A heating coil can heat the water of a vessel from $20\,^oC$ to $60\,^oC$ in $30$ minutes. Two such heating coils are put in series and then used to heat the same amount of water through the same temperature range. The time taken now will be ............ $min$ (neglecting thermal capacity of the coils)
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A copper wire of diameter $1.02\, mm$ carries a current of $1.7\, amp$. Find the drift velocity $(v_d)$ of electrons in the wire. Given $n$, number density of electrons in copper $= 8.5 \times 10^{27} /m^3$....................... $mm/sec$
A wire of $1 \,\Omega$ has a length of $1\, m$. It is stetched till its length increases by $25\, \%$. The percentage change in resistance to the neartest integer is .....$\%$
$A$ wire of length $L$ and $3$ identical cells of negligible internal resistances are connected in series. Due to the current, the temperature of the wire is raised by $\Delta T$ in time $t. N$ number of similar cells is now connected in series with a wire of the same material and cross section but of length $2L$. The temperature of the wire is raised by the same amount $\Delta T$ in the same time $t$. The value of $N$ is :
Two rods of copper and iron with the same cross-sectional area are joined at $S$ and a steady current $I$ flows through the rods as shown in the figure. Choose the most appropriate representation of charges accumulated near the junction $S$.
A steady current $I$ flows through a wire of radius $r$, length $L$ and resistivity $\rho$. The current produces heat in the wire. The rate of heat loss in a wire is proportional to its surface area. The steady temperature of the wire is independent of
The meter bridge shown is in balanced position with $\frac{\mathrm{P}}{\mathrm{Q}}=\frac{\mathrm{l}_{1}}{\mathrm{l}_{2}}$. If we now litterchange the positions of gavanometer and cell, will the bridge work? If yes, what will be balance condition?