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Two coils require $20$ minutes and $60$ minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce same amount of heat by the combination of coils, will be________ $min$
Two resistors are connected $(a)$ in series $(b)$ in parallel. The equivalent resistance in the two cases are $9$ $ohm$ and $2$ $ohm$ respectively. Then the resistances of the component resistors are
Each element in the finite chain of resistors shown in the figure is $1\,\Omega $. A current of $1\, A$ flows through the final element. Then what is the potential difference $V$ across input terminals of the chain ............... $\mathrm{volt}$
In a potentiometer arrangement, a cell of emf $1.20\, V$ gives a balance point at $36\, cm$ length of wire. This cell is now replaced by another cell of emf $1.80\, V$. The difference in balancing length of potentiometer wire in above conditions will be $....cm$.
The charge of an electron is $1.6 × 10^{-19}\,C$. How many electrons strike the screen of a cathode ray tube each second when the beam current is $16\,mA$
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 $AC.$
Two wires of the same dimensions but resistivities ${\rho _1}$ and ${\rho _2}$ are connected in series. The equivalent resistivity of the combination is
The equivalent resistance of a group of resistances is $R$. If another resistance is connected in parallel to the group , its new equivalent becomes $R_1$ and if it is connected in series to the group , its new equivalent becomes $R_2$ we have :