In the given circuit,an ideal voltmeter conne | vedclass

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

Question

(B) The circuit consists of two cells of $1.5\,V$ each in series,so the total $EMF$ is $E_{eq} = 1.5 + 1.5 = 3\,V$. The total internal resistance is $

Vedclass · Accepted Answer

$0.5$

Vedclass · Answer

(B) The circuit consists of two cells of $1.5\,V$ each in series,so the total $EMF$ is $E_{eq} = 1.5 + 1.5 = 3\,V$. The total internal resistance is $r_{eq} = r + r = 2r$.The external circuit has a $15\,\Omega$ and $10\,\Omega$ resistor in parallel,which are in series with a $2\,\Omega$ resistor.The equivalent resistance of the parallel part is $R_p = \frac{15 	imes 10}{15 + 10} = \frac{150}{25} = 6\,\Omega$.The total external resistance is $R_{ext} = 6 + 2 = 8\,\Omega$.The total resistance of the circuit is $R_{total} = 8 + 2r$.The total current in the circuit is $i = \frac{E_{eq}}{R_{total}} = \frac{3}{8 + 2r}$.The voltmeter is connected across the $10\,\Omega$ resistor,which is part of the parallel combination. The voltage across the parallel combination is $V_p = i 	imes R_p = i 	imes 6$.Given $V_p = 2\,V$,we have $2 = \frac{3}{8 + 2r} 	imes 6$.$2 = \frac{18}{8 + 2r} \Rightarrow 16 + 4r = 18 \Rightarrow 4r = 2 \Rightarrow r = 0.5\,\Omega$.

In the given circuit,an ideal voltmeter connected across the $10\,\Omega$ resistance reads $2\,V$. The internal resistance $r$ of each cell is ................... $\Omega$.

Similar Questions

For the given circuit,in the steady state,$\left| V_{B}-V_{D}\right| = .......V.$

If the ammeter in the given figure shows a reading of $2 \, A$,find the value of $R$ in $\Omega$.

The potential drop across the $3 \,\Omega$ resistor is ............... $V$.

Two wires of resistance $R_1$ and $R_2$ have temperature coefficients of resistance $\alpha_1$ and $\alpha_2$,respectively. These are joined in series. The effective temperature coefficient of resistance is

Two electric bulbs,rated at $(25\, W, 220\, V)$ and $(100\, W, 220\, V)$,are connected in series across a $220\, V$ voltage source. If the $25\, W$ and $100\, W$ bulbs draw powers $P_1$ and $P_2$ respectively,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module