Question
In the figure a small circular hole of radius R = 2.23 cm has been cut...
In the figure a small circular hole of radius R = 2.23 cm has been cut in the middle of an infinite, flat, nonconducting surface that has a uniform charge density σ = 4.23 pC/m2. A zaxis, with its origin at the hole's center, is perpendicular to the surface. What is the magnitude of the electric field at point P at z = 2.79 cm?
MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK NEXT In the figure a small circular hole of radius R = 2.23 cm has been cut in the middle of an infinite, flat, nonconducting surface that has a uniform charge density σ = 4.23 pc/m2. AZ 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 at z = 2.79 cm? (Hint: See equation E=2to11 superposition.) R2 and use
Answers
This among can be considered as a combination of the infinite sheet and a - v e circular disc of some charge density of opposite E_1 = due to infinite sheet E_2 = due to negative disc E_1 = sigma/2 E_0 E_2 = sigma/2 epsilon_0 (1 - z/squareroot z ^2 + R ^2 Rightarrow E_net = E vector_1 + E vector_2 = sigma/2 epsilon_0 k ^+ sigma/2 epsilon_0 (1 - z/squareroot z^2 + A ^2 (- k ^) = sigma/2 epsilon_0 k^(1 - 1 + z/squareroot Z ^2 + R ^2 = sigma/2 epsilon (z/squareroot z ^2 + R ^2 k ^ = 4 . 23 times 10 ^- 12/2 times 8 . 85 times 10 ^- 12 times squareroot (0 . 0223) ^2 + (0 . 0279) ^2) k ^ = 0 . 1866 k ^N/e
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