Three particles, each of mass m and carrying a charge q each, are suspended from a common point by insulating massless strings, each of length L. If the particles are in equilibrium and are located at the corners of an equilateral triangle of side a, calculate the charge q on each particle. Assume L>>a.
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Physics
Electric Charges and Fields
Coulomb's Law and Its Applications
Three particles, each of ma...
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Asked on December 26, 2019 by
Sravz Mamdapur
Three particles, each of mass 1 gm and carrying a charge q, are suspended from a common point by insulated massless string, each 100 cm long. If the particles are in equilibrium and are located at the corner of an equilateral triangle of side length 3 cm. Calculate the charge q on each particle. (Take g=10 m/s
2
)
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ANSWER
Let T be the tension in string F=
r
2
kq
2
(k=
4πε
0
1
)
F
2
=F
3
=
(0.03)
2
k(q)
2
=
(0.03)
2
k(q)
2
Tcosθ=mg
Tsinθ=
(0.03)
2
3
kq
2
tanθ=
(0.03)
2
(10)(0.001)
3
kq
2
{m=1 gmm=0.001 kgg=10 m/s
2
sinθ=
100
3
100
3
=
(0.03)
2
(0.01)
3
(9×10
9
)(q)
2
θ=0.992
9×10
9
(0.01)
2
(0.03)
2
=q
2
tanθ=1.732×10
−2
9×10
9
(3×10
−4
)
2
=q
tanθ≈
100
3
q≈
10
10
−16
q≈0.316×10
−8
C
Answer:
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