# Problem: Which of the following will increase the resistance of a wire?Check all that apply.a) Decreasing the resistivity of the material the wire is composed of will increase the resistance of the wire.b) Increasing the length of the wire will increase the resistance of the wire.c) Decreasing the length of the wire will increase the resistance of the wire.d) Decreasing the cross-sectional area of the wire will increase the resistance of the wire.e) Increasing the cross-sectional area of the wire will increase the resistance of the wire.f) Increasing the resistivity of the material the wire is composed of will increase the resistance of the wire.

###### FREE Expert Solution

Resistance, R,

$\overline{)\begin{array}{rcl}{\mathbf{R}}& {\mathbf{=}}& \mathbf{\rho }\frac{\mathbf{L}}{\mathbf{A}}\end{array}}$

Directly proportional to resistivity, ρ.

Directly proportional to length, L.

Inversely proportional to Area, A.

###### Problem Details

Which of the following will increase the resistance of a wire?

Check all that apply.

a) Decreasing the resistivity of the material the wire is composed of will increase the resistance of the wire.

b) Increasing the length of the wire will increase the resistance of the wire.

c) Decreasing the length of the wire will increase the resistance of the wire.

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

e) Increasing the cross-sectional area of the wire will increase the resistance of the wire.

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

What scientific concept do you need to know in order to solve this problem?

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