Q102 / 150 · MHT CET 2009 · Physics

Three condenser of capacitance $C(\mu \mathrm{F})$ are connected in parallel to which a condenser of capacitance $C$ is connected in series. Effective capacitance is $3.75$, then capacity of each condenser is

A
$4 \mu \mathrm{F}$
Correct answer
B
$5 \mu \mathrm{F}$
C
$6 \mu \mathrm{F}$
D
$8 \mu \mathrm{F}$

Solution

The effective capacitance of three condenser connected in parallel $=3 C$ When $3 C$ is connected in series to $C$ $$ \begin{aligned} C_{\text {Result }} &=\frac{3 C \times C}{3 C+C}=3.75 \\ \Rightarrow \quad C &=5 \mu \mathrm{F} \end{aligned} $$

Hence, the correct answer is option: 'B'.

Relevant Questions

A parallel plate capacitor of capacitance 'C' is connected to a battery and charged to a potential 'V'. Another capacitor of capacitance ' '19 Apr, 2026 (M)Grouping of capacitors
Three identical capacitors connected in series have net capacitance ' '. Then they are connected in parallel. The ratio of energy stored in 18 Apr, 2026 (E)Grouping of capacitors
Figure shows a network of five capacitors connected to a supply voltage 'V'. The equivalent capacitance and the energy stored in the network18 Apr, 2026 (E)Grouping of capacitors
Two capacitors, and have their capacitances in the ratio 1:2. and are the potential differences applied across the series and parallel combi17 Apr, 2026 (M)Grouping of capacitors
Three capacitors , and are connected to voltage source V as shown in figure. The voltage across will be17 Apr, 2026 (M)Grouping of capacitors
If the equivalent capacitance between points A and B of the combination of capacitors shown in figure, is 6C, the capacitor is17 Apr, 2026 (E)Grouping of capacitors