JEE Main202116 Mar 2021Evening ShiftPhysicsCapacitanceActual
In a parallel plate capacitor set up, the plate area of capacitor is 2   m 2 and the plates are separated by 1   m . If the space between the plates are filled with a dielectric material of thickness 0 . 5   m and are 2   m 2 (see figure) the capacitance of the set-up will be ε 0 ________. (Dielectric constant of the material = 3 . 2 ) (Round off to the Nearest Integer)
Correct answer
0
Step-by-step solution
The given system can be considered as a series combination of two capacitors. The equivalent capacitance can be given as, 1 C = 1 C 1 + 1 C 2 ⇒ 1 C = d 2 K ε 0 A + d 2 ε 0 A ⇒ C = ε 0 A d 2 K + d 2 = 2 ε 0 A d K + d = 2 × 2 ε 0 1 3 . 2 + 1 = 4 × 3 . 2 4 . 2 ε 0 = 3 . 04 ε 0