In the circuit shown below, the cell has an $e.m.f.$ of $10\,V$ and internal resistance of $1\, ohm$. The other resistances are shown in the figure. The potential difference ${V_A} - {V_B}$ is ................ $V$
Medium
Download our app for free and get started
Equivalent external resistance of the given circuit ${R_{eq}} = 4\,\Omega $
Current given by the cell $i = \frac{E}{{{R_{eq}} + r}} = \frac{{10}}{{(4 + 1)}} = 2\,A$
Hence, $({V_A} - {V_B}) = \frac{i}{2} \times ({R_2} - {R_1}) = \frac{2}{2}(2 - 4) = - 2\,V.$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1In a potentiometer arrangement. $E_1$ is the cell establishing current in primary circuit. $E_2$ is the cell to be measured. $AB$ is the potentiometer wire and $G$ is a galvanometer. Which of the following are the essential condition for balance to be obtained.View Solution
- 2In the circuit shown the cells are ideal and of equal emfs, the capacitance of the capacitor is $C$ and the resistance of the resistor is $R. X$ is first joined to $Y$ and then to $Z$. After a long time, the total heat produced in the resistor will beView Solution
- 3When the switch $S$, in the circuit shown, is closed, then the value of current $i$ will be ................. $A$View Solution
- 4What is the current $(i)$ in the circuit as shown in figure ........... $A$View Solution
- 5Two batteries $A$ and $B$ each of $e.m.f.$ $2\, V$ are connected in series to an external resistance $R = 1 \,ohm$. If the internal resistance of battery $A$ is $1.9\, ohms$ and that of $B$ is $0.9\, ohm$, what is the potential difference between the terminals of battery $A$ ............. $V$View Solution
- 6A battery of $emf$ $10\,V$ is connected to resistances as shown in the figure. The potential difference between $A$ and $B,\,\,(V_A -V_B)$ is ................ $V$View Solution
- 7A conducting wire of length $ l$ area of cross-section $A$ and electric resistivity $\rho$ is connected between the terminals of a battery. $A$ potential difference $V$ is developed between its ends, causing an electric current.If the length of the wire of the same material is doubled and the area of cross-section is halved, the resultant current would beView Solution
- 8Which of the four resistances $P, Q, R$ and $S$ generate the greatest amount of heat when a current flows from $A$ to $B$ ?View Solution
- 9The figure shows a network of four resistances and three batteries The current through the branch $CF$ is ............... $A$View Solution
- 10Find the charge in steady state of the capacitor. (in $nC)$View Solution
