Two capacitors of capacitance C1 and C2, are connected in parallel. If a charge Q is given to the combination, the charge gets shared. The ratio of the charge on the capacitor C1 to the charge on the capacitor C2 is

Question

Two capacitors of capacitance C1 and C2, are connected in parallel. If a charge Q is given to the combination, the charge gets shared. The ratio of the charge on the capacitor C1 to the charge on the capacitor C2 is (A) C1 C2 (B) C2 / C1 (C) C1 + C2 (D) C1 / C2

Tardigrade Admin · Accepted Answer

In parallel combination, they will have common potential.
Common potential

\frac{t o t a l c ha r g e}{t o t a l c a p a c i t an ce}

∴ V = \frac{Q}{C _{1} + C _{2}}

Charge on

C_{1} = C_{1} V = \frac{C _{1} Q}{C _{1} + C _{2}}

Charge on

C_{2} = C_{2} V = \frac{C _{2} Q}{C _{1} + C _{2}}

∴

Required ratio =

\frac{C _{1} Q / ( C _{1} + C _{2} )}{C _{2} Q / ( C _{1} + C _{2} )}

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

Q. Two capacitors of capacitance $C_{1}$ and $C_{2}$ , are connected in parallel. If a charge Q is given to the combination, the charge gets shared. The ratio of the charge on the capacitor $C_{1}$ to the charge on the capacitor $C_{2}$ is

$C_{1} C_{2}$

$C_{2} / C_{1}$

$C_{1} + C_{2}$

$C_{1} / C_{2}$

Q. Two capacitors of capacitance C1​ and C2​, are connected in parallel. If a charge Q is given to the combination, the charge gets shared. The ratio of the charge on the capacitor C1​ to the charge on the capacitor C2​ is

C1​C2​

C2​/C1​

C1​+C2​

C1​/C2​

In parallel combination, they will have common potential. Common potential totalcapacitancetotalcharge​ ∴V=C1​+C2​Q​ Charge on C1​=C1​V=C1​+C2​C1​Q​ Charge on C2​=C2​V=C1​+C2​C2​Q​ ∴Required ratio = C2​Q/(C1​+C2​)C1​Q/(C1​+C2​)​ =C2​C1​​

Q. Two capacitors of capacitance $C_{1}$ and $C_{2}$ , are connected in parallel. If a charge Q is given to the combination, the charge gets shared. The ratio of the charge on the capacitor $C_{1}$ to the charge on the capacitor $C_{2}$ is

$C_{1} C_{2}$

$C_{2} / C_{1}$

$C_{1} + C_{2}$

$C_{1} / C_{2}$