Transformer basics — step-up ratio: A step-up transformer has a turns ratio greater than 1 (secondary turns exceed primary turns). Determine whether this statement is correct.

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
Turns ratio is the defining parameter of an ideal transformer. A step-up transformer increases voltage from primary to secondary; correspondingly, the secondary has more turns than the primary, and the turns ratio N_s/N_p is greater than 1. Recognizing this relationship is key in power conversion and signal coupling.


Given Data / Assumptions:

  • Ideal transformer behavior.
  • Step-up means V_s > V_p.
  • Frequency within normal operating range; core not saturating.


Concept / Approach:
For an ideal transformer, V_s/V_p = N_s/N_p. Therefore, V_s > V_p requires N_s/N_p > 1. Current ratio inverts: I_s/I_p = N_p/N_s. This captures conservation of power (ignoring losses): V_p * I_p ≈ V_s * I_s.


Step-by-Step Solution:

Define step-up: secondary voltage exceeds primary.Use relation: V_s/V_p = N_s/N_p.Conclude N_s/N_p > 1 for step-up operation.Confirm current ratio reverses accordingly.


Verification / Alternative check:
Example: N_p = 100 turns, N_s = 500 turns gives N_s/N_p = 5 and V_s = 5 * V_p, which is a clear step-up case.


Why Other Options Are Wrong:

  • Incorrect / autotransformer only / 60 Hz only / laminated steel only: The turns-voltage relation is general and not restricted to a specific construction or frequency (within design limits).


Common Pitfalls:
Confusing turns ratio with current ratio; assuming core material alters the algebraic ratio rather than efficiency and saturation limits.


Final Answer:
Correct

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