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A potentiometer wire $PQ$ of $1\,m$ length is connected to a standard cell $E _{1}$. Another cell $E _{2}$ of emf $1.02\, V$ is connected with a resistance $'r'$ and switch $S$ (as shown in figure). With switch $S$ open, the null position is obtained at a distance of $49\, cm$ from $Q$. The potential gradient in the potentiometer wire is.......$V/cm$
$n$ equal cell having emf $E$ and internal resistance $r$, are connected in a circuit of a resistance $R$ . Same current flows in circuit either they are connected in series or parallel, if
The resistance of an electrical toaster has a temperature dependence given by $R\left( T \right) = {R_0}\left[ {1 + \alpha \left( {T - {T_0}} \right)} \right]$ in its range of operation. At ${T_0} = 300\,K,R = 100\,\Omega $ and at $T = 500\,K,\,R = 120\,\Omega $. The toaster is connected to a voltage source at $200\, V$ and its temperature is raised at a constant rate from $300$ to $500\, K$ in $30\, s$. The total work done in raising the temperature is
What will be the most suitable combination of three resistors $A =2\, \Omega, B =4\, \Omega, C =6\, \Omega$ so that $\left(\frac{22}{3}\right)\Omega$ is equivalent resistance of combination$?$
Four bulbs $B_1 , B_2, B_3$ and $B_4$ of $100\, W$ each are connected to $220\, V$ main as shown in the figure. The reading in an ideal ammeter will be ............... $A$
What is the number density of donor atoms which must be added to a pure germanium semiconductor to make $n-$ type semiconductor of conductivity $6.4\ {\Omega ^{ - 1}}\,c{m^{ - 1}}$? The mobility of electr ons in $n-$ type germanium is $4 \times {10^3}\ cm^2\ V^{-1}\ s^{-1}$. Neglect the contribution of holes to conductivity