You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Capacitance of Parallel Plate Capacitor

Three capacit...

Question

Three capacitors $C_{1} = 2 μ F, C_{2} = μ F$ and $C_{3} = 4 μ F$ are separately charged with battery of potential difference $40 V, 30 V$ and $10 V$ respectively, and then disconnected. They are then connected to each other as shown.
the charge on the capacitor $C_{3}$ is $\frac{40 n}{13}$ . Find $n$

Open in App

Solution

$\frac{(40 - q)}{4} + \frac{80 - q}{2} - \frac{90 + q}{3} = 0$
$q = \frac{240}{13} H . C$

Suggest Corrections

Similar questions

Q. Three capacitors

C_{1}, C_{2}

and

C_{3}

are connected to a battery of

6 V

as shown in figure. Find the charges on the three capacitors.

Q. Four capacitors of capacitance

C_{1} = 1 μ F, C_{2} = 2 μ F, C_{3} = 3 μ F

and

C_{4} = 4 μ F

are connected as shown in the figure. Find the potential differences across

C_{3}

when switch

S

is closed.

Q. Two capacitors

C_{1} = 2 μ F

and

C_{2} = 6 μ F

in series, are connected in parallel to a third capacitor

C_{3} = 4 μ F

. This arrangement is then connected to a battery of e.m.f.=2 V, as shown in figure. The energy lost by the battery in charging the capacitors is :

Q. Four capacitors

C_{1} = 1 μ F

C_{2} = 2 μ F

C_{3} = 3 μ F

and

C_{4} = 4 μ F

are connected as given in figure. The potential of junction O is

Find the charges on the three capacitors connected to a battery as shown in figure (31-E1). Take $C_{1} = 2.0 μ F, C_{2} = 4.0 μ F, C_{3} = 6.0 μ F$ and $V = 12$ volts.

Join BYJU'S Learning Program

Three capacitors C1=2μF,C2=μF and C3=4μF are separately charged with battery of potential difference 40V,30V and 10V respectively, and then disconnected. They are then connected to each other as shown.the charge on the capacitor C3 is 40n13. Find n

(40−q)4+80−q2−90+q3=0q=24013H.C

$\frac{(40 - q)}{4} + \frac{80 - q}{2} - \frac{90 + q}{3} = 0$
$q = \frac{240}{13} H . C$