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Electrostatic Potential And Capacitance

Question
CBSEENPH12039822

Two metallic spheres of radii 1 cm and 3 cm are given charges of (-1 x 10-2 C) and 5 x 10-2 C , respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

  • 2 x 10-2 C

  • 3 x 10-2 C

  • 4 x 10-2 C

  • 1 x 10-2

Solution

B.

3 x 10-2 C

Charge flows from high potential to low potential
KQ subscript 1 over 3 space equals space KQ subscript 2 over 1
straight Q subscript 1 space equals space 3 straight Q subscript 2
also comma
straight Q subscript 1 space plus straight Q subscript 2 space equals space 4 space straight x space 10 to the power of negative 2 end exponent
4 straight Q subscript 2 space equals space 4 space straight x space 10 to the power of negative 2 end exponent
straight Q subscript 2 space equals space 10 to the power of negative 2 end exponent
straight Q subscript 1 space equals space 3 space straight x space 10 to the power of negative 2 end exponent space straight C

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