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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

MCQ

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

Options

  • `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`

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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 = Cā€‹1V and Q2 = C2V

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

Concept: Capacitors and Capacitance
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APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 9 Capacitors
MCQ | Q 11 | Page 164
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