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In a step-down transformer, the number of turns in the secondary coil is 20 and the number of turns in the primary coil is 100. If the voltage applied to the primary coil is 120 V, then what is the voltage output from the secondary coil?
  • a)
    24 V
  • b)
    12 V
  • c)
    6 V
  • d)
    18 V
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a step-down transformer, the number of turns in the secondary coil ...
Given: Ns = 20; Np = 100; Vp = 120 V
For a step-down transformer → Ns/Np = Vs/Vp

Vs = 24 V
Therefore, the voltage output from the secondary coil is 24 V.
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Community Answer
In a step-down transformer, the number of turns in the secondary coil ...
Given data:
Number of turns in the secondary coil (N2) = 20
Number of turns in the primary coil (N1) = 100
Voltage applied to the primary coil (V1) = 120 V

Step 1: Determine the turns ratio
The turns ratio (TR) of a transformer is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. It is given by the formula:

TR = N2/N1

In this case, the turns ratio is:

TR = 20/100 = 1/5

Step 2: Determine the voltage ratio
The voltage ratio (VR) of a transformer is the ratio of the output voltage to the input voltage. It is equal to the turns ratio. Therefore:

VR = TR = 1/5

Step 3: Calculate the voltage output
The voltage output from the secondary coil (V2) can be determined using the voltage ratio. It is given by the formula:

V2 = VR * V1

Substituting the values:

V2 = (1/5) * 120 = 24 V

Therefore, the voltage output from the secondary coil is 24 V.

Explanation:
A step-down transformer is designed to reduce the voltage from the primary coil to the secondary coil. The turns ratio and voltage ratio of a transformer determine how the input voltage is transformed into the output voltage. In this case, the turns ratio is 1/5, which means that for every 5 turns in the primary coil, there is 1 turn in the secondary coil. The voltage ratio is also 1/5, which means that for every 1 V input voltage, there is 1/5 V output voltage. Therefore, when a voltage of 120 V is applied to the primary coil, the voltage output from the secondary coil is 24 V. This is consistent with the step-down nature of the transformer, where the output voltage is lower than the input voltage.
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