Condensers with capacities` C, 2 C, 3C` and `4C` are charged to the voltage, `V, 2 V, 3 V` and `4 V` correspondingly. The circuit is closed. Find the voltage on all condensers in the equilibrium.

Answer

A, D

Explanation

Let `+q` charge rotates in the loop in clockwise direction for achieving equilbrium state. In final steady state, charge t eh capacitors will be as shown below
ltbr. Now, applying Kirchoff's loop law we have
`(CV-q/c)+((4CV-q)/(2C))+((9CV-q)/(3C))`
`+((16CV-q)/(4C))=0`
or `q=4.8CV=24/5CV`
`Now V_1=V-q/C=V-24/5V=-19/5V`
`V_2=2V-q/(2C)=2V-24/10V--2/5V` ltbr.gt `V_3=3V-q/(3C)=3V-24/15V=7/5V` and
`V_4=4V-q/(4C)=4V-6/5V-14/5V`