Question

what happens to the resistance of a wire as its length increases?
a. the resistance decreases.
b. the resistance increases.
c. the resistance alternates between high and low values.
d. the resistance is not affected by a change in wire length.

Explanation:

The resistance formula of a wire is \(R =
ho\frac{l}{S}\), where \(R\) is resistance, \(
ho\) is resistivity (a property of the material, constant for a given material), \(l\) is length, and \(S\) is cross - sectional area. When the length \(l\) of the wire increases (assuming cross - sectional area \(S\) and resistivity \(
ho\) remain constant), according to the formula \(R=
ho\frac{l}{S}\), the value of \(R\) will increase.

Answer:

B. The resistance increases.