Capacitance with Parallel Plate Condenser & Battery: Ans 3x

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The discussion centers on the calculation of capacitance in a parallel plate condenser connected to a battery, specifically when a glass plate with a dielectric constant (K=9) is introduced. The initial distance between the plates is 6 mm, and the glass plate has a thickness of 4.5 mm. The capacity of the system increases to three times its original value due to the introduction of the dielectric material. The problem can be effectively analyzed by treating the configuration as two capacitors in series.

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rohit199622
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A parallel plate condenser is connected with the terminals of a battery. The distance between the plates is 6 mm. If a glass plate (dielectric constant K=9) of 4.5 mm is introduced between them, then the capacity will become
Ans 3 times how?
 
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This looks like a homework question.
Please post it in the right place.
PS try treating the system as two capacitors in series.
 

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