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Which of the following is the correct mathematical relationship that connects primary and secondary parameters of a transformer?
- a)(V2 / V1) = (N1 / N2) = (I1 / I2) = k
- b)(V2 / V1) = (N2 / N1) = (I2 / I1) = k
- c)(V2 / V1) = (N2 / N1) = (I1 / I2) = k
- d)(V2 / V1) = (N1 / N2) = (I2 / I1) = k
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following is the correct mathematical relationship that c...
Concept:
Consider a two winding single phase transformer as shown below,
N1 = primary winding turns
N2 = secondary winding turns
V1 = primary winding voltage
V2 = secondary winding voltage
I1 = current through the primary winding
I2 = current through the secondary winding
Transformation ratio: It is defined as the ratio of the secondary voltage to the primary voltage. It is denoted by k.
Most Upvoted Answer
Which of the following is the correct mathematical relationship that c...
Mathematical Relationship between Primary and Secondary Parameters of a Transformer
Transformer parameters are interconnected through a set of equations that relate primary and secondary values. The correct mathematical relationship is expressed as:
(V2 / V1) = (N2 / N1) = (I1 / I2) = k
Explanation:
- V2 / V1: Ratio of secondary voltage to primary voltage remains constant and is equal to the turns ratio of the transformer.
- N2 / N1: Ratio of secondary turns to primary turns is constant, indicating the turns ratio.
- I1 / I2: Ratio of primary current to secondary current is also constant and is inversely proportional to the turns ratio.
- k: Represents the transformation ratio, which remains constant for a given transformer.
This relationship is crucial in understanding the behavior of transformers and is utilized in various calculations and applications in electrical engineering. It helps in determining the voltage, current, and turns ratio between primary and secondary sides of the transformer, enabling efficient power transfer and voltage transformations.
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