cnapter 2 , Problem 4 In the figure a small circular hole of radius R 2.04 cm ha

Question

cnapter 2 , Problem 4 In the figure a small circular hole of radius R 2.04 cm has been cut in the middle of an infinite, flat, nonconducting surface that has a uniform charge density o3.78 pC/m2. A z axis, with its origin at the hole's center, is perpendicular to the surface. What is the magnitude of the electric field at point P a 2.58 cm? (Hint: See equation 2E0 2 R2 and use superposition.) Number the tolerance is +/-590 Click if you would like to Show Work for this question: Units Open Show Work

Explanation / Answer

radius,R=2.04 cm

charge density, sigma=3.78*10^-12 C/m^2

distance, z=2.58*10^-2 m

use,

electric field, E=sigma/2eo*(z/sqrt(z^2 + R^2))

=3.78*10^-12/(2*8.85*10^-12)*(2.58*10^-2)/(sqrt((2.58*10^-2)^2+(2.04*10^-2)^2)

=0.167 N/C

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