Two capacitors C_1 and C_2 in a circuit are j | vedclass

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

Question

(C) Since $C_1$ and $C_2$ are connected in series,the charge on $C_1$ must be equal to the charge on $C_2$ because the junction $D$ is isolated.Let $V

Vedclass · Accepted Answer

$\frac{C_1V_1 + C_2V_2}{C_1 + C_2}$

Vedclass · Answer

(C) Since $C_1$ and $C_2$ are connected in series,the charge on $C_1$ must be equal to the charge on $C_2$ because the junction $D$ is isolated.Let $V_D$ be the potential at point $D$.The charge on capacitor $C_1$ is $Q_1 = C_1(V_1 - V_D)$.The charge on capacitor $C_2$ is $Q_2 = C_2(V_D - V_2)$.Since $Q_1 = Q_2$,we have:$C_1(V_1 - V_D) = C_2(V_D - V_2)$$C_1V_1 - C_1V_D = C_2V_D - C_2V_2$$C_1V_1 + C_2V_2 = V_D(C_1 + C_2)$$V_D = \frac{C_1V_1 + C_2V_2}{C_1 + C_2}$

Two capacitors $C_1$ and $C_2$ in a circuit are joined as shown in the figure. The potential of point $A$ is $V_1$ and that of $B$ is $V_2$. The potential of point $D$ will be

Similar Questions

If $\theta$ lies in the first quadrant and $5 \tan \theta = 4$,then $\frac{5 \sin \theta - 3 \cos \theta}{\sin \theta + 2 \cos \theta}$ is equal to

$A$ uniform cube is subjected to volume compression. If each side is decreased by $1\%,$ then the bulk strain is

The length of the tangent drawn to the circle $x^2+y^2-2x+4y-11=0$ from the point $(1,3)$ is:

The locomotory organ of an earthworm is ..........

Vedclass Test Series

Exam Paper Generator

Online Exam Module