Home
Class 12
PHYSICS
In what are the charger on all the four ...

In what are the charger on all the four capacitors?
.

Text Solution

Verified by Experts

Let us assign the potentials at nodes `N_(1)` and `N_(2)` as `x` and `y`, respectively. We have identified two isolated systems in the circuits as marked in The potentials at defferent junctions are marked according to the emf of the batteries as shown in the figure. The charge appearing in each capacitors is marded as per the formula `q=CDeltaV`

In the isolated systems `(1)` and `(2)` the net should to conserved. For the isolated system `(1)`,
`2(x-10)+4(x-y)+2x=0`
or `8x-4y-20=0` or `2x-y=5`
.
For the isolated system `(2)`
`-4(x-y)+4(y-15)+4(y-5)=0`
or `-4x+12y-80` or `-2x+6y=40`
Adding Eqs. `(i)` and `(ii)`, we get
`5y=45`
or `y=9 V` and `x=7 V`
Hence, the charges on different capacitors are shown in.
Promotional Banner

Topper's Solved these Questions

  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS|Exercise Solved Examples|10 Videos

  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS|Exercise Exercise 4.1|13 Videos

  • ATOMS

    CENGAGE PHYSICS|Exercise QUESTION BANK|40 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise subjective type|51 Videos

Similar Questions

Explore conceptually related problems

Find the charged stored in all the capacitors

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. .

Only switch S_1 closed in fig. a. what is the steady-state reading of the voltmeter? b. What is the charge on the 3muF capacitor? c. How much power does the 12V battery supply in the steady state after all the switches are closed? d. What is the charge on 2muF capacitor?

If the potentail difference across a capacitor is doubled, what happens to : (a) the charge on the capacitore and (b) the energy stored in the capacitor

What is the nature of the charge on the plates of capacitor ?

The charge on the capacitor is initially zero. Find the charge on the capacitor as a function of time t . All resistors are of equal value R .

Each capacitor in figure has a capaciance of 10muF . The emf of the bettery is 100V . Find the energy stored in each the four capacitors.

The four capacitors, each of 25 muF are connected as shown in figure. The DC voltmeter reads 200V. The charge on each plate of capacitor is