In the circuit shown in the figure,the potent | vedclass

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

Question

(D) The capacitors $3\,\mu F$ and $6\,\mu F$ are connected in parallel. Their equivalent capacitance is $C_p = 3\,\mu F + 6\,\mu F = 9\,\mu F$.Now,thi

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(D) The capacitors $3\,\mu F$ and $6\,\mu F$ are connected in parallel. Their equivalent capacitance is $C_p = 3\,\mu F + 6\,\mu F = 9\,\mu F$.Now,this equivalent capacitor $C_p$ is in series with the $4.5\,\mu F$ capacitor.The total capacitance $C_{eq}$ of the circuit is given by $\frac{1}{C_{eq}} = \frac{1}{4.5} + \frac{1}{9} = \frac{2+1}{9} = \frac{3}{9} = \frac{1}{3}$.So,$C_{eq} = 3\,\mu F$.The total charge $Q$ supplied by the $12\,V$ battery is $Q = C_{eq} 	imes V_{total} = 3\,\mu F 	imes 12\,V = 36\,\mu C$.Since the $4.5\,\mu F$ capacitor is in series with the combination,the same charge $Q = 36\,\mu C$ flows through it.The potential difference $V_{4.5}$ across the $4.5\,\mu F$ capacitor is $V_{4.5} = \frac{Q}{C} = \frac{36\,\mu C}{4.5\,\mu F} = 8\,V$.

In the circuit shown in the figure,the potential difference across the $4.5\,\mu F$ capacitor is.......$V$.

Similar Questions

In the circuit shown,a potential difference of $30\, V$ is applied across $AB$. The potential difference between the points $M$ and $N$ is....$V$

The equivalent capacitance between points $a$ and $b$ in the given circuit is ........ $\mu F$.

Three capacitors are connected to a $D.C.$ source of $100 \; V$ as shown in the figure. If the charges accumulated on plates $a, b, c, d, e,$ and $f$ are ${q_a}, {q_b}, {q_c}, {q_d}, {q_e},$ and ${q_f}$ respectively,then:

Four capacitors of equal capacity have an equivalent capacitance $C_{1}$ when connected in series and an equivalent capacitance $C_{2}$ when connected in parallel. The ratio $\frac{C_{2}}{C_{1}}$ is:

Find the equivalent capacitance across $A$ and $B$ in $\mu F$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module