When two conductors of charges and potentials C1, V1 and C2, V2 respectively are joined, the common potential will be :

Question

When two conductors of charges and potentials C1, V1 and C2, V2 respectively are joined, the common potential will be : (A) (C1 V1+C2 V2/V1+V2) (B) (C1 V12+C2 V22/V12+V22) (C) C1+C2 (D) (C1 V1+C2 V2/C1+C2)

Tardigrade Admin · Accepted Answer

When two conductors of capacities C1 and C2 and potentials V1 and V2 are connected by a conducting wire, charge redistributes in these conductors till potential of both the conductors become equal, known as common potential. Common potential =( text net charge / text total capacity ) i.e, V =(q1+q2/C1+C2) or V=(C1 V1+C2 V2/C1+C2)

Q. When two conductors of charges and potentials $C_{1}, V_{1}$ and $C_{2}, V_{2}$ respectively are joined, the common potential will be :

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

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

$C_{1} + C_{2}$

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

Q. When two conductors of charges and potentials C1​,V1​ and C2​,V2​ respectively are joined, the common potential will be :

V1​+V2​C1​V1​+C2​V2​​

V12​+V22​C1​V12​+C2​V22​​

C1​+C2​

C1​+C2​C1​V1​+C2​V2​​

Q. When two conductors of charges and potentials $C_{1}, V_{1}$ and $C_{2}, V_{2}$ respectively are joined, the common potential will be :

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

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

$C_{1} + C_{2}$

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