A sphere A radius 5cm contains a charge of 120 nc .it is connected to two other sphere B and C having respectiv radii of 10cm and 15cm . determine the charges on each of the spheres
Answers
Given : A sphere A radius 5cm contains a charge of 120 nc .it is connected to two other sphere B and C having respectiv radii of 10cm and 15cm
To Find : charges on each of the spheres
Solution:
sphere A radius 5cm contains a charge of 120 nc .it is connected to two other sphere B and C having respectiv radii of 10cm and 15cm
kq₁/r₁ = kq₂/r₂ = kq₃/r₃
=> q₁/5 = q₂/10 = q₃/15
=> q₁ = q₂/2= q₃/3
=> q₁ = x , q₂ = 2x , q₃ = 3x
q₁ + q₂ + q₃ = 120 nC
=> x + 2x + 3x = 120 nC
=> 6x = 120 nC
=> x = 20 nC
2x = 40 nC
3x = 60 nC
Charge on 5 cm radius sphere = 20 nC
Charge on 10 cm radius sphere = 40 nC
Charge on 15 cm radius sphere = 60 nC
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