The resistivity of a material with resistance 200 ohm, length 10m and area twice that of the length is

To calculate the resistivity (ρ) of a material, you can use the formula:

[

rho = R cdot frac{A}{L}

]

where:

– ρ is the resistivity,

– R is the resistance (200 ohms),

– A is the cross-sectional area, and

– L is the length (10 m).

Given that the area is twice that of the length, we can express the area (A) as:

[

A = 2 cdot L = 2 cdot 10 , m = 20 , m^2

]

Now, substituting the values into the resistivity formula:

[

rho = 200 , Omega cdot frac{20 , m^2}{10 , m} = 200 , Omega cdot 2 , m = 400 , Omega cdot m

]

Therefore, the resistivity of the material is 400 ohm-meter (Ω·m).