Two charges, each equal to q, aer kept at `x=-a` and `x=a` on the x-axis. A particle of mass m and charge `q_0=q/2` is placed at the origin. If charge `q_0` is given a small displacement (ylt lt a) along the y-axis, the net force acting on the particle is proportional to

Two equal point charges are fixed at x=-a and x=+a on the x-axis. Another point charge Q is placed at the origin. The change in the electrical potential energy of Q, when it is displaced by a small distance x along the x-axis, is approximately proportional to

In Fig. 22-19, particle 1 of charge q_(1)=5.00q and a particle 2 of charge q_(2)+2.00q are fixed on the x-axis. As a multiple of distance L, at what coordinate on the axis is the net electric field of the particles zero?

A positive point charge q_(1) is placed at (a,0) and another positive point charge q_(2) is placed at (0,a) . Find the force acting on q_(1) .

Two charges of equal magnitude q are placed at a distance 2a Another charge q of mass m, is placed midway between the two charges on X-axis. If this charges is displaced from equilibruim state to a distance x(x lt lt a) , then the particle :-

Two point charges (Q each are placed at (0,y) and (0-y) A point charge q of the sme polarity can move along the x-axis. Then

Two identical positive charges Q each are placed on the x axis at point (-a,0) and (a,0) A point charge of magnitude q is placed at the origin. For small displacement along x axis, the charge q executes simple harmonic motion if it is poitive and its time period is T_(1) . if the charge q is negative, it perform oscillations when displaced along y axis. in this case the time period of small oscillations is T_(2). find (T_(1))/(T_(2))

Two identical charges +Q are kept fixed some distance apart.A small particles P with charge q is placed midway between them . If P is given a small displacement Delta ,it will undergo simple harmonic motion if (i) q is positive and Delta is along the line joining the charges (ii) q is positive and Delta is perpendicular to the line joining the charges (iii) q is negative and Delta is perpendicular to the line joining the charges (iv) q is positive and Delta is along the line joining the charges

A charge particle of mass m and charge q is projected with velocity v along y-axis at t=0. Find the velocity vector and position vector of the particle vec v (t) and vec r (t) in relation with time.