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A: When the magnetic flux through a loop...

A: When the magnetic flux through a loop is maximum, induced emf is maximum.
R: When the magnetic flux through a loop is minimum, induced emf is minimum.

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 solve the given question, we need to analyze the assertion (A) and the reason (R) provided. ### Step 1: Analyze Assertion (A) The assertion states: "When the magnetic flux through a loop is maximum, induced emf is maximum." - Magnetic flux (Φ) is defined as the product of the magnetic field (B) and the area (A) through which it passes, and it can change over time. - According to Faraday's law of electromagnetic induction, the induced emf (ε) in a loop is proportional to the rate of change of magnetic flux through the loop: \[ \epsilon = -\frac{d\Phi}{dt} \] - If the magnetic flux is at a maximum and not changing (i.e., it is constant), then the rate of change of flux (dΦ/dt) is zero. Therefore, the induced emf will also be zero. **Conclusion for A**: The assertion is **incorrect**. ### Step 2: Analyze Reason (R) The reason states: "When the magnetic flux through a loop is minimum, induced emf is minimum." - Similar to the previous analysis, if the magnetic flux is at a minimum and remains constant, then again the rate of change of flux (dΦ/dt) is zero. - This means that the induced emf will also be zero when the flux is constant, regardless of whether it is at a maximum or minimum. **Conclusion for R**: The reason is also **incorrect**. ### Step 3: Final Conclusion Since both the assertion (A) and the reason (R) are incorrect, the correct option is that both statements are wrong. ### Final Answer: Both A and R are incorrect. ---
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