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51.	The matrix formed by link branches of a tie set matrix is?(a) Row matrix(b) Column matrix(c) Diagonal matrix(d) Identity matrixThe question was posed to me in an online interview.My doubt is from Link Currents: Tie-Set Matrix in portion Methods of Analyzing Circuits of Network Theory
Answer» Correct CHOICE is (d) Identity matrix For explanation I would say: As the DIRECTION of the BASIC loops of the tree are taken ALONG the direction of the link currents, then the matrix formed by the link currents will be an identity matrix.

52.	For Tie-set matrix, if the direction of current is same as loop current, then we place ______ in the matrix.(a) +1(b) -1(c) 0(d) +1 or -1This question was addressed to me in semester exam.My query is from Link Currents: Tie-Set Matrix topic in portion Methods of Analyzing Circuits of Network Theory
Answer» The correct OPTION is (a) +1 To explain: For Tie-set matrix, if the direction of CURRENT is same as loop current, then we place +1 in the matrix.

53.	Consider the graph shown below. The direction of the loop currents will be? (ACW – Anticlockwise, CW – Clockwise).(a) I1 ACW(b) I2 ACW(c) I3 CW(d) I4 ACWThis question was addressed to me during an online interview.This intriguing question originated from Link Currents: Tie-Set Matrix in section Methods of Analyzing Circuits of Network Theory
Answer» Correct option is (a) I1 ACW To explain: The direction of the LOOP CURRENT will be along the direction of the link current in a basic loop. So I1 – ACW, I2 – CW, I3 – ACW, I4 – CW.

54.	Consider the graph shown below. If a tree of the graph has branches 4, 5, 6, then one of the twigs will be?(a) 1(b) 2(c) 3(d) 4This question was addressed to me in semester exam.I'd like to ask this question from Link Currents: Tie-Set Matrix topic in chapter Methods of Analyzing Circuits of Network Theory
Answer» The correct answer is (d) 4 Explanation: Branches of the TREE are called TWIGS. So 4, 5, 6 are the twigs of the tree. The CURRENT in any branch of a graph can be found by USING LINK currents.

55.	Consider the graph shown below. If a tree of the graph has branches 4, 5, 6, then one of the links will be?(a) 3(b) 4(c) 5(d) 6I had been asked this question in an international level competition.My question comes from Link Currents: Tie-Set Matrix in division Methods of Analyzing Circuits of Network Theory
Answer» The correct answer is (a) 3 Explanation: The BRANCHES of the co-TREE are called LINKS. So the links will be 1, 2, 3. For a GIVEN tree of a graph addition of each link between any two nodes form a loop called fundamental loop.

56.	The loop current direction of the basic loop formed from the tree of the graph is?(a) same as the direction of the branch current(b) opposite to the direction of the link current(c) same as the direction of the link current(d) opposite to the direction of the branch currentI have been asked this question in an interview for internship.Origin of the question is Link Currents: Tie-Set Matrix in division Methods of Analyzing Circuits of Network Theory
Answer» Right answer is (c) same as the direction of the LINK CURRENT To explain: The loop current direction of the BASIC loop formed from the TREE of the graph is same as the direction of the link current.

57.	Tie-set is also called?(a) f loop(b) g loop(c) d loop(d) e loopThe question was posed to me in a national level competition.I'm obligated to ask this question of Link Currents: Tie-Set Matrix topic in division Methods of Analyzing Circuits of Network Theory
Answer» Right answer is (a) f LOOP To explain: The fundamental loop formed by one LINK has a UNIQUE path in the TREE joining the two nodes of the link. This loop is also CALLED f-loop.

58.	The current in a closed path in a loop is called?(a) loop current(b) branch current(c) link current(d) twig currentThe question was posed to me in an international level competition.My question is from Link Currents: Tie-Set Matrix topic in division Methods of Analyzing Circuits of Network Theory
Answer» Right CHOICE is (C) LINK current For explanation I WOULD say: In a LOOP there exists a closed path and a circulating current which is called link current. The current in any branch can be found by using link currents.

59.	If there are 4 branches, 3 nodes then number of links in a co-tree are?(a) 2(b) 4(c) 6(d) 8The question was asked during an interview for a job.Query is from Tree and Co-Tree topic in division Methods of Analyzing Circuits of Network Theory
Answer» The CORRECT OPTION is (a) 2 The best explanation: NUMBER of links = b-n+1. Given number of branches = 4 and number of nodes = 3. On substituting in the equation, number of links in a co-tree = 4 – 3 + 1 = 2.

60.	If a graph consists of 5 nodes, then the number of twigs in the tree is?(a) 1(b) 2(c) 3(d) 4I got this question in my homework.I would like to ask this question from Tree and Co-Tree in division Methods of Analyzing Circuits of Network Theory
Answer» The correct ANSWER is (d) 4 The best I can explain: NUMBER of twigs = N-1. As given number of nodes are 5 then n = 5. On substituting in the equation, number of twigs = 5 -1 = 4.