Electrostatics Question 36
Question: In a parallel plate condenser, the radius of each circular plate is $ 12cm $ and the distance between the plates is$ 5mm $ . There is a glass slab of $ 3mm $ thick and of radius $ 12cm $ with dielectric constant 6 between its plates. The capacity of the condenser will be
Options:
A) $ 144\times {{10}^{-9}}F $
B) $ 40pF $
C) $ 160pF $
D) $ 1.44\mu F $
Show Answer
Answer:
Correct Answer: C
Solution:
$ C=\frac{{\varepsilon _{0}}A}{d-t+\frac{t}{K}}=\frac{1}{4\pi \times 9\times 10^{9}}.\frac{\pi {{(0.12)}^{2}}}{( 2+\frac{1}{2} ){{10}^{-3}}} $
$ =\frac{2\times 144\times {{10}^{-10}}}{36\times 5}=160pF $
