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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) 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 correct
B
Both (A) and (B) are wrong
C
(A) is correct and (B) is wrong
D
(A) is wrong and (B) is correct
Detailed Solution
Junction law: the sum of currents entering a junction equals the sum of currents leaving it. Charge cannot accumulate at a junction, so the charge arriving per second equals the charge leaving per second. This is conservation of charge, so (A) is correct.
Loop law: the algebraic sum of the changes in potential around any closed loop is zero. A charge taken round a closed loop returns to the same potential, so the energy it gains from the sources equals the energy it loses in the resistors. This is conservation of energy, so (B) is correct.
Hence both (A) and (B) are correct.
Loop law: the algebraic sum of the changes in potential around any closed loop is zero. A charge taken round a closed loop returns to the same potential, so the energy it gains from the sources equals the energy it loses in the resistors. This is conservation of energy, so (B) is correct.
Hence both (A) and (B) are correct.