Final answer:
The electric field strength 2.0 mm above the center of the uniformly charged metal electrode is 0.159 N/C.
Step-by-step explanation:
To find the electric field strength above the center of a uniformly charged metal electrode, we can use the equation for electric field:
E = kQ / r^2
where E is the electric field strength, k is the Coulomb's constant (9 x 10^9 Nm^2/C^2), Q is the charge on the electrode (+71 nC), and r is the distance from the center of the electrode (2.0 mm).
Plugging in the values, we get:
E = (9 x 10^9 Nm^2/C^2)(71 x 10^-9 C) / (0.002 m)^2 = 0.159 N/C
Therefore, the electric field strength 2.0 mm above the center of the electrode is 0.159 N/C.