What Diameter of Cylindrical Wire Should Be Used to Make a Fuse?

How can we determine the diameter of the cylindrical wire needed to make a fuse that limits the current to 0.53 A?

Determining the Diameter of the Cylindrical Wire for the Fuse

To determine the diameter of the cylindrical wire needed to make a fuse that limits the current to 0.53 A, we can use the formula for current density, which is current divided by cross-sectional area. The current density is given as 510 A/cm2 and the desired current is 0.53 A. We can rearrange the formula to solve for the cross-sectional area and then use it to find the diameter. First Step: Finding Cross-Sectional Area Current density = Current / Cross-sectional area 510 A/cm2 = 0.53 A / Cross-sectional area Cross-sectional area = 0.53 A / 510 A/cm2 Second Step: Calculating Diameter Now, we can use the formula for the area of a circle to find the diameter: Area of a circle = π * (diameter/2)2 Cross-sectional area = π * (diameter/2)2 Substituting the cross-sectional area we found: 0.53 A / 510 A/cm2 = π * (diameter/2)2 Solving for diameter, we have: diameter = √((0.53 A / 510 A/cm2) / π) * 2

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