To understand the concept of field, it is the best to visualize the field with a diagram. There are the diagrams for both field:
The arrows represent the forces expereienced by the subject matter (mass, charges) in 3-D space. Fields are just forces detected in 3-D space around us. Gravitational field is gravitational force at any point around earth or at any distance about the sea level of the earth. We can say the ‘g’ is stronger at sea level than the ‘g’ thousands of feet above sea level. The electric field is constant in the illustrated set up but if set up differently, the field can be different at different postion depending on the charge distribution on the geometric structure instead of the two plates illustrated here.
Forumula or equations:
G is the gravitational constant, is approximately equal to 6.673×10−11 N m2 kg−2. m1 and m2 are respectively the masses of objects 1 and 2.
K is the coulomb’s constant, is approximately equal to 8.987552×109 N m2 C−2. q1 and q2 are respectively the charges of objects 1 and 2.