Two condensers $C_{1} a n d C_{2}$ are connected in parallel with a battery of constant potential difference and the energies stored in them are found to be in the ratio 1 : 2. If the same condensers were now connected in series with the same battery, the ratio of the potential differences across them will be

1 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 2 : 1
$\frac{E_{1}}{E_{2}} = \frac{\frac{1}{2} C_{1} V_{2}}{\frac{1}{2} C_{2} V_{2}} = \frac{C_{1}}{C_{2}} = \frac{1}{2};$
$q = C_{1} V_{1} = C_{2} V_{2}; \frac{V_{1}}{V_{2}} = \frac{C_{2}}{C_{1}} = \frac{2}{1}$

Suggest Corrections

Similar questions

Q. Two condensers of capacity

0.3 μ F

and

0.6 μ F

respectively are connected in series. The combination is connected across a potential of 6V. The ratio of energies stored by the condenser will be:

Q. Question 17
Two resistors of resistance 2

Ω

and 4

Ω

when connected to a battery will have

(a) same current flowing through them when connected in parallel
(b) same current flowing through them when connected in series
(c) same potential difference across them when connected in series
(d) different potential difference across them when connected in parallel

Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be −

(a) 1:2

(b) 2:1

(d) 4:1

Q. Two identical capacitor