Three resistors having resistances $\mathrm{r}_{1}, \mathrm{r}_{2}$ and $\mathrm{r}_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is :
NEET 2021, Easy
Download our app for free and get started
$I_{3}=\frac{I_{1} r_{2}}{r_{2}+r_{3}}$
$\frac{I_{3}}{I_{1}}=\frac{I_{1} r_{2}}{\left(r_{2}+r_{3}\right) I_{1}}=\frac{r_{2}}{r_{2}+r_{3}}$
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
- 1View SolutionTwo heating coils, one of fine wire and the other of thick wire of the same material and of the same length are connected in series and in parallel. Which of the following statement is correct
- 2There are a large number of cells available, each marked $(6 \,V , 0.5 \,\Omega)$ to be used to supply current to a device of resistance $0.75 \,\Omega$, requiring $24 \,A$ current. How should the cells be arranged, so that power is transmitted to the load using minimum number of cells?View Solution
- 3In the meter bridge shown, the resistance $X$ has a negative temperature coefficient of resistance. Neglecting the variation in other resistors, when current is passed for some time, in the cirucit, balance point should shift towards.View Solution
- 4If the resistivity of a potentiometer wire be $\rho $ and area of cross-section be $A$, then what will be potential gradient along the wireView Solution
- 5The electric bulbs have tungsten filaments of same length. If one of them gives $60 \,watt$ and other $100\, watt$, thenView Solution
- 6View SolutionThe alloys constantan and manganin are used to make standard resistance due to they have
- 7View SolutionThe potentiometer is best for measuring voltage, as
- 8Following figure shows cross-sections through three long conductors of the same length and material, with square cross-section of edge lengths as shown. Conductor $B$ will fit snugly within conductor $A$, and conductor $C$ will fit snugly within conductor $B$. Relationship between their end to end resistance isView Solution
- 9A heater coil connected to a supply of a $220\, V$ is dissipating some power ${P_1}.$ The coil is cut into half and the two halves are connected in parallel. The heater now dissipates a power ${P_2}.$ The ratio of power ${P_1}\,\,:\,\,{P_2}$ isView Solution
- 10In given circuit find potential difference between $P$ and $Q$ .................. $V$View Solution
