Question

Consider the following two statements. (A) Kirchhoff's junction law follows from the conservation of charge. (B) Kirchhoff's loop law follows from the conservation of energy. Which of the following is correct?

• A. Both (A) and (B) are wrong
• B. (A) is correct and (B) is wrong
• C. (A) is wrong and (B) is correct
• D. Both (A) and (B) are correct

Answer 1

The Correct Option is D

 To determine the correctness of the given statements (A) and (B) regarding Kirchhoff's laws, let's examine each statement:

• Statement (A): Kirchhoff's junction law follows from the conservation of charge.
  • Kirchhoff's junction law, also known as Kirchhoff's current law (KCL), states that the sum of currents entering a junction equals the sum of currents leaving the junction. Mathematically, it is expressed as \(\sum I_{\text{in}} = \sum I_{\text{out}}\).
  • This law is based on the conservation of charge, as it implies that charge cannot accumulate at a junction; the charge entering is equal to the charge leaving. Therefore, Statement (A) is correct.
• Statement (B): Kirchhoff's loop law follows from the conservation of energy.
  • Kirchhoff's loop law, also known as Kirchhoff's voltage law (KVL), states that the sum of the electromotive forces (emf) and potential differences (voltages) around any closed loop in a circuit is zero. Mathematically, it is expressed as \(\sum V = 0\).
  • This law is based on the conservation of energy, as it implies that the total energy gained in moving around a closed loop must equal the total energy lost. Therefore, Statement (B) is also correct.
• Since both statements are correct, the correct answer is: Both (A) and (B) are correct.