The Total solution for NCERT class 6-12
A point charge +10 μC is adistance 5 cm directly above the centre of a square of side 10 cm, as shown inFig. 1.34. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one faceof a cube with edge 10 cm.)
The square can beconsidered as one face of a cube of edge 10 cm with a centre where charge q is placed. According to Gauss’stheorem for a cube, total electric flux is through all its six faces.
Hence, electric flux through one face of the cubei.e., through the square,
Where,
∈0 = Permittivity offree space
= 8.854 × 10−12 N−1C2 m−2
q = 10 μC = 10 × 10−6 C
∴
= 1.88 × 105 N m2 C−1
Therefore, electric fluxthrough the square is 1.88 × 105 Nm2 C−1.