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Q.26 Physics · Section A ⭐ 360° Option Elimination Active
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NEET 2024 Physics Question 26 Solution

Topic: Alternating Current · Official NTA Booklet Code T1
NEET 2024 Physics Question 26: Turns Ratio and Voltage Transformation in an Ideal Transformer

Question

In an ideal transformer, the turns ratio is Nₚ/Nₛ = 1/2. The ratio Vₛ : Vₚ is equal to (the symbols carry their usual meaning):

✓
Verified Against NTA Final Answer Key
Option (4) : 2 : 1
📚 Alternating Current Easy
📋 Given Parameters & Problem Setup
Transformer Type Ideal transformer (100% efficiency, zero flux leakage)
Turns Ratio (N_p / N_s) 1 / 2
⚡

The 30-Second Exam Hall Shortcut: ⚡ Transformer Voltage Ratio Rule

⏱️ Save ~30 seconds

V_s / V_p = N_s / N_p = (N_p / N_s)⁻¹ = (1/2)⁻¹ = 2 / 1 = 2 : 1!

1 Transformer transformation ratio: V_s / V_p = N_s / N_p.
2 Given N_p / N_s = 1 / 2, so N_s / N_p = 2 / 1.
3 Therefore, V_s : V_p = 2 : 1.
4 Option (4) in 2 seconds!
🛡️
Why You Can 100% Trust This Shortcut: Faraday’s Law Applied to Transformers (Induced EMF is directly proportional to number of turns: V_s/V_p = N_s/N_p).
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Transformer Equation of Induction

In an ideal transformer with negligible winding resistance and zero magnetic flux leakage, the same alternating magnetic flux Φ passes through each turn of both the primary and secondary coils. By Faraday’s law of electromagnetic induction:

Vp=−NpdΦdt,Vs=−NsdΦdtV_p = -N_p \frac{d\Phi}{dt}, \quad V_s = -N_s \frac{d\Phi}{dt}
Step 2

Voltage Ratio Formulation

Dividing the secondary voltage equation by the primary voltage equation gives the fundamental voltage transformation ratio:

VsVp=NsNp\frac{V_s}{V_p} = \frac{N_s}{N_p}
Step 3

Substitution of Given Turns Ratio

We are given that N_p / N_s = 1 / 2. Inverting gives N_s / N_p = 2 / 1:

VsVp=1Np/Ns=11/2=21  ⟹  Vs:Vp=2:1\frac{V_s}{V_p} = \frac{1}{N_p / N_s} = \frac{1}{1/2} = \frac{2}{1} \implies V_s : V_p = 2 : 1
⭐

360° Option Elimination Engine Key Feature

Diagnose every choice: Know exactly why the right option works and why distractors fail.

4-Option Deep Scan
1 (1)
✗ Incorrect
Verdict & Scientific Reason:

Applies only if N_p = N_s (isolation transformer).

⚠️
Student Fallacy (Why candidates pick this trap): Assuming voltage is invariant across primary and secondary.
2 (2)
✗ Incorrect
Verdict & Scientific Reason:

Incorrectly squares the turns ratio.

⚠️
Student Fallacy (Why candidates pick this trap): Confusing voltage ratio with impedance ratio (Z_s/Z_p = (N_s/N_p)²).
3 (3)
✗ Incorrect
Verdict & Scientific Reason:

Represents V_p : V_s instead of the asked V_s : V_p.

⚠️
Student Fallacy (Why candidates pick this trap): Inverting the ratio order requested in the prompt.
4 (4)
✓ 100% Correct
Verdict & Scientific Reason:

Exact ratio: V_s / V_p = N_s / N_p = 2 / 1.

💡
Why this is airtight: None.
⚠️

NTA Trap Alert: Order of Ratio Inversion (V_p : V_s vs V_s : V_p)

The question gives N_p / N_s = 1/2, but asks for V_s : V_p. Over 25% of students hurriedly pick 1 : 2.

🛡️ How to avoid the -1 mark: Always underline the order requested: "V_s : V_p" means Secondary first, Primary second!
📖

Core NEET Syllabus Standard

Physics Core Electrodynamics · Alternating Current Standard Benchmark
Core Scientific Principle Tested:

"Voltage ratio is directly equal to the turns ratio: V_s / V_p = N_s / N_p."

Syllabus Focus: Transformers and Step-Up/Step-Down Principles
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
More turns, more volts: Secondary has double turns, so it gets double volts (2:1)!

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⚖️ Legal & Fair Dealing Notice: Sourced from publicly released NEET 2024 question papers and NEET answer keys for private study, research, and non-commercial educational practice under Fair Dealing (Section 52(1)(a) of the Indian Copyright Act, 1957). Not affiliated with or endorsed by NTA or NMC.

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