Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

Radii of two spheres forming a spherical condenser are 0.3 and 0.4m. If dielectric constant of medium is 4 and medium is completely filled in between, find the capacity of the condenser..

$\begin{array}{1 1} 5.34 \times 10^{-10}F \\ 4.43 \times 10^{-10}F \\ 4.66 \times 10^{-10}F\\ 1.74 \times 10^{-10}F \end{array}$

Can you answer this question?

1 Answer

0 votes
  • If any dielectric is filled between two spheres, then the Capacity is given by C = $4 \pi \epsilon_o \large( \frac{Kab}{a-b})$, where K is the dielectric constant of the medium, and a and b are the radii of the concentric spheres, and $\epsilon_0$ is the permittivity of free space or electric constant.
Given $a = 0.4$ and $b = 0.3$, and $K = 4$, we need to calculate C.
We know that $\epsilon_0 =8.854 187 817... x 10^{−12} F/m$
$\Rightarrow C = 4 \pi \epsilon_o \large (\frac{Kab}{a-b})$$ = 4 \pi \times 8.854 187 817... x 10^{−12} \times \large\frac{4 \times \ 0.4 \times 0.3}{0.4 - 0.3}$
$\Rightarrow C = 5.34 \times 10^{-10} F$
answered Dec 20, 2013 by balaji.thirumalai

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App