Question 524: Electrostatics & Capacitance

Question

Three identical capacitors of capacitance '$$\mathrm{C}$$' each are connected in series and this connection is connected in parallel with one more such identical capacitor. Then the capacitance of whole combination is

Accepted Answer

The equivalent capacitance of three capacitances connected in series is
$$\begin{aligned}
& \frac{1}{C_{e q}}=\frac{1}{C}+\frac{1}{C}+\frac{1}{C} \
& \frac{1}{C_{e q}}=\frac{3}{C} \
& C_{e q}=\frac{C}{3}
\end{aligned}$$
This capacitance is connected in parallel with another capacitance.
$$\begin{aligned}
& \Rightarrow C_{	ext {total }}=\frac{C}{3}+C \
& C_{	ext {total }}=\frac{4 C}{3}
\end{aligned}$$

Answer

$$3 \mathrm{C}$$

Answer

$$2 \mathrm{C}$$

Answer

$$\frac{4}{3} \mathrm{C}$$

Answer

$$\frac{3}{4} \mathrm{C}$$

Electrostatics & Capacitance

Three identical capacitors of capacitance '$\mathrm{C}$' each are connected in series and this connection is connected in parallel with one more such identical capacitor. Then the capacitance of whole combination is

Choose the correct answer: