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CBSE Class 12-science Answered

13./A point charge of 12 µC is located at the centre of a cube of side 1 m. Calculate the electric flux through each face of the cube. (H.S.S.C.E.1999~S) [Ans. 2.26\times10^{5}N~m^{2}C^{-1}]
Asked by hussain221man | 05 Apr, 2024, 08:44: PM
answered-by-expert Expert Answer

Flux of electric field through a closed sirface area is ( Q / εo ) , where Q is enclosed charge and εo = 8.854 × 10-12 F/m

is permittivity of free space .

Surface area of cube = 6 × ( Area of each face ) = 6 a2 .

Where a is side length of cube .

Flux Φ of electric field through one face is

Φ =  Q / ( 6 εo ) = ( 12 × 10-6 ) / ( 6 × 8.854 × 10-12 )  N C-1 m2 = 2.259 × 105 N C-1 m2

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