Question

A current of 7.04 A flows through a wire of radius 4.67 cm. What is the surface current in A/m?

a) 150.21 A/m

b) 300.42 A/m

c) 754.36 A/m

d) 467.00 A/m

Answer 1

The surface current density is calculated using the formula K = I / (2πr) and is approximately 47.92 A/m, not matching any of the provided options, which suggests an issue with the question or options.

Step-by-step explanation:

The question is asking to calculate the surface current density, which is the current per unit length around the circumference of the wire. To calculate the surface current density (K), we use the formula K = I / (2πr) where I is the current and r is the radius of the wire. First, we need to convert the radius from centimeters to meters. Thus, 4.67 cm = 0.0467 m. Now, we can calculate the surface current density: K = 7.04 A / (2π × 0.0467 m). Doing the math, we find that the surface current density is approximately 47.92 A/m, which is not one of the provided options, indicating a possible error in the question or the answer choices.