Answer:
0.0375 ohms
Explanation:
The resistance of a material is the product of the resistivity of the material by the length of the material divided by its cross-section area.
Mathematically,
resistance= resistivity × length/area
In this case the resistivity of the material is the same, and the length is the same thus, assume a length of 1 unit, the cross-section area is the one changing
In applying the formula,
resistivity is r and length is l=1 unit, find the resistivity the material as;
resistance= resistivity * length /area
0.075=r*1/1.04
0.075=r*0.9615
0.075/0.9615 =r
r=0.078
use the r=0.078 , a length of 1 unit (assumed), and area of 2.08 mm² to find the new resistance
Resistance= resistivity * length /area
Resistance = 0.078*1/2.08
Resistance= 0.078 * 0.4807 = 0.0375 ohms
Point to note here is that the greater the cross-section area, the less the resistance.
