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An electrostatic paint sprayer has a 0.8 m diameter metal sphere at a potential of 39 kV that repels paint droplets onto a grounded object. What charge is on the sphere? Give answer in terms of 10^-7 C.

Answer :

Answer:

The charge on the sphere is [tex]1.735\times 10^{- 7} C[/tex]

Solution:

The electric potential on the surface of a sphere of radius 'b' and charge 'Q' is given by:

[tex]V_{sphere} = \frac{Q}{4\pi\epsilon_{o}b}[/tex]

According to the question:

Diameter, b = 0.8 m

Potential of sphere, [tex]V_{sphere} = 39 kV = 39000 V[/tex]

[tex]{4\pi\epsilon_{o}\frac{0.8}{2}\times 39000 = Q[/tex]

Q =  [tex]1.735\times 10^{- 7} C[/tex]

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