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

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 (A) (Q1/Q2)<(C1/C2) (B) (Q1/Q2)=(C1/C2) (C) (Q1/Q2)>(C1/C2) (D) (Q1/Q2)<(C2/C1)

Tardigrade Admin · Accepted Answer

Potential of both spheres will be same. ∴ (Q1/C1)=(Q2/C2) or (Q1/Q2)=(C1/C2)

Q. Two metal spheres of capacitance $C_{1}$ and $C_{2}$ carry some charges. They are put in contact and then separated. The final charges $Q_{1}$ and $Q_{2}$ on them will satisfy

$\frac{Q _{1}}{Q _{2}} < \frac{C _{1}}{C _{2}}$

$\frac{Q _{1}}{Q _{2}} = \frac{C _{1}}{C _{2}}$

$\frac{Q _{1}}{Q _{2}} > \frac{C _{1}}{C _{2}}$

$\frac{Q _{1}}{Q _{2}} < \frac{C _{2}}{C _{1}}$

Potential of both spheres will be same.
$∴ \frac{Q _{1}}{C _{1}} = \frac{Q _{2}}{C _{2}}$ or $\frac{Q _{1}}{Q _{2}} = \frac{C _{1}}{C _{2}}$

Q. 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

Q2​Q1​​<C2​C1​​

Q2​Q1​​=C2​C1​​

Q2​Q1​​>C2​C1​​

Q2​Q1​​<C1​C2​​