Math Problem Statement

For a transformer with primary turns 600, secondary turns 200, if 20A current is flowing through primary, we will get ___________ 1. 600A at secondary 2. 60A at secondary 3. 40A at secondary 4. 5A at secondary

Solution

To solve this problem, we use the current transformation rule for transformers:

IpIs=NsNp\frac{I_p}{I_s} = \frac{N_s}{N_p}

Where:

  • IpI_p: Primary current = 20A20 \, \text{A}
  • IsI_s: Secondary current (to be calculated)
  • NpN_p: Number of primary turns = 600600
  • NsN_s: Number of secondary turns = 200200

Rearranging the formula to find IsI_s: Is=IpNpNsI_s = I_p \cdot \frac{N_p}{N_s}

Substituting the values: Is=20600200I_s = 20 \cdot \frac{600}{200} Is=203=60AI_s = 20 \cdot 3 = 60 \, \text{A}

Thus, the correct answer is:

2. 60A at secondary


Would you like me to explain this in further detail or clarify any concept?

5 Related Questions:

  1. What is the relation between voltage and turns ratio in transformers?
  2. How is power conserved in an ideal transformer?
  3. What would happen if the secondary current exceeds its rated value?
  4. How is the efficiency of a transformer calculated?
  5. What are the main losses in a transformer?

Tip:

The primary-to-secondary current ratio is inversely proportional to the turns ratio in a transformer!

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Math Problem Analysis

Mathematical Concepts

Transformer theory
Current and turns ratio relationship
Basic algebra

Formulas

Ip / Is = Ns / Np
Is = Ip * (Np / Ns)

Theorems

Current transformation rule in transformers

Suitable Grade Level

Grades 11-12