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The potential gradient along the length of a uniform wire is $10\,volt/metre$. $B$ and $C$ are the two points at $30\,cm$ and $60\,cm$ point on a meter scale fitted along the wire. The potential difference between $B$ and $C$ will be ............. $volt$
Two wires $A$ and $B$ are made up of the same material and have the same mass. Wire A has radius of $2.0 \mathrm{~mm}$ and wire $B$ has radius of $4.0 \mathrm{~mm}$. The resistance of wire B is $2 \Omega$. The resistance of wire $\mathrm{A}$ is_______. $\Omega$.
The current $i_1$ and $i_2$ through the resistors $R_1(=10\,\Omega )$ and ${R_2}\left( { = 30\,\Omega } \right)$ in the circuit diagram with $E_1 = 3\,V$, $E_2 = 3\,V$ and $E_3 = 2\,V$ are respectively
A uniform wire of resistance $9$ $\Omega$ is cut into $3$ equal parts. They are connected in the form of equilateral triangle $ABC$. A cell of $e.m.f.$ $2\,V$ and negligible internal resistance is connected across $B$ and $C$. Potential difference across $AB$ is ............... $V$