In a potentiometer experiment the balancing with a cell is at length $240\, cm$. On shunting the cell with a resistance of $2$ $\Omega$, the balancing length becomes $120\, cm$. The internal resistance of the cell is ................. $\Omega $
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When a current of $2\, A$ flows in a battery from negative to positive terminal, the potential difference across it is $12\, V$. If a current of $3 \,A$ flows in the opposite direction potential difference across the terminals of the battery is $15\, V$, the $emf$ of the battery is ................ $\mathrm{V}$
A $dc$ source of $emf \,E_1 = 100\,V$ and internal resistance $r = 0.5\,\Omega ,$ a storage battery of emf $E_2 = 90\,V$ and an external resistance $R$ are connected as shown in figure. For what value of $R$ no current will pass through the battery ? ................ $\Omega$
A cell whose e.m.f. is $2\, V$ and internal resistance is $0.1\,\Omega $, is connected with a resistance of $3.9\,\Omega $. The voltage across the cell terminal will be ................ $V$
When the resistance of $9 \,\Omega$ is connected at the ends of a battery, its potential difference decreases from $40\, volt$ to $30\, volt$. The internal resistance of the battery is ............... $\Omega$
An ammeter with internal resistance $90\,\Omega $ reads $1.85\, A$ when connected in a circuit containing a battery and two resistors $700\,\Omega $ and $410\,\Omega $ in series. Actual current will be
In the circuit shown in the figure, the switch $S$ is initially open and the capacitor is initially uncharged. $ I_1, I_2$ and $I_3$ represent the current in the resistance $2\,\Omega , 4\,\Omega $ and $8\,\Omega$ respectively.
In the adjoining circuit, the battery $E_1$ has an $e.m.f.$ of $12\, volts$ and zero internal resistance, while the battery $E_2$ has an $e.m.f.$ of $2\, volts$. If the galvanometer $G$ reads zero, then the value of the resistance $X$ in $ohms$ is