Several wires of varying thickness are all made of the same material and all hav

Question

Several wires of varying thickness are all made of the same material and all have the same length. If the wires are arranged in order of decreasing thickness, what can be said about the ordering of their resistance?

   The ordering of the resistances can not be determined because the length is not given.
   The ordering of the resistances can not be determined because the resistivity is not given.
   The wires will be arranged in order of decreasing resistance.
   The wires will be arranged in order of increasing resistance.

Explanation / Answer

Here ,

the resistance of a wire is given as

R = p * L/A

R = p *L/(pi*r^2)

where p is the resistivity , L is the length of wire

r is the radius

for same length and material

for decreasing thickness

The wires will be arranged in order of increasing resistance.

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