In the given circuit,C_1=2,mu F, C_2=0.2,mu F | vedclass

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

Question

(A) First,simplify the circuit. Capacitors $C_3, C_4,$ and $C_5$ are in series. Their equivalent capacitance $C_{345}$ is given by $\frac{1}{C_{345}}

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) First,simplify the circuit. Capacitors $C_3, C_4,$ and $C_5$ are in series. Their equivalent capacitance $C_{345}$ is given by $\frac{1}{C_{345}} = \frac{1}{C_3} + \frac{1}{C_4} + \frac{1}{C_5} = \frac{1}{2} + \frac{1}{4} + \frac{1}{2} = \frac{2+1+2}{4} = \frac{5}{4}$. Thus,$C_{345} = 0.8\,\mu F$.Now,$C_{345}$ is in parallel with $C_2$. Their equivalent capacitance $C_{2345} = C_2 + C_{345} = 0.2 + 0.8 = 1.0\,\mu F$.This combination is in series with $C_1$ and $C_6$. The total equivalent capacitance $C_{eq}$ is $\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_{2345}} + \frac{1}{C_6} = \frac{1}{2} + \frac{1}{1} + \frac{1}{2} = 2\,\mu F^{-1}$. So,$C_{eq} = 0.5\,\mu F$.The total charge drawn from the $10\,V$ source is $Q = C_{eq} 	imes V = 0.5\,\mu F 	imes 10\,V = 5\,\mu C$.This charge $Q$ flows through the series combination of $C_1, C_{2345},$ and $C_6$. The potential difference across the parallel combination $(C_{2345})$ is $V_{2345} = \frac{Q}{C_{2345}} = \frac{5\,\mu C}{1\,\mu F} = 5\,V$.The charge on the series branch containing $C_4$ is $Q' = C_{345} 	imes V_{2345} = 0.8\,\mu F 	imes 5\,V = 4\,\mu C$.

In the given circuit,$C_1=2\,\mu F, C_2=0.2\,\mu F, C_3=2\,\mu F, C_4=4\,\mu F, C_5=2\,\mu F, C_6=2\,\mu F$. The charge stored on capacitor $C_4$ is $.....\mu C$.

Similar Questions

Find the charge on the capacitor $C$ in the following circuit in $\mu C$.

$n$ small drops, each of capacitance $C$, coalesce to form a single large drop. What is the ratio of the energy stored in the large drop to the energy stored in each small drop?

$n$ small drops of the same size are charged to $V$ volt each. If they coalesce to form a single large drop,then its potential will be:

The figure shows a diagonal symmetric arrangement of capacitors and a battery. If the potential of $C$ is zero,then

Calculate the charge on the capacitor in the steady state. (in $\mu C$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module