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Question: Two condensers of capacity \(0.3 \mu F\) and \(0.6 \mu F\) respectively are connected in series. T...

Two condensers of capacity 0.3μF0.3 \mu F and 0.6μF0.6 \mu F respectively are connected in series. The combination is connected across a potential of 6 volts . The ratio of energies stored by the condensers will be

A

12\frac { 1 } { 2 }

B

2

C

14\frac { 1 } { 4 }

D

4

Answer

2

Explanation

Solution

In series combination Q is constant, hence

according to

U1CU \propto \frac { 1 } { C }U1U2=C2C1=0.60.3=21\frac { U _ { 1 } } { U _ { 2 } } = \frac { C _ { 2 } } { C _ { 1 } } = \frac { 0.6 } { 0.3 } = \frac { 2 } { 1 }