A circular loop of wire of radius 10 cm carries a current of 6A. The magnitude of the magnetic field at the center of the loop is A)3.8 × 10^-5 T. B)3.8 × 10^-7 T. C)1.2 × 10^-5 T. D)1.2 × 10^-7 T. E)3.8 × 10^-8 T.

Question

Quizplus · Accepted Answer

The magnetic field at the center of a circular loop is given by B = (μ₀I)/(2R). Using μ₀ = 4π × 10⁻⁷ Tm/A, I = 6 A, and R = 0.1 m, B = (4π × 10⁻⁷ × 6)/(2 × 0.1) = 3.8 × 10⁻⁵ T.

A Circular Loop of Wire of Radius 10 Cm Carries