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P Two Metal Spheres of Capacitance C1 and C2 Carry Some Charges. They Are Put in Contact and Then Separated. the Final Charges Q1 and Q2 on Them Will Satisfy - Physics

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Question

Two metal spheres of capacitance C1 and C2 carry some charges. They are put in contact and then separated. The final charges Q1 and Q2 on them will satisfy

  • `Q_1/Q_2< C_1/C_2`

  • `Q_1/Q_2 = C_1/C_2`

  • `Q_1/Q_2 > C_1/C_2`

  • `Q_1/Q_2 = C_2/C_1`

Solution

`Q_1/Q_2 = C_1/C_2` 

When the spheres are connected, charges flow between them until they both acquire the same common potential V.
The final charges on the spheres are given by
Q1 = C‚Äč1V and Q2 = C2V

`therefore Q_1/Q_2 = (C_1V)/(C_2V) = C_1/C_2`

  Is there an error in this question or solution?

APPEARS IN

 HC Verma Solution for Concepts of Physics - Vol. 2 (2018 to Current)
Chapter 9: Capacitors
MCQ | Q: 11 | Page no. 164

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Solution P Two Metal Spheres of Capacitance C1 and C2 Carry Some Charges. They Are Put in Contact and Then Separated. the Final Charges Q1 and Q2 on Them Will Satisfy Concept: Capacitors and Capacitance.
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