A $10\, m$ long wire of $20\,\Omega$ resistance is connected with a battery of $3\, volt$ $e.m.f.$ (negligible internal resistance) and a $10 \,\Omega$ resistance is joined to it is series. Potential gradient along wire in volt per meter is
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Two wires of the same material and equal length are joined in parallel combination. If one of them has half the thickness of the other and the thinner wire has a resistance of $8\, ohms$, the resistance of the combination is equal to
The resistance of platinum wire at $0^{\circ}\,C$ is $2\,\Omega$ and $6.8\,\Omega$ at $80^{\circ} \,C$. The temperature coefficient of resistance of the wire is :
Resistance of tungsten wire at $150\,^oC$ is $133\,\Omega $. Its resistance temperature coefficient is $0.0045\,^oC$. The resistance of this wire at $500\,^oC$ will be .............. $\Omega$
The current through a wire depends on time as $i = (2+3t)\, mA$. The charge crossing through a section of the wire in $1\, min$ is .............. $\mathrm{C}$
In the circuit shown below, the cell has an $e.m.f.$ of $10\,V$ and internal resistance of $1\, ohm$. The other resistances are shown in the figure. The potential difference ${V_A} - {V_B}$ is ................ $V$
Two conductors have the same resistances at $0^{\circ} \mathrm{C}$ but their temperature coefficients of resistance are $\alpha_1$ and $\alpha_2$. The respective temperature coefficients for their series and parallel combinations are :
Two solid conductors are made up of same material, have same length and same resistance. One of them has a circular cross section of area $A_{1}$ and the other one has a square cross section of area $A_{2}$. The ratio $\frac{A _{1}}{A _{2}}$ is