Capacitors of capacities C_1, C_2 and C_3 are | vedclass

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

Question

(C) In a series combination,the equivalent capacitance $C$ is given by $\frac{1}{C} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}$.$\frac{1}{C} = \f

Vedclass · Accepted Answer

$\frac{C_2 C_3 V}{C_2 C_3+C_1 C_3+C_1 C_2}$

Vedclass · Answer

(C) In a series combination,the equivalent capacitance $C$ is given by $\frac{1}{C} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}$.$\frac{1}{C} = \frac{C_2 C_3 + C_1 C_3 + C_1 C_2}{C_1 C_2 C_3}$.Therefore,$C = \frac{C_1 C_2 C_3}{C_2 C_3 + C_1 C_3 + C_1 C_2}$.The total charge $Q$ stored by the combination is $Q = CV = \frac{C_1 C_2 C_3 V}{C_2 C_3 + C_1 C_3 + C_1 C_2}$.In a series combination,the charge on each capacitor is the same and equal to the total charge $Q$.Therefore,the potential difference across capacitor $C_1$ is $V_1 = \frac{Q}{C_1}$.Substituting the value of $Q$,we get $V_1 = \frac{C_1 C_2 C_3 V}{C_1 (C_2 C_3 + C_1 C_3 + C_1 C_2)} = \frac{C_2 C_3 V}{C_2 C_3 + C_1 C_3 + C_1 C_2}$.

Capacitors of capacities $C_1, C_2$ and $C_3$ are connected in series. If the combination is connected to a supply of $V$ volt,then the potential difference across capacitor $C_1$ is

Similar Questions

When a series combination of $2.0\ \mu F$ and $8.0\ \mu F$ capacitors is connected to a $300\ V$ potential difference,the charge on the $2.0\ \mu F$ capacitor is .....

The combined capacity of the parallel combination of two capacitors is four times their combined capacity when connected in series. This means that:

Two condensers of capacity $0.3\,\mu F$ and $0.6\,\mu F$ respectively are connected in series. The combination is connected across a potential of $6\,V$. The ratio of energies stored by the condensers will be

$A$ 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 ... $kV$.

All capacitors used in the diagram are identical and each is of capacitance $C$. Then the effective capacitance between the points $A$ and $B$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module