Question

2. Two particles A and B, each carrying a charge Q, are
held fixed with a separation d between them. A particle
C having mass m and charge q is kept at the middle
point of the line AB. (a) If it is displaced through a
distance x perpendicular to AB, what would be the
electric force experienced by it. (b) Assuming x <<d,
show that this force is proportional to x. (c) Under what
conditions will the particle C execute simple harmonic
motion if it is released after such a small displacement ?
Find the time period of the oscillations if these
conditions are satisfied.​

Answer 1

Two particles A and B, each carrying a charge Q, are held fixed with a separation d between them. A particle C having mass m and charge q is kept at the middle point of the line AB. (a) If it is displaced through a distance x perpendicular to AB, what would be the electric force experienced by it. (b) Assuming .t « d, show that this force is proportional to x. (c) Under what conditions will the particle C execute simple harmonic motion if it is released after such a small displacement ? Find the time period of the oscillations if these conditions are satisfied.Read more on Sarthaks.com - https://www.sarthaks.com/64458/two-particles-a-and-b-each-carrying-a-charge-are-held-fixed-with-a-separation-d-between-them