Question

Kirchhoff's voltage law and current law are based (respectively) on the conservation of

• A. momentum, charge
• B. energy, charge
• C. charge, momentum
• D. charge, energy

Hint:

Current is flow of charge; Voltage is energy per unit charge.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question asks for the fundamental conservation principles underlying Kirchhoff's laws.

Step 2: Detailed Explanation:
1. Kirchhoff's Current Law (KCL): It states that the sum of currents entering a junction equals the sum of currents leaving. Since current is the rate of flow of charge, this is a direct consequence of the Conservation of Charge (charge cannot be created or destroyed at a node).
2. Kirchhoff's Voltage Law (KVL): It states that the algebraic sum of potential differences in any closed loop is zero. Since potential is work done per unit charge, this implies that the total energy gained by a unit charge from sources equals the energy dissipated in circuit elements. This is a direct consequence of the Conservation of Energy.
The question asks for Voltage law first, then Current law. So the sequence is Energy, then Charge.

Step 4: Final Answer:
They are based on conservation of energy and charge respectively.