a water droplet of mass M is found to be in vertical equilibrium in external electric field if the external electric field is vertically upward find the charge on the water droplet and also write the nature of the charge.
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Answers
Given :
Water droplet of mass M is in equilibrium in external Electric feild direction of whose is vertically upward
To Find :
Charge on water droplet & nature of charge
Solution :
•It is given that water droplet is in equilibrium with external Electric feild
=> Weight of water droplet of mass M is balanced by Electrostatic Force due to External Electric feild.
•Let Magnitude of Electric feild is E & charge on water droplet is q
•So, Electrostatic Force on water droplet is
F(Electrostatic) = Eq _____(1)
•Gravitational force or weight of water droplet
F( Gravitational) = Mg _____(2)
•Since , Water droplet is in equilibrium
F(Electrostatic) = F( Gravitational)
Eq = Mg
q = Mg/E
•Since , Direction of Gravitational force is downward so as to maintain equilibrium Direction of Electrostatic Force should be upward
Also, Direction of Electric feild is upward
=> Charge is positive
Hence , Magnitude of charge is Mg/E & it is positive in nature