Question

A point charge produces an electric flux of +305 N⋅m2/C through a gaussian sphere of radius 15.0 cm centered on the charge. a What is the flux through a gaussian sphere with a radius 29.0 cm ?b What is the magnitude of the charge?

Answer 1

Given

The electric flux is

`\phi=+305\text{ Nm}^2\text{ /C}`

Radius of the sphere,

`r=15.0\text{ cm}`

To find

a. The flux through a gaussian sphere with radius of 29.0 cm.

b. The magnitude of the charge

Step-by-step explanation

a. Since the gaussian sphere covers the same charge so the electric flux through both the sphere will be same.

Thus the required flux is

`\phi=305\text{ Nm}^2\text{ /C}`

b.

The magnitude of the charge is

`\begin{gathered} Q=\phi\epsilon_o \\ \Rightarrow Q=305*8.85*10^(-12) \\ \Rightarrow Q=30.97*10^(-12)\text{ C} \end{gathered}`

Conclusion

a. The flux is

`305\text{ Nm}^2\text{ /C}`

b. The charge is

`30.97*10^{-12\text{ }}C`