Resistivity and Conductivity Solved numerical problems (Worked Solutions)
In this post, we have compiled a bunch of interesting numerical problems on Resistivity and Conductivity. These are Solved numerical problems (Worked Solutions).
Resistivity and Conductivity numerical problems (solved worksheet)
1 ) Gold has a conductivity of 45 MS m−1. What is the resistance of a 0.01 m diameter gold connector that is 0.05m long?
Solution:
First, work out resistivity:
Then, substitute everything possible into the resistivity formula:
4 ) A strand of metal is stretched to twice its original length. What is its new resistance? State your assumptions.
Solution:
The material does not change, so resistivity is constant. Length doubles and we know that volume must be constant.
V = AL
A = V/L
When we double L, we get:
We are assuming that ρ and V are constant.
3 ) A pure copper wire has a radius of 0.5mm, a resistance of 1 MΩ, and is 4680 km long. What is the resistivity of copper?
Solution:
4) A material has a conductivity of 106 S m−1. What is its resistivity?
Solution:
