A wire of resistance $R$ is divided in $10$ equal parts. These parts are connected in parallel, the equivalent resistance of such connection will be
Medium
Download our app for free and get started
(a) Each part will have a resistance $r = R/10$
Let equivalent resistance be ${r_{R,}}$
then $\frac{1}{{{r_R}}} = \frac{1}{r} + \frac{1}{r} + \frac{1}{r}$ ........... $10\;{\rm{times}}$
$\therefore \frac{1}{{{r_R}}} = \frac{{10}}{r} = \frac{{10}}{{R/10}} = \frac{{100}}{R} \Rightarrow {r_R} = \frac{R}{{100}} = 0.01\,R$
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
- 1Read the following statements carefully :View Solution
$Y :$ The resistivity of a semiconductor decreases with increases of temperature.
$Z :$ In a conducting solid, the rate of collision between free electrons and ions increases with increase of temperature.
Select the correct statement from the following :
- 2View SolutionWhat is immaterial for an electric fuse wire
- 3Resistance of $100\, cm$ long potentiometer wire is $10 \,\Omega$, it is connected to a battery ($2\, volt$) and a resistance $R$ in series. A source of $10\, mV$ gives null point at $40\, cm$ length, then external resistance $R$ is ........... $\Omega $View Solution
- 4Two 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 $6\,V$ 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 $.............A$.View Solution
- 5Two wires of equal diameters, of resistivities ${\rho _1}$ and ${\rho _2}$ and lengths $l_1$ and $l_2$, respectively, are joined in series. The equivalent resistivity of the combination isView Solution
- 6The resistances of a wire at temperatures $t\,^oC$ and $0\,^oC$ are related byView Solution
- 7In the arrangement shown in figure when the switch $S_2$ is open, the galvanometer shows no deflection for $l = L/2$. When the switch $S_2$ is closed, the galvanometer shows no deflection for $l = 5L /12$ . The internal resistance $(r)$ of $6\, V$ cell, and the $\mathrm{emf}$ $E$ of the other battery are respectivelyView Solution
- 8The equivalent resistance of the circuit shown below between points $a$ and $b$ is $..........\Omega$View Solution
- 9Figure $(i)$ below shows a Wheatstone's bridge in which $P, Q, R$ and $S$ are fixed resistances, $G$ is a galvanometer and $B$ is a battery. For this particular case, the galvanometer shows zero deflection. Now, only the positions of $B$ and $G$ are interchanged, as shown in figure $(ii)$. The new deflection of the galvanometerView Solution
- 10Calculate the current shown by the ammeter $A$ in the circuit diagram is .............. $A$View Solution
