Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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A Capacitor with Stored Energy 4⋅0 J is Connected with an Identical Capacitor with No Electric Field in Between. Find the Total Energy Stored in the Two Capacitors. - Physics

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Question

A capacitor with stored energy 4⋅0 J is connected with an identical capacitor with no electric field in between. Find the total energy stored in the two capacitors.

Solution

Given :
Energy stored in the charged capacitor = 4.0 J
When the capacitors are connected, the charge flows from the charged capacitor to the uncharged capacitor. Because the capacitors are identical, the charge flows till the charge in both the capacitors becomes equal.
The energy of a capacitor is given by `E = q^2/(2C)`

As the charge in both the capacitors is the same, their capacitance is also the same. So, the energy is equally divided between them.
Thus, the energy stored in each of the capacitors is 2.0 J.

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Solution A Capacitor with Stored Energy 4⋅0 J is Connected with an Identical Capacitor with No Electric Field in Between. Find the Total Energy Stored in the Two Capacitors. Concept: Energy Stored in a Capacitor.
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