An air filled parallel plate capacitor charged to potential V1 is connected to an uncharged identical parallel plate capacitor with dielectric constant K. The common potential is V2 . The value of K is

Question

An air filled parallel plate capacitor charged to potential V1 is connected to an uncharged identical parallel plate capacitor with dielectric constant K. The common potential is V2 . The value of K is (A)  (V1-V2/V1+V2)  (B)  (V1/V1-V2)  (C)  (V1-V2/V2)  (D)  (V1-V2/V1)

Tardigrade Admin · Accepted Answer

Common potential =(total text charge/total text capacity) V2=(C0V1+0/C0+KC0)=(V1/1+K) 1+K=(V1/V2) K=(V1-V2/V2)

Q. An air filled parallel plate capacitor charged to potential $V_{1}$ is connected to an uncharged identical parallel plate capacitor with dielectric constant K. The common potential is $V_{2}$ . The value of K is

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

$\frac{V _{1}}{V _{1} - V _{2}}$

$\frac{V _{1} - V _{2}}{V _{2}}$

$\frac{V _{1} - V _{2}}{V _{1}}$

Common potential $= \frac{t o t a l c ha r g e}{t o t a l c a p a c i t y}$ $V_{2} = \frac{C _{0} V _{1} + 0}{C _{0} + K C _{0}} = \frac{V _{1}}{1 + K}$ $1 + K = \frac{V _{1}}{V _{2}}$ $K = \frac{V _{1} - V _{2}}{V _{2}}$

Q. An air filled parallel plate capacitor charged to potential V1​ is connected to an uncharged identical parallel plate capacitor with dielectric constant K. The common potential is V2​ . The value of K is

V1​+V2​V1​−V2​​

V1​−V2​V1​​

V2​V1​−V2​​

V1​V1​−V2​​