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

AI Thread Summary
To solve the problem of determining the potential difference that causes a thread to assume a 30° angle, the forces acting on the sphere must be analyzed. The relevant equations involve the electric field (E), gravitational force (mg), and the charge (q) of the sphere. The relationship E = mg tan(30°) is used to find the electric field, followed by F = E*q to relate it to the potential difference. Finally, the potential difference can be calculated using V = E*d, where d is the distance between the plates. This approach effectively combines the principles of electric potential energy and force resolution.
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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