The conductivity of a material with current density 1 unit and electric field 200 μV is

The conductivity ((sigma)) of a material can be calculated using the formula (sigma = J / E), where (J) is the current density and (E) is the electric field strength.

Given that:

– (J = 1) unit (assuming this is in A/m(^2) since current density is typically measured in Amperes per square meter)

– (E = 200) μV/m (since electric fields are typically measured in volts per meter, and (1) μV = (1 times 10^{-6}) V)

First, convert (E) to V/m for consistency: (200) μV = (200 times 10^{-6}) V/m

Now, we can calculate the conductivity:

[

sigma = frac{J}{E} = frac{1}{200 times 10^{-6}} = frac{1}{0.0002} = 5000 , text{S/m}

]

So, the conductivity of the material is (5000) Siemens per meter (S/m).