Home
Class 12
PHYSICS
The same capacitors are connected in ser...

The same capacitors are connected in series. Find the resultant capacitance.

Text Solution

Verified by Experts

When the capacitors are connected in series (Fig. 24.10), their charges are redistributed so that the charges of all the capacitors are

equal. To make sure that this is so, consider using Fig. 24.10, what will happen if the system is discharged by shortcircuiting the points at potentials `varphi_(1) and varphi_(2)`.
We have `varphi_(1)-varphi.=q//C_(1), varphi.-varphi_(2)=q//C_(2)` For the system as a whole, Q C g/C. Adding the two former equations and comparing the result with the third, we obtain the formula sought.
Promotional Banner

Similar Questions

Explore conceptually related problems

Theee capacitors of capacitance 1,2,and 3 muF connected in series. Find the resultant capacitance.

When two capacitors are connected in series, the equivalent capacitance is 1.2muF . When they are connected in parallel, the equivalent capacitance is 5muF . The capacitances of the capacitors are

Three capacitors each of capacitor 2muF are connected in series. Find resultance capacity in farad.

When two capacitors are connected in series, the equivalent capacitance is (15)/(4) muF . When they are connected in parallel, the equivalent capacitance is 16muF . The individual capacitance are

Three capacitors each of capacitance 1 muF are connected in parallel. To this combination, a fourth capacitor capacitance 1 muF is connected in series. The resultant capacitance of the system is

Two capacitors of capacitances 3 muF and 6 muF , are charged to potentials 2V and 5V respectively. These two charged capacitors are connected in series. Find the potential across each of the two capacitors now.

Three capacitors each of capacitance 1 mu F are connected in parallel.To this combination,a fourth capacitor of capacitance 1 mu F is connected in series.The resultant capacitance of the system

Five equal capacitors connected in series have a resultant capacity of 5muF . What is their resultant capacity if they are connected in parallel?