Question

capacitance of a parallel plate air filled capacitor is 8 . if distance between the plate is filled with a material of dielectric constant 6 then what will be its capacitance ​

Answer 1

Answer:

48 C

(if the distance between plates is still same as before)

Explanation:

Capacitance is given by

$\\\tt C=\dfrac{A \epsilon_{\circ}k}{d}$

Here let,

$\\\tt C=\dfrac{A \epsilon_{\circ}k}{d} =8C$

Then,

$\\\tt \dfrac{k_{new}}{k} = 8 \\ k_{new}= 8k$

Now let the new capacitance be give by:

$\\\tt C' =\dfrac{A \epsilon_{\circ}k_{new} }{d}$

$\\\tt C' =\dfrac{A \epsilon_{\circ} \times 6k}{d} \\= 6 \times \dfrac{A \epsilon_{\circ}k}{d} \\= 6 \times 8 C\\=48C$