Question

Find the capacitance of following between the terminals A and B if the area of each plate is A and separation between successive plates is d-

• A.
• B. $\frac { 2 } { 3 } \frac { \varepsilon _ { 0 } \mathrm {~A} } { \mathrm {~d} }$
• C. $\frac { 3 \varepsilon _ { 0 } \mathrm {~A} } { \mathrm {~d} }$
• D.

Answer 1

Answer: (B)

$\frac { 2 } { 3 } \frac { \varepsilon _ { 0 } \mathrm {~A} } { \mathrm {~d} }$

Answer 2

$\mathrm { C } _ { \mathrm { AB } } = \frac { ( 2 \mathrm { C } ) \cdot \mathrm { C } } { 2 \mathrm { C } + \mathrm { C } } = \frac { 2 } { 3 } \mathrm { C } = \frac { 2 } { 3 } \frac { \varepsilon _ { 0 } \mathrm {~A} } { \mathrm {~d} }$