A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants $K_{1}, K_{2}, K_{3}, K_{4}$ arranged as shown in the figure. The effective dielectric constant $K$ will be:

Question

A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants

K_{1}, K_{2}, K_{3}, K_{4}

arranged as shown in the figure. The effective dielectric constant

K

will be:

Aicharya · Accepted Answer

C 1 and C 2 are in series. The equivalent capacitance of C 1 and C 2 is C 12 = &#8712; 0 A 2 d 2 K 1 + d 2 K 2 = &#8712; 0 A d K 1 K 2 K 1 + K 2 C 3 &#160; and &#160; C 4 &#160; are&#160;in&#160;series C 34 = &#8712; 0 A 2 d 2 K 3 + d 2 K 4 = &#8712; 0 A d K 3 K 4 K 3 + K 4 C e q = C 12 + C 34 = &#8712; 0 A d K 1 K 2 K 1 + K 2 + K 3 K 4 K 3 + K 4 &#8756; K e q = K 1 K 2 K 1 + K 2 + K 3 . K 4 K 3 + K 4

A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants K 1 ,…

Solution