Two charges `+9e` and `+e` are at `a` distance `x` a part.At what distance, a charge `q` must be placed from charge `+e` so that it is in equilibrium

Two charges +4e and +e are at a distance x apart. At what distance,a charge q must be placed from charge +e so that is in equilibrium

The proton charges +4q and +q are at a distance 3m apart. At what point between the charges, a third charge +q must be placed tokeep it in equilibrium ?

Two point metal charges -q and +2q are placed at a certain distance apart.Where should a third point charge be placed so that it is in equilibrium?

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 magnitude of third charge and postion,

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 +4q and +q are placed at a distance L apart. A third charge Q is so placed that all the three charges are in equilibrium. Then location. And magnitude of the third charge will be

Two point charges +9e and +e are kept 16 cm . Apart from each other. Where should a third charge q be placed between them so that the system is in equilibrium state:

Two particles (free to move) with charges +q and +4q are a distance L apart. A third charge is placed so that the entire system is in equilibrium. (a) Find the location, magnitude and sign of the third charge. (b) Show that the equilibrium is unstable.

Two force point charges +q and +4q are a distance l apart. A third charge q_(1) is so placed that the entire system is in equilibrium. Find the location, magnitude and sign of the third charge.

(a) Two point charges Q and 16 Q are fixed at separation d . Where should a third point charge be placed between them so that it experiences no force I.e. in equilibrium ? (b) In the previous problem , if we replace Q by - Q , where should the third charge be placed on the joining the charges so that it is equilibrium ? (c ) Three point charges Q , q and Q are placed at x = 0 , x = d//2 and x = d . Find q in terms of Q so that all charges are in equilibrium. (d) Two point charges 9 Q and 25 Q are placed at separation d . Where should a third charge q be placed between them so that all charges are in equilibrium ? Also find the value of q and its nature.