The effective resistance of two resistors in parallel is $\frac{{12}}{7}\,\Omega $. If one of the resistors is disconnected the resistance becomes $4$ $\Omega$. The resistance of the other resistor is.............. $\Omega$
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A cable of resistance $10\,\Omega $ carries electric power from a generator producing $250\, kW$ at $10000\, volt$, the power lost in the cable during transmission is ............. $kW$
A wire $100\,cm$ long and $2.0\,mm$ diameter has a resistance of $0.7\, ohm$, the electrical resistivity of the material is ...........$ \times {10^{ - 6}}\,ohm \times m$
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 :
Consider a metallic cube of edge length $L$. Its resistance, $R$, measured across its opposite faces is $R =\frac{ m _{ e } v }{ ne ^2 L ^2}$, where $n$ is the number density and $v$ is the drift speed of electrons in the cube, and $e$ and $m _{ e }$ are the charge and mass of an electron respectively. Assuming the de-Broglie wavelength of the electron to be $L$, the maximum resistance of the sample is closest to ............. $\,\Omega$ $\left(e=1.60 \times 10^{-19} \,C ; m _{ e }=9.11 \times 10^{-31} \,kg\right.$; Planck's constant, $h=6.63 \times 10^{-34} \,Js$ )