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Help! Circle the correct answer. Thin wires have a greater / less / same electrical resistance than a
thick wire.

Respuesta :

Thin wires have a greater electrical resistance than a  thick wire

Explanation:

The electrical resistance of a wire is given by

[tex]R=\frac{\rho L}{A}[/tex]

where

[tex]\rho[/tex] is the resistivity of the material

L is the length of the wire

A is the cross-sectional area of the wire

From the equation, we notice that:

  • The resistance is proportional to the length of the wire
  • The resistance is inversely proportional to the cross-sectional area

This means that the larger the cross-sectional area (so, the thicker the wire), the less the resistance, and the smaller the cross-sectional area (so, the thinner the wire), the larger the resistance.

Therefore, the correct sentence is:

Thin wires have a greater electrical resistance than a  thick wire.

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