Question

Which of the following will increase the resistance of a wire? Check all that apply. Check all that apply. Increasing the cross-sectional area of the wire will increase the resistance of the wire. Increasing the resistivity of the material the wire is composed of will increase the resistance of the wire. Decreasing the cross-sectional area of the wire will increase the resistance of the wire. Decreasing the resistivity of the material the wire is composed of will increase the resistance of the wire. Increasing the length of the wire will increase the resistance of the wire. Decreasing the length of the wire will increase the resistance of the wire.

Answer 1

Correct answers:

- Increasing the resistivity of the material the wire is composed of will increase the resistance of the wire.

- Decreasing the cross-sectional area of the wire will increase the resistance of the wire.

- Increasing the length of the wire will increase the resistance of the wire.

Step-by-step explanation:

The resistance of a wire is given by:

`R=\rho (L)/(A)`

where

`\rho` is the resistitivity of the material

L is the length of the wire

A is the cross-sectional area of the wire

From the formula, we can notice that:

- The resistance (R) is directly proportional to both the resistivity (
`\rho`) and the length of the wire (L), so when one of these quantities increases, the resistance will increase as well

- The resistance (R) is inversely proportional to the cross-sectional area (A), therefore when the resistance increases when the cross-sectional area decreases.

Based on these observations, the correct statements are:

- Increasing the resistivity of the material the wire is composed of will increase the resistance of the wire.

- Decreasing the cross-sectional area of the wire will increase the resistance of the wire.

- Increasing the length of the wire will increase the resistance of the wire.