Two spherical bodies, each of mass 50 kg, are placed at a separation of 20 cm. Equal charges are placed on the bodies and it is found that the force of Coulomb repulsion equals the gravitational attraction in magnitude. Find the magnitude of the charge placed on either body.

Question

Philoid · Accepted Answer

Coulomb’s force of repulsion between two charges is given by –

Where,

q₁ and q₂ = are the charges = 1C

k = proportionality constant = 9×10⁹

r= distance between the charges

Now, gravitational force,

Where,

G = universal gravitation constant =

m_{1 =}_mass of first object = 50Kg

m₂ = mass of second object = 50Kg

r = distance between the objects

Now it’s given in the question that –

Substituting the values –