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) The capacitors $C_1$ and $C_2$ are connected in series between points $A$ and $B$.Let $V_D$ be the potential at point $D$.The charge $q$ on both c

Vedclass · Accepted Answer

$\frac{C_1 V_1 + C_2 V_2}{C_1 + C_2}$

Vedclass · Answer

(C) The capacitors $C_1$ and $C_2$ are connected in series between points $A$ and $B$.Let $V_D$ be the potential at point $D$.The charge $q$ on both capacitors must be the same because they are in series.The potential difference across $C_1$ is $V_1 - V_D = \frac{q}{C_1}$.The potential difference across $C_2$ is $V_D - V_2 = \frac{q}{C_2}$.From these,we have $q = C_1(V_1 - V_D) = C_2(V_D - V_2)$.Expanding this,$C_1 V_1 - C_1 V_D = C_2 V_D - C_2 V_2$.Rearranging to solve for $V_D$,we get $C_1 V_1 + C_2 V_2 = V_D(C_1 + C_2)$.Therefore,$V_D = \frac{C_1 V_1 + C_2 V_2}{C_1 + C_2}$.

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

It includes multicellular,aquatic or terrestrial,photosynthetic eukaryotic organisms.

If the force is given by $F = at + bt^2$,where $t$ is time,the dimensions of $a$ and $b$ are:

$A$ homogeneous equation of second degree in $x$ and $y$ represents which of the following?

Chemical $A$ is used for water softening to remove temporary hardness. $A$ reacts with sodium carbonate to generate caustic soda. When $CO_2$ is bubbled through $A$,it turns cloudy,what is $A$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module