A capacitor of capacitance C1 is charged to a potential V and then connected in parallel to an uncharged capacitor of capacitance C2 .The final potential difference across each capacitor will be

Question

A capacitor of capacitance C1 is charged to a potential V and then connected in parallel to an uncharged capacitor of capacitance C2 .The final potential difference across each capacitor will be (A) ( C 2 V / C 1+ C 2)  (B) (C1 V/C1+C2) (C) (1+( C 2/ C 1)) (D)  (1-( C 2/ C 1)) V

Tardigrade Admin · Accepted Answer

When a charged capacitor of capacitance

C_{1}

is connected in parallel to an uncharged capacitor of capacitance

C_{2}

, the charge is shared between them till both attain the common potential which is given by,
common Potential

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

= \frac{C _{1} V + 0}{C _{1} + C _{2}}

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

Q. A capacitor of capacitance $C_{1}$ is charged to a potential $V$ and then connected in parallel to an uncharged capacitor of capacitance $C_{2}$ .The final potential difference across each capacitor will be

$\frac{C _{2} V}{C _{1} + C _{2}}$

$\frac{C _{1} V}{C _{1} + C _{2}}$

$(1 + \frac{C _{2}}{C _{1}})$

$(1 - \frac{C _{2}}{C _{1}}) V$

Q. A capacitor of capacitance C1​ is charged to a potential V and then connected in parallel to an uncharged capacitor of capacitance C2​ .The final potential difference across each capacitor will be

C1​+C2​C2​V​

C1​+C2​C1​V​

(1+C1​C2​​)

(1−C1​C2​​)V

When a charged capacitor of capacitance C1​ is connected in parallel to an uncharged capacitor of capacitance C2​, the charge is shared between them till both attain the common potential which is given by, common Potential =C1​+C2​q1​+q2​​ =C1​+C2​C1​V+0​ =C1​+C2​C1​V​

Q. A capacitor of capacitance $C_{1}$ is charged to a potential $V$ and then connected in parallel to an uncharged capacitor of capacitance $C_{2}$ .The final potential difference across each capacitor will be

$\frac{C _{2} V}{C _{1} + C _{2}}$

$\frac{C _{1} V}{C _{1} + C _{2}}$

$(1 + \frac{C _{2}}{C _{1}})$

$(1 - \frac{C _{2}}{C _{1}}) V$