NCERT Class XII Chapter
Electric Charges and Fields
Questions With Solutions

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Question : 24
Total: 34
Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitudes 17.0 × 1022 C m2. What is Electric field in
(a) the outer region of the first plate.
(b) the outer region of the second plate, and
(c) between the plates?
Solution:  
As both the plates have same surface charge density σ, so

EA = EB =
σ
2ε0

(a) In region-I, E1 = EBEA =
σ
2ε0
σ
2ε0
or E1 = 0
(b) In region-III, EIII = EAEB =
σ
2ε0
σ
2ε0
or Em = 0
(c) In region-II, EII = EA+EB =
σ
2ε0
+
σ
2ε0
=
σ
ε0

or EII =
17.0×1022
8.85×1012
= 1.92 × 1010 N C1
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