In the steady state,what is the potential dif | vedclass

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

Question

(D) In the steady state,no current flows through the capacitors. Therefore,the resistors in series with the capacitor network do not affect the potent

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(D) In the steady state,no current flows through the capacitors. Therefore,the resistors in series with the capacitor network do not affect the potential distribution across the capacitors.The total potential difference across the capacitor network between points $A$ and $C$ is $100 \ V$.From the simplified circuit diagram (as shown in the solution image),the capacitor branch $AB$ has a capacitance of $C_1 = 6 \ \mu F$ and the branch $BC$ has a capacitance of $C_2 = 2 \ \mu F$.Since the capacitors are in series,the potential difference across each capacitor is inversely proportional to its capacitance: $V \propto \frac{1}{C}$.Thus,$\frac{V_{AB}}{V_{BC}} = \frac{C_2}{C_1} = \frac{2 \ \mu F}{6 \ \mu F} = \frac{1}{3}$.This implies $V_{BC} = 3 V_{AB}$.Since $V_{AC} = V_{AB} + V_{BC} = 100 \ V$,we have $V_{AB} + 3 V_{AB} = 100 \ V$.$4 V_{AB} = 100 \ V$,which gives $V_{AB} = 25 \ V$.

In the steady state,what is the potential difference between points $A$ and $B$ in volts? (All capacitors are in $\mu F$.)

Similar Questions

$A$ capacitor of $2\,\mu F$ capacitance is charged steadily from $0$ to $5\,C$. Which of the following graphs correctly represents the variation of potential difference across its plates with respect to the charge on the capacitor?

Three isolated equal charges are placed at the three corners of an equilateral triangle as shown in the figure. The statement which is true for the net electric potential $V$ and net electric field intensity $E$ at the centre of the triangle is

What is the effective capacitance between points $X$ and $Y$ in the given circuit? (All capacitors are in $\mu F$)

Minimum number of $2\,\mu F$ and $250\, V$ capacitors required to make a combination of $12\,\mu F$ and $500\, V$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module