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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$
A wire of resistance $12\,ohms$ per meter is bent to form a complete circle of radius $10\, cm.$ The resistance between its two diametrically opposite points, $A$ and $B$ as shown in the figure is
A potentiometer consists of a wire of length $4\, m$ and resistance $10 \,\Omega$. It is connected to cell of $emf$ $2\, V$. The potential difference per unit length of the wire will be ............ $V/m$
The $n$ rows each containing $m$ cells in series are joined in parallel. Maximum current is taken from this combination across an external resistance of $3 \,\Omega$ resistance. If the total number of cells used are $24$ and internal resistance of each cell is $0.5 \,\Omega$ then
In order to measure the internal resistance $r_1$ of a cell of emf $E$, a meter bridge of wire resistance $R_0=50 \Omega$, a resistance $R_0 / 2$, another cell of emf $E / 2$ (internal resistance $r$ ) and a galvanometer $G$ are used in a circuit, as shown in the figure. If the null point is found at $l=72 cm$, then the value of $r_1=$ . . . . $\Omega$
The resistance of $10\, metre$ long potentiometer wire is $1\,ohm/meter$. A cell of $e.m.f.$ $2.2\, volts$ and a high resistance box are connected in series to this wire. The value of resistance taken from resistance box for getting potential gradient of $2.2\, millivolt/metre$ will be ............... $\Omega $
The two ends of a uniform conductor are joined to a cell of $e.m.f.$ $E$ and some internal resistance. Starting from the midpoint $P$ of the conductor, we move in the direction of current and return to $P$. The potential $V$ at every point on the path is plotted against the distance covered $(x)$. Which of the following graphs best represents the resulting curve
The e.m.f. of a cell is $E\, volts$ and internal resistance is $r$ $ohm$. The resistance in external circuit is also $r$ $ohm$. The p.d. across the cell will be