Consider two small uniformly charged balls of charge Q and mass m = 20 grams eac

Question

Consider two small uniformly charged balls of charge Q and mass m = 20 grams each. Each charged ball is hang at one end of essentially massless thread as shown in the drawing. If the angle that the thread makes with the horizontal is 45degree and the two charges are separated by distarce of 40cm,what are the magnitude and the sign of charge Q? a. notequalto 11.7 times 10^-6 C b. notequalto 8.02 times 10^-6 C c.notequalto 5.35 times 10^-6 C d.notequalto 2.53 times 10^-6 C e.notequalto 1.36 times 10^-6 C

Explanation / Answer

6)
Electric Field at a distance is given by, E = k*q/r^2
100 = (8.9*10^9)*q/(5.0*10^-2)^2
q = 2.81 * 10^-11 C

Now,
Surface Charge Density = Charge/Area
Surface Charge Density = (2.81 * 10^-11 )/(4**(2.5*10^-2)^2)
Surface Charge Density = 3.5 * 10^-9 C/m^2
Correct Option - (C)

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