Problem 6 (公式題)

帶電平面的電場問題
如圖所示一個帶電的平面,電荷的面密度為\(\sigma\)(=sigma),請計算距離帶電線\(z\)處(\(P\)點)的電場。 (03小題)

\(\vec{E}_P=E_x \hat{i} + E_y \hat{j} + E_z \hat{k}\),
\(E_x\)=______ [epsilon_0,z,sigma]
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\(E_y\)=______ [epsilon_0,z,sigma]
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\(E_z\)=______ [epsilon_0,z,sigma]
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cont. (公式題)

Find the magnitude of the electric field at point B inside the charged parallel plates and outside (point C). The charge density is \(\pm \sigma\)(=sigma) on the plates(see figure). (02小題)

(a)inside the plates(point B), \(E_B\)=_______ [sigma, epsilon_0]
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(b)outside the plates(point C), \(E_C\)=_______ [sigma, epsilon_0]
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cont. (填充題)

A square metal plate of edge length 8.0 cm and negligible thickness has a total charge of \(6 \times 10^{-6}\) C.(a) Estimate the magnitude \(E\) of the electric field just off the center of the plate (at, say, a distance of 0.50 mm from the center) by assuming that the charge is spread uniformly over the two faces of the plate. (b) Estimate E at a distance of 30 m (large relative to the plate size) by assuming that the plate is a point charge. In SI unit. (02小題)

(a) \(E\)=________N/C
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(b) \(E\)=________N/C
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