Two spheres have radii 10 cm & 20 cm. One of the sphere is given 150 uC charge and connected by a wire. Their common potential will be-(1) 9 x 106 volts (2) 4.5 x 106 volts(3) 1-8 x 106 volts (4) 1.35 x 109 volts
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Answer:
Here two spheres are not concentric.
When two sphere are connected by a conducting wire,Let charges be Q1 and Q2.
Q1 + Q2 = 300μC
R1
KQ1
=
R2
KQ2
Q1=2×Q2
2×Q2+Q2=300μC
Q2=100μC,Q1=200μC
Common potential is, V
c
=
4πϵ
0
R
1
Q1
=
4×3.14×8.854×10
−12
×20×10
−2
200×10
−6
∼9×10
6
V
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