A point charge of magnitude 8.85×10^-2
Answers
Explanation:
b) 1/6 N-M²/C
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Given : a point charge of magnitude 8.85x10^-12C is placed at the centre of a cube.
To find : The electric flux passing through one face.
solution : From Gauss law, electric flux through the Gaussian surface is the ratio of charge enclosed the surface to the permittivity of medium. i.e., Φ = Q/ε
here a point charge is placed at the centre of a cube ( Gaussian surface).
so, Total electric flux passing through the cube, Φ = q/ε
here, q = 8.85 × 10¯¹² C, ε = 8.85 × 10¯¹² C²/Nm²
so, Φ = (8.85 × 10¯¹² C)/(8.85 × 10¯¹² C²/Nm²)
= 1 Nm²/C
as it is being shared by six faces of cube.
so, flux passing through each face of cube = Φ/6
= 1/6 Nm²/C
Therefore The electric flux passing through one face is 1/6 Nm²/C.