A parallel plate capacitor has charge $5 imes 10^{-6} \mathrm{C}$. A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is $4 imes 10^{-6} \mathrm{C}$ then the dielectric constant of the slab is ________.

Question

A parallel plate capacitor has charge $5 	imes 10^{-6} \mathrm{C}$. A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is $4 	imes 10^{-6} \mathrm{C}$ then the dielectric constant of the slab is ________.

Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{Q}_{\mathrm{in}}=\mathrm{Q}\left(1-\frac{1}{\mathrm{~K}}ight) \ & 4 	imes 10^{-6}=5 	imes 10^{-6}\left(1-\frac{1}{\mathrm{~K}}ight) \ & 1-\frac{1}{\mathrm{~K}}=\frac{4}{5} \ & \mathrm{~K}=5\end{aligned}$

A parallel plate capacitor has charge $5 \times 10^{-6} \mathrm{C}$. A dielectric slab is inserted between…

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