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Assertion : Step-down transformer can al...

Assertion : Step-down transformer can also be used as step-up transformer.
Reason: Ratio of voltage across primary and secondary coils is the same as ratio of respective number of turns.

A

If both assertion and reason are correct and reason is a correct explanation of the assertion

B

If both assertion and reason are correct but reason is not the correct explanation of assertion

C

If assertion is correct but reason is incorrect

D

If assertion is inncorrect but reason is correct

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and reason provided: **Assertion:** A step-down transformer can also be used as a step-up transformer. **Reason:** The ratio of voltage across primary and secondary coils is the same as the ratio of respective number of turns. ### Step-by-Step Solution: 1. **Understanding Transformers:** - A transformer consists of two coils: the primary coil (input) and the secondary coil (output). - The number of turns in the primary coil is denoted as \( N_1 \) and in the secondary coil as \( N_2 \). 2. **Step-Down Transformer:** - A step-down transformer has more turns in the primary coil than in the secondary coil, i.e., \( N_1 > N_2 \). - This means it reduces the voltage from the primary to the secondary coil. The relationship between the voltages and turns is given by: \[ \frac{V_{input}}{V_{output}} = \frac{N_1}{N_2} \] - Since \( N_1 > N_2 \), it follows that \( V_{output} < V_{input} \). 3. **Step-Up Transformer:** - A step-up transformer has more turns in the secondary coil than in the primary coil, i.e., \( N_2 > N_1 \). - This increases the voltage from the primary to the secondary coil. The relationship is: \[ \frac{V_{input}}{V_{output}} = \frac{N_2}{N_1} \] - Here, since \( N_2 > N_1 \), it follows that \( V_{output} > V_{input} \). 4. **Using a Step-Down Transformer as a Step-Up Transformer:** - If we reverse the connections of the transformer, we can use a step-down transformer as a step-up transformer. - By connecting the input voltage to the secondary coil and taking the output from the primary coil, the roles of \( N_1 \) and \( N_2 \) are effectively reversed. - Thus, we can express the relationship as: \[ \frac{V_{input}}{V_{output}} = \frac{N_2}{N_1} \] - Since \( N_2 < N_1 \) in the original configuration, it now acts as a step-up transformer, where \( V_{output} > V_{input} \). 5. **Conclusion:** - The assertion that a step-down transformer can also be used as a step-up transformer is correct. - The reason provided, that the ratio of voltage across primary and secondary coils is the same as the ratio of respective number of turns, correctly explains why this is possible. ### Final Answer: Both the assertion and reason are correct, and the reason is a correct explanation of the assertion. ---
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