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A current transformer has a rating of 100/5 A. Its magnetizing and loss components of exciting current are 2 A and 1 A respectively and secondary winding burden is purely resistive, its transformation ratioat rated current is _____   
  • a)
    20    
  • b)
    20.40
  • c)
    20.20    
  • d)
    20.10
Correct answer is option 'C'. Can you explain this answer?
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A current transformer has a rating of 100/5 A. Its magnetizing and los...

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A current transformer has a rating of 100/5 A. Its magnetizing and los...
Magnetizing and loss components of exciting current
In a current transformer, there are two components of the exciting current - the magnetizing component and the loss component.

The magnetizing component of the exciting current is required to establish the magnetic field in the core of the transformer. This current is responsible for magnetizing the core and is in phase with the magnetic flux in the core.

The loss component of the exciting current is caused by the core losses, which include hysteresis and eddy current losses. These losses occur due to the alternating magnetic field in the core.

In this case, the magnetizing component of the exciting current is given as 2 A and the loss component is given as 1 A.

Secondary winding burden
The secondary winding burden refers to the load connected to the secondary winding of the current transformer. In this case, it is mentioned that the burden is purely resistive.

Transformation ratio at rated current
The transformation ratio of a current transformer is the ratio of primary current to secondary current. In this case, the rating of the current transformer is given as 100/5 A, which means that the primary current is 100 A and the secondary current is 5 A.

To calculate the transformation ratio at rated current, we need to consider the total current flowing through the primary winding. This includes both the exciting current and the load current.

Total primary current = Primary current + Exciting current + Loss component of exciting current
Total primary current = 100 A + 2 A + 1 A
Total primary current = 103 A

Transformation ratio = Total primary current / Secondary current
Transformation ratio = 103 A / 5 A
Transformation ratio = 20.6

Therefore, the transformation ratio at rated current is approximately 20.6, which corresponds to option C (20.20).
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A current transformer has a rating of 100/5 A. Its magnetizing and los...
Iw cos@ =1 and R = n +1/5 =20 +1/5.
== 20.2
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