A load is connected across the secondary of...

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Question 1 of 205eccefa4bacbc34ba4d480ff

A load is connected across the secondary of the step-up transformer shown in figure "B" of the illustration and the current drawn by the load is 10 amps. If the turns ratio is 1 to 10 and The input voltage is 110 VAC, what will be the current drawn by the primary? Illustration EL-0055

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🔍 Key Concepts

• Step-up transformer behavior: how current changes when voltage is increased and power is (approximately) conserved. • Turns ratio: relationship between primary and secondary voltage and current (N₁:N₂ = V₁:V₂ = I₂:I₁). • Power relationship: for an ideal transformer, V₁ × I₁ ≈ V₂ × I₂.

💭 Think About

• If the turns ratio is 1:10 and the secondary current is 10 A, how should the primary current compare (bigger or smaller) to keep the power roughly the same? • Use the turns ratio formula: if N₁:N₂ = 1:10, what is the ratio between I₂ and I₁, and how do you solve for I₁ when I₂ = 10 A? • Given that it is a step-up transformer (primary has fewer turns, lower voltage), should the current on the primary side be higher or lower than the secondary current? Why?

✅ Before You Answer

• Write the current ratio explicitly: I₁ / I₂ = N₂ / N₁ for an ideal transformer, then plug in N₁ = 1, N₂ = 10. • Double-check that you are using the inverse of the turns ratio for current (voltage and turns go together; current goes opposite). • After you compute I₁, quickly check with power balance: does V₁ × I₁ roughly equal V₂ × I₂ for your chosen answer?

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