In the following diagram,the charge and poten | vedclass

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

Question

(C) $1$. First,simplify the circuit by identifying nodes. Let the potential at the left terminal be $V_A = 0\,V$ and at the right terminal be $V_B = 4

Vedclass · Accepted Answer

$214\,\mu C, 27\,V$

Vedclass · Answer

(C) $1$. First,simplify the circuit by identifying nodes. Let the potential at the left terminal be $V_A = 0\,V$ and at the right terminal be $V_B = 40\,V$.$2$. By analyzing the circuit diagram,the capacitors $6\,\mu F$,$4\,\mu F$,and $8\,\mu F$ are connected in parallel between nodes $A$ and $C$. The equivalent capacitance of this parallel combination is $C_{AC} = 6 + 4 + 8 = 18\,\mu F$.$3$. The remaining part of the circuit between nodes $C$ and $B$ consists of a $36\,\mu F$ capacitor. (The other capacitors in the middle section are shorted or effectively in parallel with node $C$ depending on the configuration,but the simplified equivalent circuit shows $C_{AC} = 18\,\mu F$ in series with $C_{CB} = 36\,\mu F$).$4$. The total voltage $40\,V$ is divided between $C_{AC}$ and $C_{CB}$ in inverse proportion to their capacitances: $V_{AC} = V_{total} 	imes \frac{C_{CB}}{C_{AC} + C_{CB}}$.$5$. $V_{AC} = 40 	imes \frac{36}{18 + 36} = 40 	imes \frac{36}{54} = 40 	imes \frac{2}{3} \approx 26.67\,V \approx 27\,V$.$6$. Since the $8\,\mu F$ capacitor is in parallel with the $6\,\mu F$ and $4\,\mu F$ capacitors,the potential difference across it is $V_{AC} \approx 27\,V$.$7$. The charge on the $8\,\mu F$ capacitor is $Q = C 	imes V = 8\,\mu F 	imes 26.67\,V \approx 213.36\,\mu C \approx 214\,\mu C$.

In the following diagram,the charge and potential difference across the $8\,\mu F$ capacitor will be nearly:

Similar Questions

$64$ drops,each having the capacity $C$ and potential $V$,are combined to form a big drop. If the charge on each small drop is $q$,then the charge on the big drop will be: (in $,q$)

From a supply of identical capacitors rated $8 \mu F, 250 V$,the minimum number of capacitors required to form a composite $16 \mu F, 1000 V$ capacitor is:

For the circuit shown,which of the following statements is true?

Four capacitors of capacitance $10\,\mu F$ and a battery of $200\, V$ are arranged as shown. How much charge will flow through $AB$ after the switch $S$ is closed? (in $\mu C$)

Three capacitors $C_{1} = 2 \, \mu F$,$C_{2} = 6 \, \mu F$,and $C_{3} = 12 \, \mu F$ are connected as shown in the figure. Find the ratio of the charges on capacitors $C_{1}$,$C_{2}$,and $C_{3}$ respectively.

Vedclass Test Series

Exam Paper Generator

Online Exam Module