Physics Electromagnetic Induction SZABMU 2024
PMDC Verified Question 2 of 69
The turns ratio of a step-up transformer is 5. A current of \( 20 \text{ A} \) is passed through its primary coil at \( 220 \text{ V} \). Calculate the value of voltage in secondary coil?
A
1000 V
B
1025 V
C
1050 V
D
1100 V
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Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: 1100 V
Concept:

In an ideal transformer, the ratio of the secondary voltage to the primary voltage is exactly equal to the turns ratio.

Formula:

$$ \frac{V_s}{V_p} = \frac{N_s}{N_p} $$

Solution:

  • Given: Turns ratio for a step-up transformer is \( \frac{N_s}{N_p} = 5 \).


  • Primary voltage \( V_p = 220 \text{ V} \). (Note: The primary current of 20 A is extra information not needed for finding the voltage).


  • Rearrange to solve for secondary voltage:

    $$ V_s = V_p \times \left( \frac{N_s}{N_p} \right) $$


  • Substitute values:

    $$ V_s = 220 \times 5 = 1100 \text{ V} $$


Why other options are incorrect:

Options A, B, and C are arithmetic errors or misapplications of the given constants. The calculation \( 220 \times 5 \) cleanly yields 1100.

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