Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

The expression for the equivalent capacitance of the system shown above is:

Options:

$\frac{\varepsilon_0 A}{3 d}$

$\frac{3 \varepsilon_0 A}{d}$

$\frac{\varepsilon_0 A}{6 d}$

None of the above

Correct Answer:

None of the above

Explanation:

The three capacitors are in parallel.

∴ Equivalent capacitance

C = C1 + C2 + C3

$=\frac{\varepsilon_0 A}{d}+\frac{\varepsilon_0 A}{2 d}+\frac{\varepsilon_0 A}{3 d}$

$=\frac{\varepsilon_0 A}{d}\left(1+\frac{1}{2}+\frac{1}{3}\right)=\frac{11}{5} . \left(\frac{\varepsilon_0 A}{d}\right)$