In the given circuit,the reading of the ideal | vedclass

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

Question

(A) Let the current in the circuit be $I$. The circuit consists of two cells of $EMF$ $E$ connected in series,but with opposing polarities. The total

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) Let the current in the circuit be $I$. The circuit consists of two cells of $EMF$ $E$ connected in series,but with opposing polarities. The total $EMF$ of the circuit is $E_{net} = E - E = 0$. However,looking at the diagram,the cells are connected such that they support each other in driving current through the loop. The total $EMF$ is $2E$ and the total resistance is $R_{total} = r + 1 + 2 = r + 3$.Using Ohm's law,the current $I = \frac{2E}{r+3}$.The voltmeter is connected across the cell with internal resistance $r$. The terminal voltage $V$ across this cell is given by $V = E - Ir$.Given that $V = \frac{E}{2}$,we have $\frac{E}{2} = E - Ir$,which implies $Ir = \frac{E}{2}$,so $I = \frac{E}{2r}$.Equating the two expressions for current: $\frac{2E}{r+3} = \frac{E}{2r}$.$4r = r + 3 \implies 3r = 3 \implies r = 1 \ \Omega$.

In the given circuit,the reading of the ideal voltmeter is $\frac{E}{2}$. Find the internal resistance $r$ of the cell in $\Omega$.

Similar Questions

In the circuit shown,the capacitance of the capacitor is $2\,\mu F$. Find the current flowing through the $2\,\Omega$ resistor in $A$.

Consider the following circuit given below. The bulb will light up,if

If $X, Y$ and $Z$ in the figure are identical lamps,which of the following changes to the brightness of the lamps occur when switch $S$ is closed?

Assertion : In a simple battery circuit,the point of the lowest potential is the negative terminal of the battery.
Reason : The current flows towards the point of the higher potential,as it does in such a circuit from the negative to the positive terminal.

Two identical bulbs,each rated $500 \, W$ and $220 \, V$,are connected in series to a $110 \, V$ supply. What is the power consumed by each bulb?

Vedclass Test Series

Exam Paper Generator

Online Exam Module