In an experiment, a graph was plotted of the potential difference $V$ between the terminals of a cell against the circuit current $i$ by varying load rheostat. Internal conductance of the cell is given by
Medium
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(b) Here internal resistance is given by the slope of graph i.e. $\frac{x}{y}$. But conductance $ = \frac{1}{{{\rm{Resistance }}}} = \frac{y}{x}$
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A cube is formed with ten identical resistances $R$ (thick lines) and two shorting wires (dotted lines) along the arms $A C$ and $B D$ as shown in the figure below. Resistance between point $A$ and $B$ is ...........$\Omega$
$A$ 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 ]
$n$ identical cells are joined in series with its two cells $A$ and $B$ in the loop with reversed polarities. $EMF$ of each shell is $E$ and internal resistance $r$. Potential difference across cell $A$ or $B$ is (here $n > 4$)
The temperature coefficient of resistance for a wire is $0.00125\,^oC$. At $300\,K$ its resistance is $1\, ohm$. The temperature at which the resistance becomes $2\, ohm$ is .......... $K$
Two identical cells each of emf $1.5\,V$ are connected in series across a $10\,\Omega$ resistance. An ideal voltmeter connected across $10\,\Omega$ resistance reads $1.5\,V$. The internal resistance of each cell is $......\Omega$.
A battery of $e.m.f.$ $3\, volt$ and internal resistance $1.0\, ohm$ is connected in series with copper voltameter. The current flowing in the circuit is $1.5\, amperes$. The resistance of voltameter will be ........... $ohm$
The Kirchhooff's first law $\left(\sum i=0\right)$ and second law ( $\left.\sum i R=\sum E\right)$, where the symbols have their usual meanings, are respectively based on