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Question: Answered & Verified by Expert
Three point charges of 2mC each are kept at the vertices of an equilateral triangle of side 50 cm. If the system is supplied energy at the rate of 2 kW, the time taken to move one of the charges to the mid point of the line joining the other two charges is
PhysicsElectrostaticsAP EAMCETAP EAMCET 2019 (21 Apr Shift 2)
Options:
  • A 18 s
  • B 36 s
  • C 72 s
  • D 144 s
Solution:
2564 Upvotes Verified Answer
The correct answer is: 72 s

The figure below represents the three point charges forming
equilateral triangle.

The energy system of three charges,

U=3kq1q2r

U=3×k2×10-3×2×10-312

U=24k×10-6 J

When one charge moves to the midpoint of the line joining the
other two charges,

 

The energy of the system,

U'=k2×2×10-6(1/4)×2+k2×2×10-6(1/2)

U'=40k×10-6 J

The net energy,

ΔU=U'-U

ΔU=(40-24)k×10-6

ΔU=16×9×103 J

The energy supplied to the system at the rate of 2 kW,

2 kW×t=16×9×103

2×103×t=16×9×103

t=72 s

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