Surface charge density is defined as the charge per unit surface area of surface charge distribution. i.e.,
dq
dS
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 having magnitude of 1.70 × 10–22 Cm–2
as
shown below.
The intensity of electric field at a point is
0
E
, where, 0 = permittivity of free space.
(i) E in the outer region of the first plate is
(a) 17 × 10–22 N/C (b) 1.5 × 10–15 N/C
(c) 1.9 × 10–10 N/C (d) Zero
(ii) E in the outer region of the second plate is
(a) 17 × 10–22 N/C (b) 1.5 × 10–15 N/C
(c) 1.9 × 10–10 N/C (d) zero
(iii) E between the plates is
(a) 17 × 10–22 N/C (b) 1.5 × 10–15 N/C
(c) 1.9 × 10–10 N/C (d) zero
(iv) The ratio of E from right side of B at distance 2 cm and 4 cm, respectively is
(a) 1 : 2 (b) 2 : 1
(c) 1 : 1 (d) 1 :
2
(v) In order to estimate the electric field due to a thin finite plane metal plate, the
Gaussian surface considered is
(a) spherical (b) cylindrical
(c) straight line (d) none of these
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