Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): When a steady current enters a uniform circular wire loop at one point and leaves at another, the net magnetic field at the center of the loop is non-zero and depends on the positions of the entry and exit points. Reason (R): The loop acts as two parallel resistors, and the current divides in such

Step-by-step solution

The Assertion is incorrect. It is a standard principle that when a steady current enters and leaves a uniform circular loop at any two points, the net magnetic field at the center is always zero, regardless of the entry and exit points. The Reason is correct. Let the total current I split into I₁ and I₂ through the two arcs of lengths l₁ and l₂ . Since the wire is uniform, resistance is proportional to length ( R l ). In parallel, I₁ R₁ = I₂ R₂ I₁ l₁ = I₂ l₂ . The magnetic field at the center due to an arc of lengt