In list-I, four sets of current I in a branch and potential difference V AB between junctions A and B are given, each of which may correspond to one or more circuits given in list-II. List - I List

Question

In list-I, four sets of current I in a branch and potential difference $V_{AB}$ between junctions A and B are given, each of which may correspond to one or more circuits given in list-II.

List - I	List - II
(I) $I = 1 A, V_{AB} = 0$	(P)
(II) $I = 0, V_{AB} = 1 V$	(Q)
(III) $I = 2 A, V_{AB} = 2 V$	(R)
(IV) $I = 0, V_{AB} = 2 V$	(S)
	(T)

TestHub · Accepted Answer

Circuit P: the branch through A and B is part of no closed loop, so I = 0; KVL around the loops gives $V_{A B} = 1$ V - (II) → P.

Circuits Q and S: solving the loop equations gives I = 1 A with $V_{A B} = 0$ - (I) → Q, S.

Circuit R: solving the loop equations gives I = 0 with $V_{A B} = 2$ V - (IV) → R.

Circuit T: by symmetry the cross branches carry no current, so $I = \frac{6}{3} = 2$ A and $V_{A B} = 2$ V - (III) → T. Option (A).

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