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Question

Question: Two parallel plate of area A are separated by two different dielectrics as shown in the figure. The ...

Two parallel plate of area A are separated by two different dielectrics as shown in the figure. The net capacitance is –

A

4ε0A3d\frac{4\varepsilon_{0}A}{3d}

B

3ε0A4d\frac{3\varepsilon_{0}A}{4d}

C

2ε0Ad\frac{2\varepsilon_{0}A}{d}

D

ε0Ad\frac{\varepsilon_{0}A}{d}

Answer

4ε0A3d\frac{4\varepsilon_{0}A}{3d}

Explanation

Solution

C = ε0 At1k1+t2k2\frac { \varepsilon _ { 0 } \mathrm {~A} } { \frac { \mathrm { t } _ { 1 } } { \mathrm { k } _ { 1 } } + \frac { \mathrm { t } _ { 2 } } { \mathrm { k } _ { 2 } } }