Resistors and Ohm's Law Video Lessons

Concept

# Problem: Consider two copper wires with the same cross-sectional area. Wire A is twice as long as wire B. How do the resistivities and resistances of the two wires compare?Select one:a. The wires have the same resistivity, but wire A has half the resistance of wire B.b. Wire A has twice the resistivity of wire B, but the wires have the same resistance.c. Wire A has half the resistivity and half the resistance of wire B.d. Wire A has twice the resistivity of wire B, and wire A has twice the resistance of wire Be. The wires have the same resistivity, but wire A has twice the resistance of wire B.

###### FREE Expert Solution

Resistance:

$\overline{){\mathbf{R}}{\mathbf{=}}\frac{\mathbf{\rho }\mathbf{L}}{\mathbf{A}}}$

AA = AB

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###### Problem Details

Consider two copper wires with the same cross-sectional area. Wire A is twice as long as wire B. How do the resistivities and resistances of the two wires compare?

Select one:

a. The wires have the same resistivity, but wire A has half the resistance of wire B.

b. Wire A has twice the resistivity of wire B, but the wires have the same resistance.

c. Wire A has half the resistivity and half the resistance of wire B.

d. Wire A has twice the resistivity of wire B, and wire A has twice the resistance of wire B

e. The wires have the same resistivity, but wire A has twice the resistance of wire B.