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Consider the following two statements: ...

Consider the following two statements:
(A)Kirchhoff's junction law follows from conservation of charge.
(B)Kirchhoff's loop law follows from conservative nature of electirc field .

A

Both A and B are wrong

B

A is correct but B is wrong

C

A is wrong but B is correct

D

Both A and B are correct

Text Solution

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The correct Answer is:
To analyze the statements regarding Kirchhoff's laws, we will evaluate each statement one by one. ### Step 1: Evaluate Statement (A) **Statement (A): Kirchhoff's junction law follows from conservation of charge.** Kirchhoff's junction law states that the total current entering a junction must equal the total current leaving the junction. This can be mathematically expressed as: \[ I_{\text{in}} = I_{\text{out}} \] This law is a direct consequence of the conservation of electric charge, which states that charge cannot be created or destroyed in an isolated system. Therefore, the total charge flowing into the junction must equal the total charge flowing out. **Conclusion for Statement (A):** This statement is **true**. ### Step 2: Evaluate Statement (B) **Statement (B): Kirchhoff's loop law follows from the conservative nature of electric field.** Kirchhoff's loop law states that the sum of the potential differences (voltage) around any closed loop in a circuit must equal zero. Mathematically, this can be expressed as: \[ \sum V = 0 \] This law arises from the fact that electric fields are conservative. In a conservative field, the work done moving a charge around a closed path is zero, which means that the potential difference between two points is independent of the path taken. Thus, when you return to your starting point in a closed loop, the total potential change is zero. **Conclusion for Statement (B):** This statement is also **true**. ### Final Conclusion Both statements (A) and (B) are correct. Therefore, the answer is that both statements are true. ---
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