3.0 Gravitational field

3.1 Gravitational field due to a point mass
3.2 Gravitational field due to a uniform solid sphere
3.3 Gravitational field due to a uniform spherical shell
3.4 Gravitatioal field due to a uniform circular ring at a point on its axis

The space around a material body in which its gravitational pull can be experienced is known as its gravitational field.

The intensity of the gravitational field of a body at a point in the field is defined as the force experienced by a body of unit mass placed at that point.

Mathematically, $$\overrightarrow E = \frac{{\overrightarrow F }}{m}$$

Intensity of gravitational field is a vector quantity

Its dimensional formula is $\left[ {{M^0}L{T^{ - 2}}} \right]$

Unit of intensity of gravitational field in SI system $N/kg$ and in CGS system is $dyne/g$

Note: The earth's acceleration due to gravity $\left( {\overrightarrow g } \right)$ and gravitational field $\left( {\overrightarrow E } \right)$ are same.