(C) Let the three capacitors be $C_1 = C_2 = C_3 = 2\,\mu F$.If we connect two capacitors in series,their equivalent capacitance $C_s$ is given by:$\f

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Two capacitors in series and the third in parallel with the combination of the first two

(C) Let the three capacitors be $C_1 = C_2 = C_3 = 2\,\mu F$.If we connect two capacitors in series,their equivalent capacitance $C_s$ is given by:$\frac{1}{C_s} = \frac{1}{C_1} + \frac{1}{C_2} = \frac{1}{2} + \frac{1}{2} = 1 \implies C_s = 1\,\mu F$.Now,if we connect this combination in parallel with the third capacitor $C_3 = 2\,\mu F$,the total equivalent capacitance $C_{eq}$ is:$C_{eq} = C_s + C_3 = 1\,\mu F + 2\,\mu F = 3\,\mu F$.Thus,the correct arrangement is two capacitors in series and the third in parallel with them.

Class 12 Physics Electrostatic Potential and Capacitance Equivalent Capacitance of Capacitor connected in Series and Parallel

Easy

To obtain $3\,\mu F$ capacitance from three capacitors of $2\,\mu F$ each,they will be arranged as:

A
All the three in series
B
All the three in parallel
C
Two capacitors in series and the third in parallel with the combination of the first two
D
Two capacitors in parallel and the third in series with the combination of the first two

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Electrostatic Potential and Capacitance

Subtopic

Equivalent Capacitance of Capacitor connected in Series and Parallel

The diagram shows three capacitors with their capacitances and their respective breakdown voltages. What should be the maximum value of the external $emf$ $(E)$ of the source such that no capacitor breaks down?

Medium

View Solution

$A$ capacitor of capacitance $1 \mu F$ withstands a maximum voltage of $6 kV$,while a capacitor of capacitance $2.0 \mu F$ withstands a maximum voltage of $4 kV$. If the two capacitors are connected in series,then the two capacitors combined can take up a maximum voltage of ... $kV$.

Difficult

View Solution

In the circuit shown in the figure,each capacitor has a capacity of $3\,\mu F$. The equivalent capacity between $A$ and $B$ is.......$\mu F$.

Medium

View Solution

$A$ capacitor of capacitance $1 \ \mu F$ withstands a maximum voltage of $6 \ kV$,while a capacitor of $2 \ \mu F$ withstands a maximum voltage of $4 \ kV$. What maximum voltage will the system of these two capacitors withstand if they are connected in series? (in $kV$)

Difficult

View Solution

When three capacitors of equal capacities are connected in parallel and one of the same capacitor is connected in series with this combination,the resultant capacity is $3.75 \mu F$. The capacity of each capacitor is: (in $\mu F$)

MediumMHT CET 2017

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

To obtain $3\,\mu F$ capacitance from three capacitors of $2\,\mu F$ each,they will be arranged as:

Similar Questions

The diagram shows three capacitors with their capacitances and their respective breakdown voltages. What should be the maximum value of the external $emf$ $(E)$ of the source such that no capacitor breaks down?

$A$ capacitor of capacitance $1 \mu F$ withstands a maximum voltage of $6 kV$,while a capacitor of capacitance $2.0 \mu F$ withstands a maximum voltage of $4 kV$. If the two capacitors are connected in series,then the two capacitors combined can take up a maximum voltage of ... $kV$.

In the circuit shown in the figure,each capacitor has a capacity of $3\,\mu F$. The equivalent capacity between $A$ and $B$ is.......$\mu F$.

$A$ capacitor of capacitance $1 \ \mu F$ withstands a maximum voltage of $6 \ kV$,while a capacitor of $2 \ \mu F$ withstands a maximum voltage of $4 \ kV$. What maximum voltage will the system of these two capacitors withstand if they are connected in series? (in $kV$)

When three capacitors of equal capacities are connected in parallel and one of the same capacitor is connected in series with this combination,the resultant capacity is $3.75 \mu F$. The capacity of each capacitor is: (in $\mu F$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module