A cylindrical wire of radius 0.5 mm and conductivity $5 \times 10^7 \mathrm{~S} / \mathrm{m}$ is subjected to an electric field of 10 $\mathrm{mV} / \mathrm{m}$. The expected value of current in the wire will be $x^3 \pi \mathrm{~mA}$. The value of x is $\_\_\_\_$ .
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