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Q.

A uniform electric field E = 2 × 103 N C-1 is acting along the positive x-axis. The flux of this field through a square of 10 cm on a side whose plane is parallel to the y-z plane is 

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a

20 N C-1 m2

b

40 N C-1 m2

c

10 N C-1 m2

d

30 N C-1 m2

answer is A.

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Detailed Solution

Here, E = 2 × 103 N C-1 is along + x-axis

 Surface area, S = (10 cm)2 = 102 × 10-4 m2 = 10-2 m2

 When plane is parallel to y-z plane,θ=00 with + x-axis

 So ϕ=E S cosθ=2×103×10-2 cos0°=20 N C-1 m2 

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