A $$4$$ μF capacitor is charged by a $$200$$ V supply. It is then disconnected from the supply and is connected to another uncharged $$2$$ μF capacitor. The energy lost in the process is

Question

A $$4$$ μF capacitor is charged by a $$200$$ V supply. It is then disconnected from the supply and is connected to another uncharged $$2$$ μF capacitor. The energy lost in the process is

Infinity Learn · Accepted Answer

The initial energy $$E1$$ is given $$byE1=12C1V12=12$$×$$4$$×$$10$$−$$6(200)2$$     $$=8$$×$$10$$−$$2JThe$$ common potential V is given $$byV=q1+q2C1+C2=4$$×$$200+04+2=4003VThe$$ final energy $$E2$$ is given $$byE2=12C1+C2V2$$    $$=126$$×$$10$$−$$6(400/3)2=5$$⋅$$33$$×$$10$$−$$2JLoss$$ of energy $$=E1$$−$$E2$$                         $$=8$$×$$10$$−$$2$$−$$5$$⋅$$33$$×$$10$$−$$2=2$$⋅$$67$$×$$10$$−$$2J$$

A 4 $μ$ F capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 2 $μ$ F capacitor. The energy lost in the process is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A 4 μF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 2 μF capacitor. The energy lost in the process is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A 4 $μ$ F capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 2 $μ$ F capacitor. The energy lost in the process is