Two capacitors of 100 mu F and 50 mu F are co | vedclass

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

Question

(D) When two capacitors are connected in parallel,the total charge $Q_{total}$ is the sum of the individual charges,and the total capacitance $C_{eq}$

Vedclass · Accepted Answer

$\frac{80}{3} 	ext{ V}$

Vedclass · Answer

(D) When two capacitors are connected in parallel,the total charge $Q_{total}$ is the sum of the individual charges,and the total capacitance $C_{eq}$ is the sum of the individual capacitances.Given: $C_1 = 100 \mu F$,$V_1 = 20 	ext{ V}$,$C_2 = 50 \mu F$,$V_2 = 40 	ext{ V}$.Charge on the first capacitor: $Q_1 = C_1 V_1 = 100 \mu F 	imes 20 	ext{ V} = 2000 \mu C$.Charge on the second capacitor: $Q_2 = C_2 V_2 = 50 \mu F 	imes 40 	ext{ V} = 2000 \mu C$.Total charge: $Q_{total} = Q_1 + Q_2 = 2000 \mu C + 2000 \mu C = 4000 \mu C$.Equivalent capacitance: $C_{eq} = C_1 + C_2 = 100 \mu F + 50 \mu F = 150 \mu F$.The common potential $V$ is given by $V = \frac{Q_{total}}{C_{eq}}$.$V = \frac{4000 \mu C}{150 \mu F} = \frac{400}{15} 	ext{ V} = \frac{80}{3} 	ext{ V}$.

Similar Questions

Consider the situation shown in the figure. The switch $S$ is kept open for a long time and then closed. Find the charge that flows through the battery when $S$ is closed.

There are two identical capacitors. The first one is uncharged and filled with a dielectric of constant $K$,while the second one is charged to potential $V$ and has air between its plates. If the two capacitors are joined in parallel,the common potential will be:

Two conducting spheres of radii $5\, cm$ and $10\, cm$ are given a charge of $15\,\mu C$ each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is.......$\mu C$.

$A$ $3\ \mu F$ capacitor is charged to a potential of $300\ V$ and a $2\ \mu F$ capacitor is charged to $200\ V$. They are then connected in parallel with plates of opposite polarity joined together. What is the amount of charge (in $\mu C$) that flows through the connecting wires?

Vedclass Test Series

Exam Paper Generator

Online Exam Module