Cells: EMF, Internal Resistance & Combinations

A resistor is connected to a battery of 12 V emf and internal resistance $2\ \Omega$. If the current in the circuit is 0.6 A, the terminal voltage of the battery is:

When an external resistance of $5\ \Omega$ is connected across terminals of a cell, a current of 0.25 A flows through it. When the $5\ \Omega$ resistor is replaced by a $2\ \Omega$ resistor, a current of 0.5 A flows through it. The internal resistance of the cell is $\underline{\hspace{3em}}\ \Omega$.

A battery with EMF $E$ and internal resistance $r$ is connected across a resistance $R$. The power consumption in $R$ will be maximum when:

In an electric circuit shown, each cell has e.m.f. $2\text{ V}$ and internal resistance $1\ \Omega$. The external resistance is $2\ \Omega$. The value of current (in A) is

For the two cells having same EMF $E$ and internal resistance $r$, the current passing through the external resistor $6\ \Omega$ is same when both the cells are connected either in parallel or in series. The value of internal resistance $r$ is $\underline{\hspace{3em}}\ \Omega$.

Two cells of emfs 1 V and 2 V and internal resistance $2\ \Omega$ and $1\ \Omega$, respectively connected in parallel, gave a current of 1 A through an external resistance. If the polarity of one cell is reversed, then value of current through the external resistance will be $\frac{\alpha}{5}\text{ A}$. The value of $\alpha$ is ______.

Two cells of emfs 1 V and 2 V and internal resistances $2\ \Omega$ and $1\ \Omega$, respectively, are connected in series with an external resistance of $6\ \Omega$. The total current in the circuit is $I_1$. Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is $I_2$. The value of $\left(\frac{I_1}{I_2}\right)$ is $\frac{x}{3}$. The value of $x$ is___________.

Two cells $E_1$ and $E_2$ having equal e.m.f ' $E$ ' and internal resistances $r_1$ and $r_2\ (r_1 > r_2)$ respectively are connected in series. This combination is connected to an external resistance ' R '. It is observed that the potential difference across the cell $E_1$ becomes zero. The value of $R$ will be

Given below are two statements:

Statement-I: The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs.

Statement-II: The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries.

In the light of the above statements, choose the correct answer from the options given below.

The terminal voltage of the battery, whose emf is $10\text{ V}$ and internal resistance $1\ \Omega$, when connected through an external resistance of $4\ \Omega$ as shown in the figure is:

In the given circuit, the terminal potential difference of the cell is:

Two cells are connected in opposition as shown. Cell $E_1$ is of $8\text{ V}$ emf and $2\ \Omega$ internal resistance; the cell $E_2$ is of $2\text{ V}$ emf and $4\ \Omega$ internal resistance. The terminal potential difference of cell $E_2$ is __________ V.

A voltmeter of resistance $150\ \Omega$ connected across a cell of e.m.f. $3\text{ V}$ reads $2.5\text{ V}$. What is the internal resistance of the cell?

Two cells $E_1$ and $E_2$ having equal EMF '$E$' and internal resistances $r_1$ and $r_2\ (r_1 > r_2)$ respectively are connected in series. This combination is connected to an external resistance '$R$'. It is observed that the potential difference across the cell $E_1$ becomes zero. The value of '$R$' will be

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'?

Two identical cells each of emf $1.5\text{ V}$ are connected in series across a $10\ \Omega$ resistance. An ideal voltmeter connected across $10\ \Omega$ resistance reads $1.5\text{ V}$. The internal resistance of each cell is __________ $\Omega$.

Two identical cells, when connected either in parallel or in series gives same current in an external resistance $5\ \Omega$. The internal resistance of each cell will be ___________ $\Omega$.

Two cells are connected between points A and B as shown. Cell 1 has emf of 12 V and internal resistance of 3$\Omega$. Cell 2 has emf of 6V and internal resistance of 6$\Omega$. An external resistor R of 4$\Omega$ is connected across A and B. The current flowing through R will be ____________ A.

A cell of emf 4 V and internal resistance 0.5 $\Omega$ is connected to a 7.5 $\Omega$ external resistance. The terminal potential difference of the cell is

Two sources of equal emfs are connected in series. This combination is connected to an external resistance R. The internal resistances of the two sources are $r_1$ and $r_2\ (r_1 > r_2)$. If the potential difference across the source of internal resistance $r_1$ is zero, then the value of R will be:

The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of 2$\Omega$. The value of internal resistance of each cell is

Two cells of same emf but different internal resistances r1 and r2 are connected in series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is:

Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each of resistance 20 $\Omega$. A voltmeter connected in the circuit measures 1.2 V. The internal resistance of each cell is:

A cell sends a current through a resistance $4\ \Omega$ for time $t$ and sends current through another resistance $16\ \Omega$ for the same time $t$. If the same amount of heat is developed in both the resistances, then the internal resistance of the cell is _____ $\Omega$

A cell E1 of emf 6V and internal resistance 2$\Omega$ is connected with another cell E2 of emf 4V and internal resistance 8$\Omega$ (as shown in the figure). The potential difference across points X and Y is:

In an electric circuit, a cell of certain emf provides a potential difference of 1.25 V across a load resistance of 5$\Omega$. However, it provides a potential difference of 1 V across a load resistance of 2$\Omega$. The emf of the cell is given by $\frac{x}{10}\text{ V}$. Then the value of x is ______________.

