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.

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:

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