Question #212552

A dielectric material of relative dielectric constant 6 is now inserted and completely fills the space between the plate capacitor.Calculate the new chargee


1
Expert's answer
2021-07-01T12:50:38-0400

Let the capacitance of the capacitor be C.

After inserting the dielectric material in the capacitor, (C1)=kC(C_1)=kC

Here, in the question it is given , k=6k=6

(C1)=6C(C_1)=6C

Total energy always be conserve,

So, Q122C=Q222C2\frac{Q_1^2}{2C}=\frac{Q_2^2}{2C_2}

Now, substituting the values,

Q2=Q12C2C1Q_2=\frac{Q_1^2 C_2}{C_1}

Q2=Q1×6cc\Rightarrow Q_2=\frac{Q_1\sqrt{\times 6c}}{\sqrt{c}}

Total charge always be conserve, so it will not change.


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