Question

The magnetic field at the center of a 080-cm- diameter loop is 23 mT What is the current in the loop? Express your answer in amperes.

Answer 1

The current in the loop is approximately 0.184 A.

Step-by-step explanation:

To find the current in the loop, we can use the formula for the magnetic field inside a circular loop. The formula is given by B = (μ₀I)/(2R), where B is the magnetic field, μ₀ is the permeability of free space (4π × 10^(-7) T·m/A), I is the current, and R is the radius of the loop.

Given that the diameter of the loop is 0.80 cm, we can find the radius by dividing the diameter by 2: R = 0.80 cm / 2 = 0.40 cm = 0.0040 m.

Substituting the values into the formula, we have 23 × 10^(-3) T = (4π × 10^(-7) T·m/A) * I / (2 * 0.0040 m).

Simplifying the equation and solving for I, we find I = (23 × 10^(-3) T) * (2 * 0.0040 m) / (4π × 10^(-7) T·m/A).

Calculating the value, we get I ≈ 0.184 A.