QuestionQuestion 6

How the loop rule and junction rule are based on the conservation of energy and charge principle?

Solution

Kirchhoff loop rule (second law) states that “In a closed electrical circuit the algebraic sum of all the electromotive forces and the voltage drops in the resistors of the circuit is zero.”
Mathematically,
ΣΕ = ΣΙR
Here ε is the electromotive force in the circuit, I is the current flowing in the circuit, R is the load resistance.
Hence according to this rule energy supplies by all emf sources = energy consumed by loads

Kirchhoff junction rule (first law) states “the algebraic sum of all the currents flowing toward a junction is equal to the sum of all the currents flowing away from the junction”.
Mathematically
ΣI= 0 => ΣQ/T= 0 => ΣQ = 0
This indicates the law of conservation of charge.  The net charge at the node is zero. Charge neither accumulates nor produced at the junction. Therefore, charge is conserved.
Physics XII (FBISE)

Context

Chapter 3: Electromagnetism

Chapter 4: Electromagnetic induction

Chapter 5: Alternating Current

Chapter 6: Physics of Solids

Chapter 7: Electronics

Chapter 8: Dawn Of the Modern Physics

Chapter 9: Atomic Spectra

Chapter 10: Nuclear Physics

Utopains

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