SOLUTION: This for my variation, ratio and proportions work, could someone please help, I am having so many problems even figuring out where to start. An electrically charged particle gener

Question 395437: This for my variation, ratio and proportions work, could someone please help, I am having so many problems even figuring out where to start.
An electrically charged particle generates an electric field around it. The strength, E, of the electric field (in NC^-1) is directly proportional to the size of the charge on the particle, Q (in Coulombs, C), and inversely proportional to the square of the distance from it, d, in metres.
(i) Set up the proportional relationship.
Which I think is E=k sqrt Q/d is this correct
(ii)Find the constant of proportionality if the electric field strength 3.00cm from a 3.5uC charge is 3.5*10^7 NC^-1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An electrically charged particle generates an electric field around it.
The strength, E, of the electric field (in NC^-1) is directly proportional to the size of the charge on the particle, Q (in Coulombs, C), and inversely proportional to the square of the distance from it, d, in metres.
(i) Set up the proportional relationship.
Which I think is E=k sqrt Q/d is this correct
---
No: E = k*Q/d^2
==============================
(ii)Find the constant of proportionality if the electric field strength 3.00cm from a 3.5uC charge is 3.5*10^7 NC^-1
---
3.5*10^7 = k*3.5/3^2
---
k = 9(3.5*10^7)/3.5
k = 9*10^7
===================
Cheers,
Stan H.

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