KCL is based on the fact that
Answer & step-by-step solution
KCL follows from conservation of electric charge. In the lumped-circuit model, charge does not accumulate indefinitely at an ideal node, so the algebraic sum of currents entering and leaving the node is zero.
Concept & Reasoning
Kirchhoff's Current Law is the circuit form of charge conservation. If net current flowed continuously into an ideal node, charge would accumulate and its potential would change without bound. In lumped network analysis the node has negligible storage volume, so the net rate of charge accumulation is zero and the sum of incoming currents equals the sum of outgoing currents. More generally, continuity gives Σi = -dq/dt; KCL is the dq/dt ≈ 0 lumped-node case.
How to Solve It in the Exam
KCL = conservation of charge.
Important Exam Point
Use an algebraic sign convention: all entering positive or all leaving positive.
Quick Trick
KCL = conservation of charge.
Common Mistake
Do not confuse KCL with energy conservation; KVL is more closely linked to electric-field/energy considerations.
KCL इस तथ्य पर आधारित है कि
उत्तर और चरणबद्ध हल
B — नोड पर आवेश संचय नहीं हो सकता। KCL आवेश संरक्षण से आता है; लम्पड-परिपथ मॉडल में आदर्श नोड पर आवेश जमा नहीं होता, इसलिए नोड में आने-जाने वाली धाराओं का बीजीय योग शून्य है।
विस्तृत हल (मूल भाषा में)
Concept & Reasoning
Kirchhoff's Current Law is the circuit form of charge conservation. If net current flowed continuously into an ideal node, charge would accumulate and its potential would change without bound. In lumped network analysis the node has negligible storage volume, so the net rate of charge accumulation is zero and the sum of incoming currents equals the sum of outgoing currents. More generally, continuity gives Σi = -dq/dt; KCL is the dq/dt ≈ 0 lumped-node case.
How to Solve It in the Exam
KCL = conservation of charge.
Important Exam Point
Use an algebraic sign convention: all entering positive or all leaving positive.
Quick Trick
KCL = conservation of charge.
Common Mistake
Do not confuse KCL with energy conservation; KVL is more closely linked to electric-field/energy considerations.
KCL એ હકીકત પર આધારિત છે કે
જવાબ અને પગલાવાર ઉકેલ
B — નોડ પર વિદ્યુતભારનો સંચય થઈ શકતો નથી. KCL વિદ્યુતભાર સંરક્ષણમાંથી આવે છે; લમ્પ્ડ-પરિપથ મોડેલમાં આદર્શ નોડ પર વિદ્યુતભાર એકઠો થતો નથી, તેથી નોડમાં આવતા-જતા પ્રવાહોનો બૈજિક સરવાળો શૂન્ય છે.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Concept & Reasoning
Kirchhoff's Current Law is the circuit form of charge conservation. If net current flowed continuously into an ideal node, charge would accumulate and its potential would change without bound. In lumped network analysis the node has negligible storage volume, so the net rate of charge accumulation is zero and the sum of incoming currents equals the sum of outgoing currents. More generally, continuity gives Σi = -dq/dt; KCL is the dq/dt ≈ 0 lumped-node case.
How to Solve It in the Exam
KCL = conservation of charge.
Important Exam Point
Use an algebraic sign convention: all entering positive or all leaving positive.
Quick Trick
KCL = conservation of charge.
Common Mistake
Do not confuse KCL with energy conservation; KVL is more closely linked to electric-field/energy considerations.
More Kirchhoff's Laws questions