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Electrostatic Potential And Capacitance

Question
CBSEENPH12037359

An air capacitor is given a charge of 2 μC raising its potential to 200 V. If on inserting a dielectric medium, its potential falls to 50 V, what is the dielectric constant of the medium?

Solution
Given, an air capacitor is given a charge of 2 μC and the potential raises to 200 V.
When, dielectric is inserted in between the plates of the capacitor, potential falls to 50 V.
Potential decreases by a factor of K.
Thus, dielectric constant of the medium is given by,
                       k = VV' = 20050=4.

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