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  • There are six identical metal plates arranged as shown in the figure. The area of each plate is A and the separation between two consecutive plates is d. The total energy stored by this system when

There are six identical metal plates arranged as shown in the figure. The area of each plate is A and the separation between two consecutive plates is d. The total energy stored by this system when connected to a cell of emf V is:

Option: 1

\frac{\epsilon_{0}A}{d} v^2


Option: 2

\frac{1}{2} \frac{\epsilon_{0}AV}{d}


Option: 3

\frac{1}{2}\frac{\epsilon_{0}Av^2}{d}


Option: 4

None


Answers (1)

best_answer

The effective capacitance is:

                C = \frac{\epsilon_{0}A}{d}

So energy stored is:

                E = \frac{1}{2}CV^2

               E = \frac{1}{2}\frac{\epsilon_{0}A}{d} v^2

where, 

                C = \frac{\epsilon_{0}A}{d} (capacitance of parallel plate capacitor)

Posted by

Gunjita

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