To find the value of R2, we can use the formula for calculating the resistance of a material:
R = ρ * L / A
Where:
R is the resistance of the materialρ is the resistivity of the materialL is the length of the materialA is the cross-sectional area of the material
Since we are given the resistivities, lengths, and cross-sectional areas of two materials (R1, ρ1, M1 and R2, ρ2, M2), we can set up two equations and solve for R2.
For material 1: R1 = ρ1 L1 / A1 R1 = 201×10^-3 3×10^16 / A1
For material 2: R2 = ρ2 L2 / A2 R2 = ρ2 8.5×10^18 / A2
Now we need to find the cross-sectional area (A2) of material 2. We can calculate the cross-sectional area using the mass (M2) of the material and the length (L2) of the material.
A2 = M2 / (ρ2 * L2) A2 = 71×10^-3 / (8.5×10^18)
Now we can substitute the values of A2 and ρ2 into the equation for R2:
To find the value of R2, we can use the formula for calculating the resistance of a material:
R = ρ * L / A
Where:
R is the resistance of the materialρ is the resistivity of the materialL is the length of the materialA is the cross-sectional area of the materialSince we are given the resistivities, lengths, and cross-sectional areas of two materials (R1, ρ1, M1 and R2, ρ2, M2), we can set up two equations and solve for R2.
For material 1:
R1 = ρ1 L1 / A1
R1 = 201×10^-3 3×10^16 / A1
For material 2:
R2 = ρ2 L2 / A2
R2 = ρ2 8.5×10^18 / A2
Now we need to find the cross-sectional area (A2) of material 2. We can calculate the cross-sectional area using the mass (M2) of the material and the length (L2) of the material.
A2 = M2 / (ρ2 * L2)
A2 = 71×10^-3 / (8.5×10^18)
Now we can substitute the values of A2 and ρ2 into the equation for R2:
R2 = 71×10^-3 / (8.5×10^18) * (8.5×10^18) / A2
R2 = 71×10^-3
Therefore, R2 = 71×10^-3.