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The total inductance of two coupled coils in the ‘series aiding’ and ‘series opposing’ connections are 1.4 × 10-3 Henry and 0.6 × 10-3 Henry, respectively. The value of mutual inductance will be:
  • a)
    0.8 × 10-3 Henry
  • b)
    10-3 Henry
  • c)
    0.2 × 10-3 Henry
  • d)
    0.5 × 10-3 Henry
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The total inductance of two coupled coils in the ‘series aiding&...
Concept: 
The equivalent inductance of two inductors in a series connection can be calculated as
For mutual aiding (when polarity dots are present at the same ends)
Leq = L1 + L2 + 2M
For mutual opposing (when polarity dots are present at the opposite ends)
Leq = L1 + L2 − 2M
Calculation:
For series aiding, the equivalent inductance is 1.4 mH, i.e.
1.4 mH = L+ L2 + 2M   ---(1)
For series opposing, the equivalent inductance is 0.6 mH, i.e.
0.6 mH = L1 + L2 − 2M   ---(2)
Subtracting the two equations, we get:
1.4 mH - 0.6 mH = 4 M
4 M = 0.8 mH
M = 0.2 mH = 0.2 × 10-3 Henry
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The total inductance of two coupled coils in the ‘series aiding’ and ‘series opposing’ connections are 1.4 × 10-3 Henry and 0.6 × 10-3 Henry, respectively. The value of mutual inductance will be:a)0.8 × 10-3 Henryb)10-3 Henryc)0.2 × 10-3 Henryd)0.5 × 10-3 HenryCorrect answer is option 'C'. Can you explain this answer?
Question Description
The total inductance of two coupled coils in the ‘series aiding’ and ‘series opposing’ connections are 1.4 × 10-3 Henry and 0.6 × 10-3 Henry, respectively. The value of mutual inductance will be:a)0.8 × 10-3 Henryb)10-3 Henryc)0.2 × 10-3 Henryd)0.5 × 10-3 HenryCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The total inductance of two coupled coils in the ‘series aiding’ and ‘series opposing’ connections are 1.4 × 10-3 Henry and 0.6 × 10-3 Henry, respectively. The value of mutual inductance will be:a)0.8 × 10-3 Henryb)10-3 Henryc)0.2 × 10-3 Henryd)0.5 × 10-3 HenryCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total inductance of two coupled coils in the ‘series aiding’ and ‘series opposing’ connections are 1.4 × 10-3 Henry and 0.6 × 10-3 Henry, respectively. The value of mutual inductance will be:a)0.8 × 10-3 Henryb)10-3 Henryc)0.2 × 10-3 Henryd)0.5 × 10-3 HenryCorrect answer is option 'C'. Can you explain this answer?.
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