A small plastic ball of mass 6.50 times 10^-3 kg and charge +0.170 mu C is suspe

Question

A small plastic ball of mass 6.50 times 10^-3 kg and charge +0.170 mu C is suspended from an insulating thread and hangs between the plates of a capacitor see the drawing. The ball is in equilibrium with the thread making an angle of 30.0 degree with respect to the vertical. The are of each plate is 0.0140 m^2. What is the magnitude of the charge on each plate? The drawing shows an edge on view of two planar surfaces that intersect and are mutually perpendicular. Surface 1 has an are of 1.90 m^2, while surface 2 has an are of 3.20 m^2. The electric field in the drawing in uniform and has a magnitude of 215 N/C. Find the magnitude of the electron flux through surface 2 if the angle theta made between the electric field with the surface 2 is 34.0 degree.

Explanation / Answer

Let electric field be E,

tan 30 degree = qE/mg

E = tan 30 degree*6.5e-3*9.8/0.170e-6

= 216336.5 N/C

E = sigma/eo = 216336.5

Q = sigma*A = 216336.5*8.85e-12*0.0140 = 2.68*10^-8 C answer

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