight
- ✔ Node voltage reduces equations
- ✔ Multiply LCM early to simplify
- ✔ Always check units (V, A, W)
- ✔ Practice speed + accuracy together
Practice Consistently. Accuracy Brings Rank.
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