A current of $1.6\, A$ is flowing through a wire having cross-sectional area $1\, mm^2$. If density of free electrons in the material of the wire is $10^{29}\, per\, m^3$, the drift velocity of electrons will be
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Three resistors having resistances $\mathrm{r}_{1}, \mathrm{r}_{2}$ and $\mathrm{r}_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is :
Two identical cells each of emf $1.5 \,V$ are connected in parallel across a parallel combination voltmeter connected in the circuit measures $1.2 \,V$.
The internal resistance of each cell is.................$\Omega$
A current of $10 \,A$ is maintained in a conductor of cross-section $1 \,cm ^2$. If the number density of free electrons be $9 \times 10^{28} \,m ^{-3}$, the drift velocity of free electrons is .......... $m / s$
Two wires that are made up of two different materials whose specific resistance are in the ratio $2 : 3$, length $3 : 4$ and area $4 : 5$. The ratio of their resistances is
The current $i_1$ and $i_2$ through the resistor $R_1 (= 10\,\Omega )$ and $R_2 (=30 \,\Omega )$ in the circuit diagram with $E_1 = 3\,V, E_2 = 3\,V$ and $E_3 = 2\,V$ are respectively:
In order to quadruple the resistance of a uniform wire, a part of its length was uniformly stretched till the final length of the entire wire was $1.5$ times the original length, the part of the wire was fraction equal to