Question

A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is $k _ { 2 }$ respectively. Its capacitance in farad will be

• A. $\frac { \varepsilon _ { 0 } A } { t } \left( k _ { 1 } + k _ { 2 } \right)$
• B.
• C. $\frac { 2 \varepsilon _ { 0 } A } { t } \left( k _ { 1 } + k _ { 2 } \right)$
• D. $\frac { \varepsilon _ { 0 } A } { t } \cdot \frac { k _ { 1 } - k _ { 2 } } { 2 }$

Answer 1

Answer: (B)

Answer 2

The two capacitors are in parallel so

$C = \frac { \varepsilon _ { 0 } A } { t \times 2 } \left( k _ { 1 } + k _ { 2 } \right)$