Find equivalent capacitance between points A and B. (Assume each conducting plate is having same dimensions and neglect thickness of the plate, (ÏµO A/d)=7μ F, where A is area of plates):-

Question

Find equivalent capacitance between points A and B. (Assume each conducting plate is having same dimensions and neglect thickness of the plate, (ÏµO A/d)=7μ F, where A is area of plates):- <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-stbdpyxatffvkgws.jpg" /> (A) 7μ F (B) 11μ F (C) 12μ F (D) 15μ F

Tardigrade Admin · Accepted Answer

C=(ϵ 0 A/ d)=7μ F CA B=C+((4 C/3) × C/(4 C)3 + C) =C+(4 C/7)=(11 C/7) CA B=11μ F

Q. Find equivalent capacitance between points $A$ and $B .$ (Assume each conducting plate is having same dimensions and neglect thickness of the plate, $\frac{ϵ _{O} A}{d} = 7 μ F,$ where $A$ is area of plates):-

$7 μ F$

$11 μ F$

$12 μ F$

$15 μ F$

$C = \frac{ϵ _{0} A}{d} = 7 μ F$
$C_{A B} = C + \frac{\frac{4 C}{3} \times C}{\frac{4 C}{3} + C}$
$= C + \frac{4 C}{7} = \frac{11 C}{7}$
$C_{A B} = 11 μ F$

Q. Find equivalent capacitance between points A and B. (Assume each conducting plate is having same dimensions and neglect thickness of the plate, dϵO​A​=7μF, where A is area of plates):-

7μF

11μF

12μF

15μF