The total electrical flux leaving a spherical surface of radius r, in enclosing an electric dipole of charge q is

Question

The total electrical flux leaving a spherical surface of radius r, in enclosing an electric dipole of charge q is (A) zero (B)  (q/ε 0)  (C)  (8π r2q/ε 0)  (D)  (2q/ε 0)

Tardigrade Admin · Accepted Answer

The centre O of the cube is the point of intersection, of the diagonals AG and BH.

G B^{2} = a^{2} + a^{2} = 2 a^{2}

H B^{2} = a^{2} + 2 a^{2} = 3 a^{2}

∴

H B = 3 a,

H O = \frac{3}{2} a

From the symmetry of the eight charges with respect to the centre of the cube, it follows that the field at the centre due to two opposite charges cancel in pairs. Hence, total electric flux

ϕ_{E} = E A = 0.

Q. The total electrical flux leaving a spherical surface of radius r, in enclosing an electric dipole of charge q is

zero

$\frac{q}{ε _{0}}$

$\frac{8 π r ^{2} q}{ε _{0}}$

$\frac{2 q}{ε _{0}}$

Q. The total electrical flux leaving a spherical surface of radius r, in enclosing an electric dipole of charge q is

zero

ε0​q​

ε0​8πr2q​

ε0​2q​

$\frac{q}{ε _{0}}$

$\frac{8 π r ^{2} q}{ε _{0}}$

$\frac{2 q}{ε _{0}}$