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two similar helium filled spherical balloons tied to a 5 g weight with strings of length 1 m and each carrying an electric charge q floating in equilibrium.Baloons are 60 cm away from each other.If the charge on each balloon acts as if it were concentrated at its center then what is the magnitude of q in coulombs?

two similar helium filled spherical balloons tied to a 5 g weight with strings of length 1 m and each carrying an electric charge q floating in equilibrium.Baloons are 60 cm away from each other.If the charge on each balloon acts as if it were concentrated at its center then what is the magnitude of q in coulombs?
 

Grade:12

1 Answers

Arun
25750 Points
6 years ago
Dear Tanmay
 
for the equiibrium of weight M,
2T cos @ = Mg
while for the equilibrium of balloon
F  = T sin@
and 
Th – mg  = Tcos@
V(rho)g – V(sigma)g = T cos@
on solving above three equations
we get
q = 1665 esu
and 
V = 2294 cc

Regards
Arun (askIITians forum expert)

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