Home
Class 12
PHYSICS
Charges q(1) , q(2) and q(3) are placed ...

Charges `q_(1)` , `q_(2)` and `q_(3)` are placed on capacitors of capacitance `C_(1)`, `C_(2)` and `C_(3)`, respectively, arranged in series as shown. Switch `S` is there closed. What are the final charges `q'_(1)`, `q'_(2)` and `q'_(3)` on the capacitors?
Given `q_(1)=30muC`, `q_(2)=muC`, `q_(3)=10muC`, `C_(1)=10muF`, `C_(2)=20muF`, `C_(3)=30muF` and `epsilon=12"volt"`

Text Solution

Verified by Experts

Applying Kirchoff's law on the loop,
`(q_(1)')/(C_(1))+(q_(2)')/(C_(2))+(q_(3)')/(C_(3))=epsilon`.........`(1)`
Net charge on plates `2` and `3` will remain conserved.
`:. -q_(1)'+q_(2)'=-q_(1)+q_(2)` ...........`(2)`
Also, net charge on plates `4` and `5` will remain conserved.
`:. -q_(2)'+q_(3)'=-q_(2)+q_(3)` ..........`(3)`
Using Eqs. `(1)`, `(2)` and `(3)` and putting the values, we get
`q_(1)'=(790)/(11)muC`, `q_(2)'=(680)/(11)muC`, `q_(3)'=(570)/(11)muC`.
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTANTICS

    FIITJEE|Exercise MATRIX MATCH TYPE|1 Videos

  • FLUID MECHANICS

    FIITJEE|Exercise ASSIGHNMENT COMPREHENSION NUMERICAL BASED QUESTIONS|2 Videos

Similar Questions

Explore conceptually related problems

The point charges q_(1)=1 muC,q_(2)=-2 muC and q_(3)=3 muC are placed at (1m,0,0),(0,2m,0) and (0,0,3m) respectively. Find the electric potential at origin.

The value of charge q_1 ,q_2 and q_3 as shown in the figure are

Two capacitors of capacitances C_(1) and C_(2) are connected in parallel. If a charge q is given to the assembly, the charge gets shared. The ratio of the charge on the capacitor C_(1) to the charge on C_(2) is

In, the charges on C_(1),C_(2) , and C_(3) , are Q_(1), Q_(2) , and Q_(3) , respectively. .

Three point charge q_1=1muC, q_2=-2muC and q_3=3muC are placed at (1m, 0,0), (0,2m,0) and (0,0,3m) respectively. Find the electric potential at as origin.

A capacitor of capacity C having charge q and 3q , on the plate P_(1) and P_(2) respectively as shoen in figure. Now switch 'S' is closed, find the work done by the battery. (take q = CV )

Four capacitors C_(1)=8 muF , C_(2)=2 muf, C_(3)=6 muF , and C_(4)=6, muF are arranged as shown in. Find the charge on all the capacitors in the circuit. .

In an isolated parallel plate capacitor of capacitance C , the plates have charge Q_(1) and Q_(2) . The potential difference between the plates is

Three charges -q_(1), +q_(2) and -q_(3) are placed as shown in the figure. The x -component of the force on -q_(1) is proportional to