(a) Find the charge on each sphere. q 1 (larger charge) =___ q 2 (smaller charge

Question

(a) Find the charge on each sphere.
q1 (larger charge) =___

q2 (smaller charge) =___

Two identical small spherical conductors (point charges), separated by 0.4 m, carry a total charge of 180 C. They repel one another with a force of 120 N. (For the universal constant kuse the value 8.99 109 N m2/C2.) Find the charge on each sphere. (larger charge) =___ q2 (smaller charge) =___ The two spheres are placed in electrical contact and then separated so that each carries 90 C. Determine the force exerted by one sphere on the other when they are 0.9 m apart. F =____

Explanation / Answer

let q1+q2 = 180 micro C ---(1)

r = 0.4 m


F = k*q1*q2/r^2

120 = 9*10^9*q1*q2/0.4^2

q1*q2 = 2.1*10^-9 ---(1)

on solving eqns 1 and 2

we get


q1 = 167.45 micro C

q2 = 12.54 micro C


when they are connected

q1 = q2 = 90 micro c

F = k*q1*q2/r^2 = 90 N

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