A $5\, V$ battery with internal resistance $2\, \Omega$ and a $2\,V$ battery internal resistance $1\, \Omega$ are connected to a $10\, \Omega$ resistor as shown in the figure. The current in the $10\, \Omega$ resistor is :-
Medium
Download our app for free and get started
$\mathrm{E}_{\mathrm{eq}}=\left(\frac{\frac{5}{2}-\frac{2}{1}}{\frac{1}{2}+1}\right) \mathrm{V}^{\mathrm{r}_{\mathrm{eq}}}=\frac{2 \times 1}{2+1}=\frac{2}{3}\, \Omega$
$\mathrm{i}=\frac{\mathrm{E}_{\mathrm{eq}}}{10+\mathrm{r}_{\mathrm{eq}}}=0.03 \mathrm{\,A}$ from $\mathrm{P}_{2}$ to $ \mathrm{P}_{1}$
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
- 1A potentiometer wire of length $L$ and a resistance $r$ are connected in series with a battery of e.m.f. $E_0$ and a resistance $r_1$. An unknown e.m.f. $E$ is balanced at a length $l$ of the potentiometer wire. The e.m.f. $E$ will be given byView Solution
- 2A $25\, watt$, $220\, volt$ bulb and a $100\, watt$, $220\, volt$ bulb are connected in parallel across a $220\, volt$ line. Which bulb will glow more brightlyView Solution
- 3Find the charge on the capacitor $C$ in the following circuit ............ $\mu C$View Solution
- 4For a cylinder of radius $R$ current density $J =J_0 \frac{r}{R} $, where $J_0$ is a constant and $r$ is distance from axis. Calculate total currentView Solution
- 5$4$ bulbs marked $40\, W$, $250\, V$ are connected in series with $250\, V$ mains. The total power is ............. $W$View Solution
- 6In the given circuit of potentiometer, the potential difference $E$ across $AB$ ( $10\, m$ length) is larger than $E _{1}$ and $E _{2}$ as well. For key $K _{1}$ (closed), the jockey is adjusted to touch the wire at point $J_{1}$ so that there is no deflection in the galvanometer. Now the first battery $\left( E _{1}\right)$ is replaced by second battery $\left( E _{2}\right)$ for working by making $K _{1}$ open and $K _{2}$ closed. The galvanometer gives then null deflection at $J _{2}$. The value of $\frac{ E _{1}}{ E _{2}}$ is $\frac{ a }{ b },$ where $a =$ ...............View Solution
- 7The resistance of a heater coil is $110\, ohm$. A resistance $R$ is connected in parallel with it and the combination is joined in series with a resistance of $11\, ohm$ to a $220\, volt$ main line. The heater operates with a power of $110\, watt$. The value of $R$ in $ohm$ isView Solution
- 8In the circuit, the reading of the ammeter is ................. $A$ (assume internal resistance of the battery be zero)View Solution
- 9A storage battery has $e.m.f.$ $15\, volts$ and internal resistance $0.05\, ohm$. Its terminal voltage when it is delivering $10\, ampere$ is ............... $volts$View Solution
- 10A $10\,m$ long potentiometer wire has a potential gradient of $0.0025\, V/cm$. Calculate the distance of null point when the wire is connected to a $1.025\,V$ standard cell ............... $\mathrm{m}$View Solution