Two batteries,one of e.m.f. 12 text{ V} and i | vedclass

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

Question

(B) The formula for the equivalent e.m.f. of the parallel combination of batteries is given by $\varepsilon_{eq} = r_{eq} \left( \frac{\varepsilon_1}{

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(B) The formula for the equivalent e.m.f. of the parallel combination of batteries is given by $\varepsilon_{eq} = r_{eq} \left( \frac{\varepsilon_1}{r_1} + \frac{\varepsilon_2}{r_2} ight)$.First,we calculate the equivalent internal resistance $r_{eq}$:$\frac{1}{r_{eq}} = \frac{1}{r_1} + \frac{1}{r_2} = \frac{1}{2} + \frac{1}{1} = \frac{3}{2} \Omega^{-1}$.Therefore,$r_{eq} = \frac{2}{3} \Omega$.Now,substitute the values into the formula for equivalent e.m.f.:$\varepsilon_{eq} = \frac{2}{3} \left( \frac{12}{2} + \frac{6}{1} ight) = \frac{2}{3} (6 + 6) = \frac{2}{3} 	imes 12 = 8 	ext{ V}$.The voltmeter measures the potential difference across the parallel combination,which is equal to the equivalent e.m.f. of the circuit.Thus,the reading of the voltmeter is $8 	ext{ V}$.

Two batteries,one of e.m.f. $12 \text{ V}$ and internal resistance $2 \Omega$ and other of e.m.f. $6 \text{ V}$ and internal resistance $1 \Omega$,are connected as shown in the figure. What will be the reading of the voltmeter '$V$' (in $\text{ V}$)?

Similar Questions

Electromotive force is the force,which is able to maintain a constant

$A$ cell sends a current through a resistance $R$ for time $t$. Now the same cell sends current through another resistance $r$ for the same time. If the same amount of heat is developed in both the resistances,then the internal resistance of the cell is:

Why is the combination of cells done? Write its methods.

When two identical cells are connected either in series or in parallel across a $2 \ \Omega$ resistor,they send the same current through it. The internal resistance of each cell is: (in $\Omega$)

Eight identical cells,each having an electromotive force $E$ and internal resistance $r$,are connected in series to form a closed circuit. An ideal voltmeter is connected across $2$ cells. The voltmeter will read ........ $E$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module