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The self-inductance of the primary winding of a single phase 50 Hz transformer is 800 mH and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the windings is less than their respective rated currents. The resistances of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?
  • a)
    416
  • b)
    440
  • c)
    200
  • d)
    920
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The self-inductance of the primary winding of a single phase 50 Hz tr...
Given:
- Self-inductance of primary winding (L1) = 800 mH
- Self-inductance of secondary winding (L2) = 600 mH
- Mutual inductance (M) = 480 mH

To Find:
Effective inductance seen by the source.

Solution:
When the secondary winding is short-circuited, the primary winding behaves as if it is connected to an inductor of effective inductance (Leff).
The effective inductance (Leff) is given by the formula:

Leff = L1 - 2M + L2

Substituting the given values:

Leff = 800 mH - 2(480 mH) + 600 mH
Leff = 800 mH - 960 mH + 600 mH
Leff = 440 mH

Therefore, the effective inductance seen by the source is 440 mH (option B).
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Community Answer
The self-inductance of the primary winding of a single phase 50 Hz tr...
Consider the transformer circuit shown below.
For the circuit, we have
Zin = input impedance as seen by source
or
By neglecting resistances R1 and R2, we get
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The self-inductance of the primary winding of a single phase 50 Hz transformer is 800 mH and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the windings is less than their respective rated currents. The resistances of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?a)416b)440c)200d)920Correct answer is option 'A'. Can you explain this answer?
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The self-inductance of the primary winding of a single phase 50 Hz transformer is 800 mH and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the windings is less than their respective rated currents. The resistances of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?a)416b)440c)200d)920Correct answer is option 'A'. 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 self-inductance of the primary winding of a single phase 50 Hz transformer is 800 mH and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the windings is less than their respective rated currents. The resistances of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?a)416b)440c)200d)920Correct answer is option 'A'. 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 self-inductance of the primary winding of a single phase 50 Hz transformer is 800 mH and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the windings is less than their respective rated currents. The resistances of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?a)416b)440c)200d)920Correct answer is option 'A'. Can you explain this answer?.
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