Flag Electrostatics> What must be the distance between point c...
question mark

What must be the distance between point charge q1 26.0 mC and point charge q2 47.0 mC for the electrostatic force between them to have a magnitude of 5.70 N?

Abdul jalil , 8 Years ago
Grade 12th
anser 2 Answers
Arun
Dear Abdul
 

We can use Coulomb’s law to figure out the distance between the two point charges. Coulomb’s law states:

F=k\dfrac{(q_1)(q_2)}{r^2}F=kr2(q1)(q2)

 

(Where FF is the electrostatic force, kk is Coulomb’s constant, q_1q1 is the charge of the first particle, q_2q2 is the charge of the second particle, and rr is the distance between the two charges)

 

Substitute the values we know into our equation.

F=k\dfrac{(q_1)(q_2)}{r^2}F=kr2(q1)(q2)

5.7=(8.99\times 10^9)\dfrac{(26\times 10^{-6})(47\times 10^{-6})}{r^2}5.7=(8.99×109)r2(26×106)(47×106)

 

(isolate for r)

5.7r^2=(8.99\times 10^9)(26\times 10^{-6})(47\times 10^{-6})5.7r2=(8.99×109)(26×106)(47×106)

r^2=1.9273298r2=1.9273298

r=\sqrt{1.9273298}=1.39r=1.9273298=1.39 m

Last Activity: 8 Years ago
Rohit
Use Coulomb`s law F= k×(q×q)/r^2Substitute the values u will get the answer.Note q and q are different charges they may have same or different magnitude.Regards.
Last Activity: 8 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments