Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): For a uniform circular loop carrying a steady current that enters at point P and leaves at point Q, the net magnetic field at the center is always zero for any position of P and Q. Reason (R): The current divides into the two segments of the loop in direct proportion to their lengths. In the light

Step-by-step solution

Let the total current entering the uniform circular loop be I . The loop is divided into two segments of lengths L₁ and L₂ , subtending angles ₁ and ₂ at the center, respectively. Since the loop is uniform, the resistance of each segment is proportional to its length (and thus its subtended angle). Therefore, R₁ ₁ and R₂ ₂ . In a parallel combination, the current divides in the inverse ratio of the resistances. Thus, the currents in the two segments are I₁ = I R₂ R₁ + R₂ = I ₂ 2 and I₂ = I R₁ R₁ + R₂ = I ₁ 2 . This