Question

A spool of iron wire 290 m long and with a diameter of 0.440 mm is at 20.0°C. For iron, the resistivity is 10.0 ✕ 10−8 Ω · m and the temperature coefficient of resistivity is 5.00 ✕ 10−³ (°C)−¹.

(a)What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.450 A?

Answer 1

To find the magnitude of the electric field in the wire, use Ohm's law and the formula for electric field.

Step-by-step explanation:

To find the magnitude of the electric field in the wire, we can use Ohm's law and the formula for electric field. Ohm's law states that the voltage is equal to the current multiplied by the resistance: V = I * R. In this case, the resistance (R) of the wire can be calculated using the formula: R = (resistivity * length) / area. The area of the wire can be determined using the formula for the area of a circle: area = π * (radius)^2. Finally, the electric field (E) can be found using the formula: E = V / length. Plugging in the given values and following these equations step by step will give us the magnitude of the electric field.