Three non-conducting infinite planar sheets are parallel to the \( y \)-z plane. Each sheet has ...
0Three non-conducting infinite planar sheets are parallel to the \( y \)-z plane. Each sheet has an uniform surface charge
P density. The first sheet, with a negative surface charge density W \( -\sigma \), passes through the \( x \)-axis at \( x=1 \mathrm{~m} \). The second sheet has an unknown surface charge density and passes through the \( x \) axis at \( x=2 \mathrm{~m} \). The third sheet has a negative surface charge density \( -3 \sigma \) and passes through the \( x \)-axis at \( x=4 \mathrm{~m} \). The net electric field due to the sheets is zero at \( x=1.5 \mathrm{~m} \). Which of the following is/are correct :
(A) The surface charge density on the second sheet is \( +2 \sigma \)
(B) The electric field at \( x=-2 \mathrm{~m} \) is \( \frac{\sigma}{\epsilon_{0}} \hat{i} \)
(C) The electric field at \( x=3 \mathrm{~m} \) is \( \frac{\sigma}{\epsilon_{0}} \hat{i} \)
(D) The electric field at \( x=6 \mathrm{~m} \) is \( \frac{-\sigma}{\epsilon_{0}} \hat{i} \)
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