Electrostatics Question 799
Question: A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is $ Am^{2} $ and the separation is t m. The dielectric constants are $ k _{1} $ and $ k _{2} $ respectively. Its capacitance in farad will be
Options:
A) $ \frac{{\varepsilon _{0}}A}{t}( k _{1}+k _{2} ) $
B) $ \frac{{\varepsilon _{0}}A}{t}.\frac{k _{1}+k _{2}}{2} $
C) $ \frac{2{\varepsilon _{0}}A}{t}( k _{1}+k _{2} ) $
D) $ \frac{{\varepsilon _{0}}A}{t}.\frac{k _{1}-k _{2}}{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] The two capacitors are in parallel so $ C=\frac{{\varepsilon _{0}}A}{t\times 2}( k _{1}+k _{2} ) $
