The Relationship Between Magnetic Field and Current in a Loop
What is the current in a 1.0-cm-diameter loop with a magnetic field of 2.5 mT?
Ampere's law states that the magnetic field around a closed loop is directly proportional to the current passing through the loop and inversely proportional to the distance from the center of the loop. The formula for Ampere's law is: B = (μ₀ * I) / (2 * π * r) Where: Given that the magnetic field B is 2.5 mT and the radius of the loop is 0.5 cm, we can rearrange the formula to solve for the current I: 0.0025 T = (4π * 10^-7 T m/A * I) / (2 * π * 0.5 cm) Simplifying the equation and converting cm to meters, we get: 0.0025 = (4π * 10^-7 I) / 0.01 Further simplification leads to: I = (0.0025 * 0.01) / (4π * 10^-7) Therefore, the current flowing through the loop is approximately 1.96 amperes.Ampere's Law and Current Calculation