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Question : 22
Total: 29
(a) Define electric flux. Write its S. I. units.
(b) Consider a uniform electric field
= 3 × 10 3
N ∕ C . Calculate the flux of this field through a square surface of area 10 cm 2 when
(i) its plane is parallel to they − z plane, and
(ii) the normal to its plane makes a60 ∘ angle with the x -axis.
(b) Consider a uniform electric field
(i) its plane is parallel to the
(ii) the normal to its plane makes a
Solution:
Electric flux: Number of electric field lines crossing an area in a direction normal to it.
SI unit: Nm 2 ∕ C
(b)ϕ = | E | A cos ϕ
(i) When the plane is parallel toY − Z plane, then ϕ = 0 ∘
∴ ϕ = 3 × 10 3 × ( 0.1 ) 2 cos 0 ∘
= 30 Nm 2 ∕ C
(ii) When normal to the plane makes an angle60 ∘ with X -axis, then ϕ = 60 ∘
∴ ϕ = 3 × 10 3 × ( 0.1 ) 2 cos 60 ∘
= 15 Nm 2 ∕ C
(b)
(i) When the plane is parallel to
(ii) When normal to the plane makes an angle
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