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In a potentiometer circuit there is a cell of $e.m.f.$ $2\, volt$, a resistance of $5\, ohm$ and a wire of uniform thickness of length $1000\, cm$ and resistance $15\, ohm$. The potential gradient in the wire is
The length of a potentiometer wire is $l$. $A$ cell of $\mathrm{emf}$ $E$ is balanced at a length $l/3$ from the positive end of the wire. If the length of the wire is increased by $l/2$. At what distance will the same cell give a balance point.
Two wires $A$ and $B$ of the same material, having radii in the ratio $1: 2$ carry currents in the ratio $4: 1$. The ratio of drift speed of electrons in $A$ and $B$ is .......
In the electric network shown, when no current flows through the $4 \Omega$ resistor in the arm EB, the potential difference between the points $A$ and $D$ will be $.............\,V$
A potentiometer consists of a wire of length $4\, m$ and resistance $10 \,\Omega$. It is connected to cell of $emf$ $2\, V$. The potential difference per unit length of the wire will be ............ $V/m$
Six similar bulbs are connected as shown in the figure with a $DC$ source of $emf\; E$, and zero internal resistance. The ratio of power consumption by the bulbs when $(i)$ all are glowing and $(ii)$ in the situation when two from section $A$ and one from section $B$ are glowing, will be
A uniform metallic wire has a resistance of $18\,\Omega $ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is .................. $\Omega$
A potential difference of $10 \,V$ is applied across a conductor of $1000 \,\Omega$. The number of electrons flowing through the conductor in $300 \,s$ is ..........
Under what condition current passing through the resistance $R$ can be increased by short circuiting the battery of emf $E_2$. The internal resistances of the two batteries are $r_1$ and $r_2$ respectively.