If the equivalent capacitance between points | vedclass

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

Question

(C) From the figure, the three capacitors $2C$, $3C$, and $4C$ are connected in parallel.Let the equivalent capacitance of this parallel combination b

Vedclass · Accepted Answer

$18$

Vedclass · Answer

(C) From the figure, the three capacitors $2C$, $3C$, and $4C$ are connected in parallel.Let the equivalent capacitance of this parallel combination be $C_p$.$C_p = 2C + 3C + 4C = 9C$.Now, this combination $C_p$ is in series with the capacitor $C^1$ between points $A$ and $B$.The equivalent capacitance $C_{eq}$ of two capacitors in series is given by $\frac{1}{C_{eq}} = \frac{1}{C_p} + \frac{1}{C^1}$.Given $C_{eq} = 6C$, we have:$\frac{1}{6C} = \frac{1}{9C} + \frac{1}{C^1}$.$\frac{1}{C^1} = \frac{1}{6C} - \frac{1}{9C}$.$\frac{1}{C^1} = \frac{3 - 2}{18C} = \frac{1}{18C}$.Therefore, $C^1 = 18C$.

If the equivalent capacitance between points $A$ and $B$ of the combination of capacitors shown in the figure is $6C$, then the capacitor $C^1$ is: (in $C$)

Similar Questions

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

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

Three capacitors of capacity $C_1, C_2, C_3$ are connected in series. Their total capacity will be

An infinite number of capacitors with capacitances $C, 4C, 16C, ... \infty$ are connected in series. What is the equivalent capacitance of the combination in terms of $C$?

Seven capacitors,each of capacitance $2 \mu F$,are to be connected to obtain an equivalent capacitance of $\left(\frac{10}{11}\right) \mu F$. Which of the following combinations is possible?

Vedclass Test Series

Exam Paper Generator

Online Exam Module