What Potential Difference Will Cause the Thread to Assume a 30° Angle?

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SUMMARY

The discussion centers on calculating the potential difference required for a charged sphere to assume a 30° angle with the vertical between two parallel plates. The sphere has a mass of 2.70 g and a charge of 8.80×10−6 C. The electric field (E) is determined using the formula E = mg tan(30°), where m is the mass of the sphere and g is the acceleration due to gravity. The potential difference (V) is then calculated using the relationship V = E * d, where d is the distance between the plates (5.00 cm).

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kuwaiteng
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hello !
i have an assignment on Electric Potential Energy , can anyone help me on solving it ?
the problem says : A small sphere with mass 2.70 g hangs by a thread between two large parallel vertical plates 5.00 cm apart.
The plates are insulating and have uniform surface charge densities . The charge on the sphere is q = 8.80×10^−6 C .
What potential difference between the plates will cause the thread to assume an angle of 30.0 with the vertical ?
see the figure :P
 

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draw the FBD of the sphere and resolve the forces in the x and y direction
 
thanx ,, i think i got the answer by drawing the diagram :
E = Mgtan(30)
F=E\q
V= E.d
it is right ?
 

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