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

Answer:

B. The resistance increases.