Question

Can you come up with a mathematical relationship, based on your data that shows the relationship between distance from the charges and electric field strength?

Answer 1

The relationship is
`E=( kQ)/(d^2)`

Step-by-step explanation:

The electric field strength is denoted by the symbol E,

the test charge is denoted be q and the source charge be Q

distance is denoted by d

Then the equation can be rewritten in symbolic form as

Electric field strength is = Force/charge

`E=(F)/(q)------1`

we know that the formula for force is given as

`F= (kQq)/(d^2) ------2`

where
`k= 9*10^9 N.m^2/C^2`

and d is the separation distance between charges

We can insert the expression for Force in equation one

we have

`E= \frac{kQ\sout{q}/d^2}{\xout{q}}--------3`

We can strike out both qs in the numerator and denominator we have

`E=( kQ)/(d^2)`