$A$ brass disc and a carbon disc of same radius are assembled alternatively to make a cylindrical conductor. The resistance of the cylinder is independent of the temperature. The ratio of thickness of the brass disc to that of the carbon disc is [$\alpha$ is temperature coefficient of resistance and Neglect linear expansion ]
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The resistances in $WSB$ circuit shown in the diagram all are different and the current through the galvanometer is zero. If all thermal effects are negligible, the current through the galvanometer will not be zero, when
In the circuit shown $E, F, G$ and $H$ are cells of $\mathrm{e.m.f.}$ $2\,V, 1\,V, 3\,V$ and $1\,V$ respectively and their internal resistances are $2\,\Omega , 1\,\Omega , 3\,\Omega$ and $1\,\Omega$ respectively.
The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of $2 \,\Omega$. The value of internal resistance of each cell is ............ $\Omega$
A letter $A$ is constructed of a uniform wire with resistance $1.0\,\Omega \,per\,cm$. The sides of the letter are $20\, cm$ and the cross piece in the middle is $10\, cm$ long. The apex angle is $60^o$. The resistance between the ends is .............. $\Omega$
In the circuit shown, the cell is ideal, with $emf$ $=$ $15$ $V$. Each resistance is of $3 $ $\Omega$ . The potential difference across the capacitor is.....$V$
In a large building, there are $15$ bulbs of $40\ W$, $5$ bulbs of $100\ W, 5$ fans of $80\ W$ and $1$ heater of $1\ kW$. The voltage of electric mains is $220\ V$. The minimum capacity of the main fuse of the building will be ................ $A$