📘 GATE Electrical – Network Theory Part 1 KCL, KVL & Important PYQs (Solved)
Focus of This Part:
✔ Kirchhoff’s Current Law (KCL)
✔ Kirchhoff’s Voltage Law (KVL)
✔ GATE Previous Year Questions with Detailed Solutions
🔹 1️⃣ Kirchhoff’s Current Law (KCL)
Statement:
At any node in an electrical circuit, the algebraic sum of currents is zero.
Mathematical Form: Σ Iincoming = Σ Ioutgoing
Mathematical Form: Σ Iincoming = Σ Ioutgoing
📌 PYQ 1 – Based on KCL
Question:
At a node, three currents enter: 2A, 4A, and 6A.
If two currents leave (5A and 3A), find the unknown outgoing current.
✔ Solution:
Using KCL:
Incoming current = 2 + 4 + 6 = 12A Known outgoing current = 5 + 3 = 8A
Unknown outgoing current = 12 − 8 = 4A
Final Answer: 4A
🔹 2️⃣ Kirchhoff’s Voltage Law (KVL)
Statement:
In any closed loop, the algebraic sum of voltages is zero.
Mathematical Form: Σ V = 0
Mathematical Form: Σ V = 0
📌 PYQ 2 – Based on KVL
Question:
A closed loop contains a 10V source and two voltage drops of 4V and 3V.
Find the remaining voltage drop.
✔ Solution:
Applying KVL:
10V − 4V − 3V − V = 0
10 − 7 − V = 0 3 − V = 0 V = 3V
Final Answer: 3V
🎯 Shortcut Tips for GATE
- ✔ At node → Think KCL
- ✔ At loop → Think KVL
- ✔ Always assume current directions clearly
- ✔ Sign mistakes cause maximum errors
🚀 Next Part:
Network Theorems – Superposition, Thevenin & Norton (With GATE PYQs)
Master the Basics. Rank Will Follow.
.png)
No comments:
Post a Comment