Kirchhoff's current law is consequence of

Options

A. conservation of momentum
B. conservation of charge
C. conservation of mass
D. conservation of energy

Explanation

To solve the question regarding Kirchhoff's current law and its consequences, we can break down the reasoning step by step.

### Step-by-Step Solution:

1. **Understanding Kirchhoff's Current Law (KCL)**:
- Kirchhoff's Current Law states that the total current entering a junction (or node) in an electrical circuit is equal to the total current leaving that junction. This can be mathematically expressed as:
\[ \sum I_{\text{in}} = \sum I_{\text{out}} \]
- This means that the current flowing into a point must equal the current flowing out of that point.

2. **Identifying the Nature of Current**:
- Current is defined as the flow of electric charge. Therefore, when we talk about current at a junction, we are essentially discussing the flow of charges into and out of that junction.

3. **Relating KCL to Conservation Principles**:
- The principle behind KCL is related to the conservation of charge. This means that charge cannot be created or destroyed in an isolated system. Thus, the amount of charge flowing into the junction must equal the amount flowing out.

4. **Evaluating the Options**:
- Now, let's evaluate the options given in the question:
- Option 1: Conservation of momentum - This is not related to electrical circuits.
- Option 2: Conservation of charges - This directly relates to KCL as explained above.
- Option 3: Conservation of mass - This is not applicable in the context of electric current.
- Option 4: Conservation of energy - While energy conservation is important in circuits, it does not specifically explain KCL.

5. **Conclusion**:
- Based on the analysis, the correct answer is **Option 2: Conservation of charges**. Kirchhoff's current law is a consequence of the principle that charge is conserved in an electrical circuit.