A parallel late 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

a. |
K= |
b. |
K= |

c. |
K= |
d. |
K = |

A parallel late 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

a. |
K= |
b. |
K= |

c. |
K= |
d. |
K = |

1 Answer

127 votes

C_{12}=

C_{12=}

In the same way we get, C_{34 }=

∴ C_{eq}=C_{12}+C_{34 }= … (i)

Now if K_{eq }=k, C_{eq }= …(ii)

On comparing equation (i) to equation (ii), we get

K_{eq }=

This does not match with any of the options so probably they have assumed the wrong combination

C_{13 }=

=(K_{1 }+K_{3}^{ })

=C_{24 }=(K_{2 }+ K_{4})

C_{eq }=

= ^{ }

K =^{ }

127 votes

127