The force exerted by an external electric field on the charged sphere is:
, where E is the electric field and q is the charge.
From the figure given, the gravitational force, mg, acts in the downward direction.
Tension, T acts in the upward direction along the rope.
The x-component of T is in the negative x-direction and is given by:
Tx = Tsin(10°)
The y-component of T along the positive y-direction is:
Ty = Tcos(10°)
Since the spheres have opposite charges, the Coulombic force between them is attractive.
The force of attraction F on the second charge is along the x-direction.
The electric field is along the x-direction.
The identical small spheres shown in the figure on the right are charged to +100 nC and -100 nC. They hang as shown in a 100,000 N/C electric field. What is the mass of each sphere?
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