A uniform charge of +Q is placed on the sphere of a Van de Graaff generator, suc

Question

A uniform charge of +Q is placed on the sphere of a Van de Graaff generator, such that electron discharge...

A uniform charge of +Q is placed on the sphere of a i discharge is observed from a conducting point a distance of 46 cm away (center to center), Assume the dielectric strength of air E-3 x 10, NC) 9. cn a a) Determine the Electric Potentials at the 100 em and 80 cm radial locations: A small air balloon of charge q-_ 8.4 nC and mass 1.52 grams, is placed at rest at the 100 cm potential surface, and then released. Determine its speed v at the 80 cm radial location: b) (neglect any air resistance and work- K) K Q

Explanation / Answer

a)

E = k*Q/r^2

3*10^6 = (9*10^9*Q)/(0.46^2)

Q = 7.05*10^-5 C

V1 = k*Q/r1 = (9*10^9*7.05*10^-5)/1 = 634500 v

v2 = k*Q/r2 = (9*10^9*7.05*10^-5)/0.8 = 793125 v

(b)

Work done = (v2-v1)*q

change in KE = 0.5*m*v^2

(793125-634500)*8.4*10^-9 = 0.5*1.52*10^-3*v^2

v = 1.32 m/s

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