What is the electric field at a point r >R (outside the spherical volume)?

Outside the spherical volume, the electric field at a point r > R can be calculated using the formula for the electric field due to a point charge:

E = k * Q / r^2

Where:
- E is the electric field
- k is the Coulomb constant (8.9875 x 10^9 N m^2/C^2)
- Q is the total charge enclosed within the spherical volume
- r is the distance from the center of the spherical volume to the point where the electric field is being calculated

Since the point charge is located at the center of the spherical volume, the total charge enclosed within the spherical volume is simply the charge of the point charge. Therefore, the formula for the electric field at a point r > R outside the spherical volume simplifies to:

E = k * Q / r^2

Where r is the distance from the center of the spherical volume to the point where the electric field is being calculated.

$$\overrightarrow{E}=\frac{1}{4\pi\varepsilon_0}\frac{Q}{r^2}\hat{r}$$

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