Consider a fixed charge Q and another charge q is placed at a distance `x_(0)` from Q on a smooth plane surface. Find the velocity of charge q as a function of x.
`[[(Qq)/(2pi in_(0)m){(1)/(x_(0))-(1)/(x)}]^(1/2)]`

Charge q_(1) is fixed and another point charge q_(2) is placed at a distance r_(0) form q_(1) on a frictionless horizontal surface.Find the velocity of q_(2) as a function of seperation r between them (treat the changes as point charges and mass of q_(2) is m)

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 charge Q_1 and Q_2 are placed in xy plane at a distance x_1 and x_2 from origin a shown in figure. if electric field at O is same for both charge then find ratio Q_1 and Q_2 .

Four point charges Q.q Q and q are placed at the corners of a square side 'a' as shown in the figures. Find the resultant electric force on a charge Q,

Two free charges q and 4q are placed at a distance d apart A third charge Q is placed between them at a distance x from charge q such that the system is in equilibrium. Then

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

Charges 4Q, q and Q and placed along x-axis at positions x=0,x=t//2 and x=1 , respectively. Find the value of q so that force on charge Q is zero

A conducting spherical shell is earthed. A positive charge +q_1 is placed at the center and another small positive charge +q_2 is placed at a distance r from q_1 . Ignore the effect of induced charge due to q_2 on the sphere. Then the coulomb force on q_2 is