One small sphere of mass m which has charge Q is suspended by a lightinsulating string with length d in a uniform electric field E(x,y) = 31+ 21.When the sphere is in the equilibrium, the string makes an angle 0=45°with the vertical. Determine the magnitude of Q in terms of m, g.(tan45° 1)E= 31 +21

We represent all the forces and apply translational equilibrium to get the required quantities.

One small sphere of mass m which has charge Q is suspended by a light insulating string with length d in a uniform electric field Ē (x,y) = 31+ 2]. When the sphere is in the equilibrium, the string makes an angle 0 = 45° with the vertical. Determine the magnitude of Q in terms of m,g. (tan45° = 1) %3D E= 31 + 21

One small sphere of mass m which has charge Q is suspended by a light insulating string with length d in a uniform electric field Ē (x,y) = 31+ 2]. When the sphere is in the equilibrium, the string makes an angle 0 = 45° with the vertical. Determine the magnitude of Q in terms of m,g. (tan45° = 1) %3D E= 31 + 21