The minimum number of capacitors of 2,mu F ca | vedclass

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

Question

(B) To obtain a total capacitance of $5\,\mu F$ using $2\,\mu F$ capacitors,we can use a combination of series and parallel connections.Consider the a

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(B) To obtain a total capacitance of $5\,\mu F$ using $2\,\mu F$ capacitors,we can use a combination of series and parallel connections.Consider the arrangement shown in the image:$1$. Two capacitors of $2\,\mu F$ are connected in parallel. Their equivalent capacitance is $C_1 = 2\,\mu F + 2\,\mu F = 4\,\mu F$.$2$. Two capacitors of $2\,\mu F$ are connected in series. Their equivalent capacitance is $C_2 = \frac{2\,\mu F 	imes 2\,\mu F}{2\,\mu F + 2\,\mu F} = 1\,\mu F$.$3$. Now,connecting $C_1$ and $C_2$ in parallel,the total equivalent capacitance is $C_{eq} = C_1 + C_2 = 4\,\mu F + 1\,\mu F = 5\,\mu F$.Thus,the total number of capacitors required is $2 + 2 = 4$.

The minimum number of capacitors of $2\,\mu F$ capacitance each required to obtain a resultant capacitance of $5\,\mu F$ is

Similar Questions

The equivalent capacitance between points $A$ and $B$ as shown in the figure is:

Four capacitors are connected as shown in the figure. If $C_1, C_2, C_3$ and $C_4$ are in the ratio of $1: 2: 3: 4$,then the ratio of the charges on the capacitors $C_2$ and $C_4$ is

All the six capacitors shown in the circuit are identical. Each can withstand a maximum of $200 \, V$ between its terminals. The maximum voltage that can be applied safely between $A$ and $B$ is.....$V$

Two capacitors each of capacity $2\,\mu F$ are connected in parallel. This system is connected in series with a third capacitor of $12\,\mu F$ capacity. The equivalent capacity of the system will be......$\mu F$

Figure $(a)$ shows two capacitors connected in series and joined to a battery. The graph in figure $(b)$ shows the variation in potential as one moves from left to right on the branch containing the capacitors. If the graph represents the potential across the capacitors,then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module