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The primary winding of a transformer has 500 turns whereas its secondary has 5000 turns. Theprimary is connected to an A.C. supply of 20 V,50 Hz. The secondary will have an output of        [1997]
  • a)
    2 V, 5 Hz
  • b)
    200 V, 500 Hz
  • c)
    2V, 50 Hz
  • d)
    200 V, 50 Hz
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The primary winding of a transformer has 500 turns whereas its seconda...
The transformer converts A.C. high voltage
into A.C. low voltage, but it does not cause
any change in frequency. The formula for
voltage is
Thus, output has voltage 200 V and
frequency 50 Hz.
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Most Upvoted Answer
The primary winding of a transformer has 500 turns whereas its seconda...
Given data:
Primary winding turns (N1) = 500
Secondary winding turns (N2) = 5000
Primary voltage (V1) = 20 V
Frequency (f) = 50 Hz

To determine the output voltage and frequency of the secondary winding, we need to understand the concept of transformer turns ratio and the relationship between voltage and turns.

1. Transformer Turns Ratio:
The turns ratio of a transformer is defined as the ratio of the number of turns in the primary winding to the number of turns in the secondary winding. It is denoted by 'a' and can be calculated as:
a = N2/N1

In this case, the turns ratio (a) is given by:
a = 5000/500
a = 10

2. Voltage and Turns Relationship:
The voltage across the primary and secondary windings of a transformer are related by the turns ratio. Mathematically, it can be expressed as:
V2/V1 = N2/N1

Applying the given values, we have:
V2/20 = 5000/500
V2 = 20 * (5000/500)
V2 = 200 V

3. Frequency Relationship:
The frequency of the output voltage remains the same as the input frequency. Therefore, the frequency of the secondary winding is also 50 Hz.

Hence, the correct answer is option D: 200 V, 50 Hz.
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