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) :

The correct answer is Option 1. Full mathematical solution steps and hints are accessible in the interactive StemCET workspace.

Physics Q5 – NEET-UG 2024

← Back

Home Physics EM InductionQuestion #152

In an ideal transformer, the turns ratio is

\frac{N_{p}}{N_{s}} = \frac{1}{2}

. The ratio

V_{s} : V_{p}

is equal to (the symbols carry their usual meaning) :

Clue 1 of 3: Ideal Transformer Principle

In an ideal transformer, there is no energy loss, and the power in the primary coil equals the power in the secondary coil.

🧠 Full Solution Path

Step 1: Recall the Ideal Transformer Equation✦ Active

For an ideal transformer, the ratio of the secondary voltage ( $V_{s}$ ) to the primary voltage ( $V_{p}$ ) is directly proportional to the ratio of the number of turns in the secondary coil ( $N_{s}$ ) to the number of turns in the primary coil ( $N_{p}$ ). The relationship is:

\frac{V_{s}}{V_{p}} = \frac{N_{s}}{N_{p}}

💡 Teacher's Secret Hint

Remember that for an ideal transformer, power input equals power output, $V_{p} I_{p} = V_{s} I_{s}$ , which also leads to the voltage-turns ratio.

Step 2: Use the Given Turns Ratio○ Expand

The problem states that the turns ratio $\frac{N_{p}}{N_{s}} = \frac{1}{2}$ . To use this in the voltage ratio equation, we need to find the inverse ratio $\frac{N_{s}}{N_{p}}$ .

\frac{N_{s}}{N_{p}} = \frac{2}{1}

Step 3: Calculate the Voltage Ratio○ Expand

Substitute the value of $\frac{N_{s}}{N_{p}}$ into the ideal transformer equation:

\frac{V_{s}}{V_{p}} = \frac{2}{1}

Therefore, the ratio $V_{s} : V_{p}$ is $2 : 1$ .

💡 Teacher's Secret Hint

Pay attention to the order of the ratio requested ( $V_{s} : V_{p}$ vs $V_{p} : V_{s}$ ). A common mistake is to use the inverse ratio.

✦ STEM Console utilizes AI models to generate step-by-step explanations and math clues. AI can make mistakes.

Physics Question 5 – NEET-UG 2024

Clue 1 of 3: Ideal Transformer Principle

🧠 Full Solution Path