For what value of C in mu F in the given figu | vedclass

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

Question

(B) Let the equivalent capacitance of the infinite ladder network be $C_{eq}$.Since the network is infinite,adding one more section will not change th

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(B) Let the equivalent capacitance of the infinite ladder network be $C_{eq}$.Since the network is infinite,adding one more section will not change the equivalent capacitance,so the capacitance of the network to the right of the first section is also $C_{eq}$.The circuit can be represented as a $4 \, \mu F$ capacitor in series with the parallel combination of a $2 \, \mu F$ capacitor and the equivalent capacitance $C_{eq}$.Thus,$C_{eq} = \frac{4 	imes (2 + C_{eq})}{4 + (2 + C_{eq})}$.Given that the total equivalent capacitance is $C$,we have $C = \frac{4(2 + C)}{6 + C}$.$C(6 + C) = 8 + 4C$$6C + C^2 = 8 + 4C$$C^2 + 2C - 8 = 0$$(C + 4)(C - 2) = 0$.Since capacitance cannot be negative,$C = 2 \, \mu F$.

For what value of $C$ in $\mu F$ in the given figure,the equivalent capacitance between $A$ and $B$ becomes independent of the number of repeating sections?

Similar Questions

When a soap bubble is charged,its size:

$A$ capacitor of $50 \,\mu {F}$ is connected in a circuit as shown in the figure. The charge on the upper plate of the capacitor is $......\,\mu {C} .$

Minimum number of $2\,\mu F$ and $250\, V$ capacitors required to make a combination of $12\,\mu F$ and $500\, V$ is:

Three identical capacitors (each of capacitance $C$,initial charge zero) are connected in series and charged by a battery of emf $E$. After removing the battery,two resistors are connected to these capacitors as shown in the figure. The heat dissipated in each of the resistors is:

When a parallel plate capacitor is connected to a source of constant potential difference,

Vedclass Test Series

Exam Paper Generator

Online Exam Module