The resistance, R (in ohms), of a wire varies directly with the length, L (in cm), of the
wire, and inversely with the cross-sectional
area, A (in cm2). A 500 cm piece of wire with
a radius of 0.2 cm has a resistance of 0.025
ohm. Find an equation that relates these
variables.

The equation is:

Step-by-step explanation:

The resistance, R (in ohms), of a wire varies directly with the length, L (in cm), of the wire, and inversely with the cross-sectional area, A (in cm2).

This means that we want to find an equation for R, which is a fraction.

Since it varies directly with the length L, L is the numerator.

Since it varies inversely with the cross-sectional area, A is the denominator.

So the equation is:

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3