A single-turn circular loop carries a current of 5.00 A . Determine the radius of the loop if the magnetic field B at its centre is 0.200 mT .

Step-by-step solution

The magnetic field at the centre of a circular loop is given by B = ₀ I 2R Rearranging for the radius R , we get R = ₀ I 2B Substituting the given values, I = 5.00 A and B = 0.200 mT = 2.00 10⁻⁴ T : R = 4 10⁻⁷ 5.00 2 2.00 10⁻⁴ R = 20 10⁻⁷ 4.00 10⁻⁴ R = 5 10⁻³ m R = 15.7 10⁻³ m = 1.57 cm