Question

The Kirchhoff's current law and voltage law are respectively based upon the conservation of

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

Hint:

An easy mnemonic to link these rules forever: Current goes with Charge (both start with 'C'), while Voltage goes with Energy (as voltage is defined as work/energy per unit charge). Keeping this simple keyword pairing in mind ensures you never mix them up!

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
The question asks us to identify the fundamental physical conservation laws that underpin Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL) respectively.

Step 2: Key Formula or Approach:
Recall the definitions of both circuit laws: Kirchhoff's Current Law (KCL Junction Rule): States that the total current entering any junction must exactly equal the total current leaving that junction ($\sum I = 0$). Current is the rate of flow of electric charge. Kirchhoff's Voltage Law (KVL Loop Rule): States that the algebraic sum of all electromotive forces (emfs) and potential drops around any closed loop circuit must equal zero ($\sum V = 0$). Voltage represents electrical potential energy per unit charge.

Step 3: Detailed Explanation:
Let's analyze the conservation mechanisms: 1. Kirchhoff's Current Law: Since electric charge cannot be created or destroyed at a single node point within a steady circuit branch, any charge flowing into a junction must flow out. Therefore, KCL is a direct manifestation of the Law of Conservation of Charge. 2. Kirchhoff's Voltage Law: When an electric charge moves completely around a closed circuit loop and returns to its starting point, it experiences various potential rises (batteries) and drops (resistors). Because the electric field is conservative, the net work done on a unit charge around any closed loop must be zero. Therefore, KVL is a direct manifestation of the Law of Conservation of Energy. Matching these keys in order gives: Charge and Energy.

Step 4: Final Answer:
The principles are based on the conservation of charge and energy respectively, which corresponds to option (A).