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The two capacitor paradox or capacitor paradox is a paradoxor counterintuitive thought experimentin electric circuit theory. When a steady state is reached and the current goes to zero, the voltage on the two capacitors must be equal since they are connected together.

Where did the other half of the initial energy go?

This is an old problem which has been discussed Can you hook up two capacitors in electronics literature. The description specified above is not physically realizable if the circuit is assumed gou be made of ideal capacitros elementsas is usual in circuit theory. If the wires connecting the two capacitors, the switch, and the capacitors themselves are idealized as having no electrical resistance or inductance as is usual, then closing the switch would connect points at different voltage with a perfect conductor, causing an infinite current to flow.

Therefore a solution requires that one or Free phone friendship numbers of the 'ideal' characteristics of the elements in the circuit be relaxed, which was not specified in the above description.

The solution differs depending on assumptions about the actual characteristics of the circuit elements:. Various additional solutions have been devised, based on more detailed assumptions about the characteristics of the components.

There are several alternate versions of the paradox. Another equivalent version is a single charged capacitor short circuited by a perfect conductor.

In these cases in the final state the entire charge has been neutralized, the final voltage on the capacitors is zero, so the entire initial energy has vanished. The solutions to where the energy went are similar to those described in the previous section.

From Wikipedia, the free encyclopedia.

Retrieved 12 June December Institute of Electrical and Electronic Engineers. Physics Dept.

American Journal of Physics. American Association of Physics Teachers. August Wireless World.

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Categories : Electrical circuits Capacitors Physical paradoxes Thought experiments in physics. Namespaces Article Talk.

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