How to Calculate the Resistance of a Car Fuse Wire?

0.8 Ω is the resistance of the fuse wire.

Understanding Fuse Resistance Calculation:

The current rating of a fuse, such as the 15 A rating given in this problem, indicates the maximum amount of current that can safely flow through the fuse before it blows or melts to interrupt the circuit. The resistance of the fuse wire is a function of its dimensions and material properties.

To find the resistance of the fuse wire, we can use Ohm's law, which states that the voltage across a component is equal to the product of the current flowing through it and its resistance.

In this case, we know the voltage of the battery is 12 V, and the maximum current rating of the fuse is 15 A. Therefore, the resistance of the fuse wire can be calculated as:

Resistance = Voltage / Current = 12 V / 15 A = 0.8 Ω

This means that the resistance of the fuse wire is 0.8 ohms. This value is within the range of typical resistance values for fuse wires used in automotive applications.

It's important to note that the resistance of the fuse wire is not fixed and can change with temperature, current flow, and other factors. Fuse wires are designed to have a relatively low resistance so that they don't interfere with the normal functioning of the circuit, but high enough to limit current flow to safe levels in the event of a short circuit or other fault.