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Select the correct statement....

Select the correct statement.

A

Krichhoff's junction law follows from the conservation of energy.

B

Krichhoff's loop law follows from the conservation of enrgy

C

Krichhoff's junction law follows from the conservation of charge

D

Krichhoff's loop law follows from the conservation of charge.

Text Solution

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The correct Answer is:
To solve the question of selecting the correct statement regarding Kirchhoff's laws, we will analyze each of the statements based on the principles of Kirchhoff's Junction Law and Loop Law. ### Step-by-Step Solution: 1. **Understand Kirchhoff's Junction Law**: - Kirchhoff's Junction Law states that the total current entering a junction must equal the total current leaving the junction. This reflects the principle of conservation of charge. - Mathematically, if \( I_1 \) and \( I_2 \) are currents entering a junction and \( I_3 \) is the current leaving, then: \[ I_1 + I_2 = I_3 \] 2. **Understand Kirchhoff's Loop Law**: - Kirchhoff's Loop Law states that the sum of the electrical potential differences (voltages) around any closed loop in a circuit must equal zero. This reflects the principle of conservation of energy. - Mathematically, if you traverse a loop and sum the voltages, you get: \[ \sum V = 0 \] 3. **Analyze the Statements**: - **Statement A**: "Kirchhoff's Junction Law follows from the Conservation of Energy." - This statement is incorrect. Kirchhoff's Junction Law is based on the conservation of charge, not energy. - **Statement B**: "Kirchhoff's Loop Law follows the conservation of energy." - This statement is correct. Kirchhoff's Loop Law is indeed based on the conservation of energy. - **Statement C**: "Kirchhoff's Junction Law follows from the conservation of charge." - This statement is correct. Kirchhoff's Junction Law is a direct application of the conservation of charge. - **Statement D**: "Kirchhoff's Loop Law follows from the conservation of charge." - This statement is incorrect. Kirchhoff's Loop Law is based on the conservation of energy, not charge. 4. **Conclusion**: - The correct statements are B and C. Therefore, if the question asks for the correct statements, we would select these two. ### Final Answer: - The correct statements are: - B: "Kirchhoff's Loop Law follows the conservation of energy." - C: "Kirchhoff's Junction Law follows from the conservation of charge."
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