In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across $52\ cm$ of the potentiometer wire. If the cell is shunted by a resistance of $ 5\,\Omega$, a balance is found when the cell is connected across $40\ cm$ of the wire. Find the internal resistance of the cell ........... $\Omega$
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The resistors of resistances $2$ $\Omega$, $4$ $\Omega$ and $8$ $\Omega$ are connected in parallel, then the equivalent resistance of the combination will be
A resistance of $4\,\Omega $ and a wire of length $5\,m$ and resistance $5\,\Omega $ are joined in series and connected to a cell of $e.m.f.$ $10\, V$ and internal resistance $1\,\Omega $. A parallel combination of two identical cells is balanced across $300\, cm$ of the wire. The $e.m.f.$ $E$ of each cell is ........... $V$
The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of $15\, \Omega$ resistance is connected across $BD$. Calculate the current through the galvanometer when a potential difference of $10\, V$ is maintained across $AC.$
A potentiometer $PQ$ is set up to compare two resistances as shown in the figure. The ameter $A$ in the circuit reads $1.0\, A$ when two way key $K_3$ is open. The balance point is at a length $l_1\, cm$ from $P$ when two way key $K_3$ is plugged in between $2$ and $1$ , while the balance point is at a length $l_2\, cm$ from $P$ when key $K_3$ is plugged in between $3$ and $1$ . The ratio of two resistances $\frac{{{R_1}}}{{{R_2}}}$ is found to be