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A: The power output of a practical trans...

A: The power output of a practical transformer is always smaller than the power input.
R: A transformer works on the principle of mutual induction.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion.

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion.

C

If Assertion is true statement but Reason is false.

D

If both Assertion and Reason are false statements.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements about transformers, we will break down the assertion (A) and reason (R) step by step. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that "The power output of a practical transformer is always smaller than the power input." - In a practical transformer, there are losses due to factors such as resistance in the coils (copper losses), hysteresis losses in the core, and eddy current losses. These losses mean that not all the input power is converted to output power. Therefore, the power output is indeed less than the power input. 2. **Conclusion on Assertion (A)**: - Since the assertion is based on the principles of energy conservation and the inherent inefficiencies in transformers, we conclude that Assertion A is **true**. 3. **Understanding the Reason (R)**: - The reason states that "A transformer works on the principle of mutual induction." - A transformer consists of two coils (primary and secondary) placed close to each other. When an alternating current flows through the primary coil, it creates a changing magnetic field that induces a voltage in the secondary coil through mutual induction. This is the fundamental operating principle of transformers. 4. **Conclusion on Reason (R)**: - The reason provided is correct as it accurately describes how transformers operate. Therefore, Reason R is also **true**. 5. **Evaluating the Relationship Between A and R**: - While both the assertion and the reason are true, the reason does not directly explain why the power output is less than the power input. The assertion is about power loss, while the reason explains the operational principle of the transformer. Thus, the reason does not adequately support the assertion. 6. **Final Answer**: - Both the assertion and reason are true, but the reason does not correctly explain the assertion. Therefore, the correct option is that both A and R are true, but R is not the correct explanation for A.
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