Five identical cells each of internal resistance 1$\Omega$ and emf 5V are connected in series and in parallel with an external resistance 'R'. For what value of 'R', current in series and parallel combination will remain the same?

Two cells of emf 2E and E with internal resistance r1 and r2 respectively are connected in series to an external resistor R (see figure). The value of R, at which the potential difference across the terminals of the first cell becomes zero is

First, a set of n equal resistors of 10 $\Omega$ each are connected in series to a battery of emf 20V and internal resistance 10$\Omega$. A current I is observed to flow. Then, the n resistors are connected in parallel to the same battery. It is observed that the current is increased 20 times, then the value of n is ................

The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20$\Omega$ and 5$\Omega$, is connected to the parallel combination of two resistors 30$\Omega$ and R $\Omega$. The voltage difference across the battery of internal resistance 20$\Omega$ is zero, the value of R (in $\Omega$) is: _______

A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5 V, the power dissipated within the internal resistance is:

A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to the external resistance will be maximum when :-

To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The measured voltage is plotted as a function of the current, and the following graph is obtained:

If V0 is almost zero, identify the correct statement:

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

A set of n equal resistors, of value R each, are connected in series to a battery of emf E and internal resistance R. The current drawn is I. Now, the n resistors are connected in parallel to the same battery. Then the current drawn from battery becomes 10I. The value of n is

A battery consists of a variable number n of identical cells (having internal resistance r each) which are connected in series. The terminals of the battery are short-circuited and the current I is measured. Which of the graphs shows the correct relationship between I and n?

Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load resistor of 10 $\Omega$. The internal resistances of the two batteries are 1 $\Omega$ and 2 $\Omega$ respectively. The voltage across the load lies between:

In the circuit shown, the resistance r is a variable resistance. If for r = fR, the heat generation in r is maximum then the value of f is:

A 10V battery with internal resistance 1$\Omega$ and a 15V battery with internal resistance 0.6 $\Omega$ are connected in parallel to a voltmeter (see figure). The reading in the voltmeter will be close to:

A d.c. main supply of e.m.f. 220 V is connected across a storage battery of e.m.f. 200 V through a resistance of 1 $\Omega$. The battery terminals are connected to an external resistance 'R'. The minimum value of 'R', so that a current passes through the battery to charge it is:

The internal resistance of a 2.1 V cell which gives a current of 0.2 A through a resistance of 10 $\Omega$ is

A dc source of emf $E_1 = 100$ V and internal resistance $r = 0.5\ \Omega$, a storage battery of emf $E_2 = 90$ V and an external resistance R are connected as shown in figure. For what value of R no current will pass through the battery?

A cell having an emf $\varepsilon$ and internal resistance r is connected across a variable external resistance R. As the resistance R is increased, the plot of potential difference V across R is given by

A current of 2 A flows through a 2 $\Omega$ resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9 $\Omega$ resistor. The internal resistance of the battery is

A student measures the terminal potential difference (V) of a cell (of emf $\varepsilon$ and internal resistance r) as a function of the current (I) flowing through it. The slope, and intercept, of the graph between V and I, then respectively, equal

A $5\text{ V}$ battery with internal resistance $2\ \Omega$ and a $2\text{ V}$ battery with internal resistance $1\ \Omega$ are connected to a $10\ \Omega$ resistor as shown in the figure.

The current in the $10\ \Omega$ resistor is

Two cells, having the same e.m.f. are connected in series through an external resistance R. Cells have internal resistances r1 and r2 (r1 > r2) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of R is

An energy source will supply a constant current into the load if its internal resistance is

Two batteries, one of emf 18 volts and internal resistance 2 $\Omega$ and the other of emf 12 volts and internal resistance 1 $\Omega$, are connected as shown. The voltmeter V will record a reading of

Two sources of equal $\text{emf}$ are connected to an external resistance $R.$ The internal resistances of the two sources are $R_1$ and $R_2\ (R_2 > R_1).$ If the potential difference across the source having internal resistance $R_2$ is zero, then

For a cell terminal potential difference is 2.2V when circuit is open and reduce to 1.8 V when cell is connected to a resistance of R = 5 $\Omega$. Determine internal resistance of cell (r)

A cell has an emf $1.5\text{ V}$. When connected across an external resistance of $2\ \Omega$, the terminal potential difference falls to $1.0\text{ V}$. The internal resistance of the cell is

The internal resistance of a cell of emf $2\text{ V}$ is $0.1\ \Omega$. It is connected to a resistance of $3.9\ \Omega$. The voltage across the cell will be

A battery of e.m.f $10\text{ V}$ and internal resistance $0.5\ \Omega$ is connected across a variable resistance $R$. The value of $R$ for which the power delivered in it is maximum is given by

Two identical batteries each of e.m.f $2\text{ V}$ and internal resistance $1\ \Omega$ are available to produce heat in an external resistance by passing a current through it. The maximum power that can be developed across $R$ using these batteries is