Question

40.A sphere A of radius 5 cm contains a
charge of 120 nC. It is connected to two
other spheres B and C having respective
radii of 10 cm and 15 cm. Determine the
charges on each of the spheres.
1) 20nC, 60nC, 40nC
2) 20nC, 40nC, 60nC
3) 20nC, 40nC, 10nC
4) 20nC, 80nC, 20nC​

Answer 1

Answer:

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

Answer 2

Answer:

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