Three infinitely long charge sheets are placed as shown in the figure. The electric field at point $P$ is [2005]

Question

Smart Achievers · Accepted Answer

(3)

The direction of electric fields are according to the charge on the sheets, i.e., along the negative $z$ -axis.

The total electric field at point $P$

$\vec{E} = {\vec{E}}_{1} + {\vec{E}}_{2} + {\vec{E}}_{3} = E_{1} (- \hat{k}) + E_{2} (- \hat{k}) + E_{3} (- \hat{k})$

$= [\frac{σ}{2 ε_{0}} + \frac{2 σ}{2 ε_{0}} + \frac{σ}{2 ε_{0}}] (- \hat{k})$

$= - \frac{2 σ}{ε_{0}} \hat{k}$

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