Question

17
Two lange parallel plane sheets have uniform charge densities to and o. Determine the electric field
(b) between the sheets, and (it) outside the sheets.​

Answer 1

Explanation:

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Let us consider the two parallel sheets A and B of charges +\sigma and -\sigma and the points P,Q,R.

Now, the electric field due to the plane sheet of charge is given as

E=\frac{\sigma }{2\varepsilon _{o}}

Where, \sigma is the surface charge density.

Such that,

E_{A}=+\frac{\sigma }{2\varepsilon _{o}} and E_{B}=-\frac{\sigma }{2\varepsilon _{o}}

then,

(i) The electric field between the sheets at point Q is ;

\vec{E}=\vec{E}_A-\vec{E}_B

=\frac{\sigma }{2\varepsilon _{o}}- (-\frac{\sigma }{2\varepsilon _{o}})

=\frac{2}{2}(\frac{\sigma }{\varepsilon _{o}})

\vec{E}=\frac{\sigma }{\var epsilon _{o}}

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