A small plastic ball of mass 6.50 * 10^kg and charge +0.170^C is suspended from

Question

A small plastic ball of mass 6.50 * 10^kg and charge +0.170^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 area of each plate is 0.0140 m2. What is the magnitude of the charge on each plate? The drawing shows an cdgc-on view of two planar surfaces that intersect and arc mutually perpendicular. Surface (1) has an area of 1.90 m2, while surface (2) has an area of 3.20 m2. The electric field in the drawing is uniform and has a magnitude of 215 N/C. Find the magnitude of the electric flux through surface (2) if the angle 0 made between the electric field with 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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