# What is the total electric flux through the surface of a sphere that has a radius of 1 m and carries a charge of 1µC at its center?

What is the total electric flux through the surface of a sphere that has a radius of 1 m and carries a charge of 1µC at its center? coulomb constant is given by Ke = 1/4πεο = 8.99 × 109 where εο is the permittivity of free space.

### Right Answer is: 1.13 × 105 Nm2/C

#### SOLUTION

Charge (q) = 1 × 10−6 C

εο = 8.854 × 10−12

The electric flux through the surface of the sphere

φ = q/εο

φ = 1 × 10−6/8.854 × 10−12

φ = 1.13 × 105 Nm2/C

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