Question

use the drop - down menus to complete the sentences.
a thin wire has
resistance than a thick wire.
a short wire has
resistance than a long wire.
a warm wire has
resistance than a cool wire.

Explanation:

Resistance formula \( R=
ho\frac{l}{A} \), where \(
ho \) is resistivity (material property), \( l \) is length, \( A \) is cross - sectional area. For the first sentence, since \( R\propto\frac{1}{A} \) (thinner wire has smaller \( A \)), thin wire has higher resistance. For the second sentence, as \( R\propto l \), short wire has lower resistance. For the third sentence, for most conductors, resistance increases with temperature (more thermal vibrations impede electron flow), so warm wire has higher resistance.

Answer:

A thin wire has higher resistance than a thick wire.
A short wire has lower resistance than a long wire.
A warm wire has higher resistance than a cool wire.