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Two metallic spheres of radii 1 cm and 3 cm are given charges of -1×10^-2 C and 5×10^-2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is:
- 2 × 10^-2 C
- 3 × 10^-2 C
- 4 × 10^-2 C
- 1 × 10^-2 C
Correct answer: 4 × 10^-2 C
Solution
When two conductors are connected, charges redistribute until their potentials are equal. The potential is proportional to charge divided by radius. Using charge conservation and equating potentials, the final charge on the bigger sphere is calculated as 4 × 10^-2 C.
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