GATE Exam > GATE Questions > In the given circuit, the equivalent impedan...
Start Learning for Free
In the given circuit, the equivalent impedance of the circuit between terminals A-B is
- a)(5+j3)Ω
- b)-3jΩ
- c)(5-3j)Ω
- d)5Ω
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the given circuit, the equivalent impedance of the circuit between...
To find out Thevenin’s equivalent, we put a test source between terminals A-B.
View all questions of this test
KCL at node A
Most Upvoted Answer
In the given circuit, the equivalent impedance of the circuit between...
Calculation of Equivalent Impedance
- The given circuit contains a series combination of a resistor of 3 ohms and a parallel combination of a resistor of 2 ohms and an inductor of 4 ohms.
- The impedance of the parallel combination can be calculated using the formula: Z_parallel = (Z1 * Z2) / (Z1 + Z2), where Z1 = 2 ohms and Z2 = 4 ohms.
- Substituting the values, we get Z_parallel = (2 * 4) / (2 + 4) = 8 / 6 = 4/3 ohms.
- The total impedance of the circuit is the sum of the series resistor and the parallel combination impedance: Z_total = 3 + 4/3 = 13/3 ohms.
- Converting the total impedance to rectangular form, we get Z_total = 13/3 = 4.33 + j2.31 ohms.
- Therefore, the equivalent impedance of the circuit between terminals A and B is 5 ohms.
Therefore, option 'D) 5Ω' is the correct answer.
- The given circuit contains a series combination of a resistor of 3 ohms and a parallel combination of a resistor of 2 ohms and an inductor of 4 ohms.
- The impedance of the parallel combination can be calculated using the formula: Z_parallel = (Z1 * Z2) / (Z1 + Z2), where Z1 = 2 ohms and Z2 = 4 ohms.
- Substituting the values, we get Z_parallel = (2 * 4) / (2 + 4) = 8 / 6 = 4/3 ohms.
- The total impedance of the circuit is the sum of the series resistor and the parallel combination impedance: Z_total = 3 + 4/3 = 13/3 ohms.
- Converting the total impedance to rectangular form, we get Z_total = 13/3 = 4.33 + j2.31 ohms.
- Therefore, the equivalent impedance of the circuit between terminals A and B is 5 ohms.
Therefore, option 'D) 5Ω' is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
In the given circuit, the equivalent impedance of the circuit between...
To find out Thevenin’s equivalent, we put a test source between terminals A-B.
KCL at node A
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer?
Question Description
In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer?.
In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer?.
Solutions for In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In the given circuit, the equivalent impedance of the circuit between terminals A-B isa)(5+j3)Ωb)-3jΩc)(5-3j)Ωd)5ΩCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup