Physics Electromagnetic Induction DUHS 2023
PMDC Verified Question 30 of 69
If a transformer has \( 500 \) turns on primary coil and \( 250 \) turns on secondary coil, then
A
Output voltage is half of input voltage
B
Output and input voltages are equal
C
Output voltage is double of input voltage
D
Output voltage is zero
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Output voltage is half of input voltage
Concept:

The voltage ratio perfectly mirrors the turns ratio in an ideal transformer.

Formula:

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

Solution:

  • Given: Primary turns \( N_p = 500 \), Secondary turns \( N_s = 250 \).


  • Calculate the ratio: \( \frac{V_s}{V_p} = \frac{250}{500} = \frac{1}{2} \).


  • Therefore, \( V_s = \frac{1}{2} V_p \), meaning the output voltage is half of the input voltage (a step-down transformer).


Why other options are incorrect:

The output would only be double if the secondary had twice the turns of the primary. Equal voltage requires equal turns.

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