Three capacitors of 2 mu F, 3 mu F,and 6 mu F | vedclass

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

Question

(A) For capacitors in series,the equivalent capacitance $C_{eq}$ is given by $\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}$.Substi

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) For capacitors in series,the equivalent capacitance $C_{eq}$ is given by $\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}$.Substituting the values: $\frac{1}{C_{eq}} = \frac{1}{2} + \frac{1}{3} + \frac{1}{6} = \frac{3+2+1}{6} = \frac{6}{6} = 1\ \mu F$.The total charge $Q$ supplied by the battery is $Q = C_{eq} 	imes V = 1\ \mu F 	imes 24\ V = 24\ \mu C$.In a series circuit,the charge on each capacitor is the same,so $Q = 24\ \mu C$ for the $6\ \mu F$ capacitor.The potential difference $V'$ across the $6\ \mu F$ capacitor is $V' = \frac{Q}{C} = \frac{24\ \mu C}{6\ \mu F} = 4\ V$.

Three capacitors of $2\ \mu F, 3\ \mu F$,and $6\ \mu F$ are connected in series with a $24\ V$ battery. The potential difference across the $6\ \mu F$ capacitor is .......... $V$.

Similar Questions

The equivalent capacitance in the circuit between $A$ and $B$ will be.....$\mu F$.

Explain the necessity of the combination of capacitors and the ways of their connections.

Two capacitors $C_1 = 2 \ \mu F$ and $C_2 = 3 \ \mu F$ are connected in series between points $A$ and $C$. The potential at point $A$ is $40 \ V$ and the potential at point $C$ is $10 \ V$. Find the potential at point $B$ (between the two capacitors). (in $V$)

Three parallel plate air capacitors are connected in parallel. Each capacitor has plate area $A/3$ and separation between the plates is $d$, $2d$, and $3d$ respectively. The equivalent capacity of the combination is ($\epsilon_0$ is the permittivity of free space).

Three plates of common surface area $A$ are connected as shown. The effective capacitance will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module