A bead of mass "m" and charge "q" is threaded on a smooth wire kept along "x" -axis. A second charge "Q" is fixed at the point "x=0" ,"y=-d." It is projected with high speed so that it is initially near "x=-infinity" and it ends up near "x=+infinity." As the moving charge passes thebstationary charge, find the impulse exerted by the wire on the bead. Neglect gravity and assume the speed to be constant.

Two equal negative charges are fixed at points and on y-axis. A positive charge Q is released from rest at the point on the x-axis. The charge Q will:

A charge +Q is uniformly distributed over a thin ring of a radius R. Find the velocity of a negative point charge -Q at the moment it passes through the centre of the ring if it was initially at rest at infinity on the axis of the ring. The mass of the charge-Q is equal to m.

Electric intensity at a point near a charged sphere of charge q is given by

A thin insulating wire is stretched·along the diameter of an. insulated circular hoop of radius R. A small bead of mass m and charge-q is threaded onto the wire. Two small identical charges are tied to the hoop at points opposite to each other, so that the diameter passing through them is perpendicular to the thread as shown in figure. The bead is released at a point which.is located at a distance x_(0) from the centre of the hoop. Assume that x_(0) lt lt R . (a) What is the resultant force acting on the charged bead? (b) Describe the motion of the bead after it is released X (c) Use the assumption that (x)/(R) lt lt 1 to obtain an approximate equation of motion, and find the displacement and velocity of the bead as functions of time (d) When will the velocity of the bead will bcome zero for the first time?

A thin circular wire of radius r has a charge Q. If a point charge q is placed at the centre of the ring, then find the increase in tension in the wire.

2q and 3q are two charges separated by a distance 12cm on x-axis .A third charge q is placed at 5cm on y-axis as shown in figure .Find the change in potential energy of the system if 3q is moved from initial position to a point on X-axis in circular path

A particle of mass m and positive charge q is projected with a speed of v_0 in y–direction in the presence of electric and magnetic field are in x–direction. Find the instant of time at which the speed of particle becomes double the initial speed.