Question

A sphere of radius 0.03 m has a point charge q = 7.6 µC located at its centre. Find the electric flux through it.

Answer 1

electric flux is independent of radius but dependent on charge enclosed and equal to 1/ε times the charge enclosed
hence electric flux= 7.6×10⁻⁶/8.85×10⁻¹²

Answer 2

Answer:

The electric flux through the center of the sphere is 8.58×10⁵Nm²C⁻¹.

Explanation:

The electric flux through the center of the sphere is given as,

$\phi=\frac{q}{\epsilon_o}$             (1)

Where,

Ф=flux through the center of the sphere

q=charge placed at the center of the sphere

∈₀=permittivity of free space=8.8542×10⁻¹²C²N⁻¹m⁻²

From the question we have,

Charge placed at the center of the sphere(q)=7.6μC=7.6×10⁻⁶C

By placing the value of the charge and permittivity in equation (1) we get;

$\phi=\frac{7.6\times 10^-^6}{8.8542\times 10^-^1^2}$

$\phi=8.58\times 10^5Nm^2C^-^1$

Hence, the electric flux through the center of the sphere is 8.58×10⁵Nm²C⁻¹.