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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 assertion-reason question, we need to analyze both statements carefully. ### Step 1: Understanding the Assertion 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, along with the cosine of the angle (θ) between the field and the normal to the surface. - The induced electromotive force (emf) in a loop is given by Faraday's law of electromagnetic induction, which states that the induced emf (ε) is equal to the rate of change of magnetic flux through the loop: \[ \epsilon = -\frac{d\Phi}{dt} \] - If the magnetic flux is at a maximum, it means that there is no change in flux at that instant (dΦ/dt = 0), which implies that the induced emf is zero. ### Step 2: Understanding the Reason The reason states: "When the magnetic flux through a loop is minimum, induced emf is minimum." - Similar to the assertion, if the magnetic flux is at a minimum, it also indicates that there is no change in flux at that instant (dΦ/dt = 0), leading to an induced emf of zero. ### Step 3: Conclusion Both the assertion and the reason are false because: - When the magnetic flux is at a maximum, the induced emf is zero (not maximum). - When the magnetic flux is at a minimum, the induced emf is also zero (not minimum). Thus, the correct answer is that both the assertion and reason are false. ### Final Answer Both Assertion (A) and Reason (R) are false. ---
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