The drift velocity of free electrons in a conductor is ‘$v$’ when a current ‘$i$’ is flowing in it. If both the radius and current are doubled, then drift velocity will be
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When two resistance are connected in parallel then the equivalent resistance is $\frac {6}{5}\Omega $ . When one of the resistance is removed then the effective resistance is $2\, \Omega $. The resistance of the wire removed will be ................ $\Omega$
A heater is designed to operate with a power of $1000 \mathrm{~W}$ in a $100 \mathrm{~V}$ line. It is connected in combination with a resistance of $10 \Omega$ and a resistance $R$, to a $100 \mathrm{~V}$ mains as shown in figure. For the heater to operate at $62.5 \mathrm{~W}$, the value of $\mathrm{R}$ should be .................. $\Omega$.
In an experiment to measure the internal resistance of a cell by potentiometer, it is found that the balance point is at a length of $2\,m$ when the cell is shunted by a $5\,\Omega $ resistance; and is at a length of $3\,m$ when the cell is shunted by a $10\,\Omega $ resistance. The internal resistance of the cell is, then ................ $\Omega $
A current of $6\, A$ enters one corner $P$ of an equilateral triangle $PQR$ having $3$ wires of resistance $2 \,\Omega$ each and leaves by the corner $R$. The currents $i_{1}$ in ampere is ........ .
A storage battery is connected to a charger for charging with a voltage of $12.5\,\,Volts$. The internal resistance of the storage battery is $1\,\,\Omega$ . When the charging current is $0.5\,\,A$, the emf of the storage battery is: ............... $volts$
A potentiometer has uniform potential gradient across it. Two cells connected in series $(i)$ to support each other and $(ii)$ to oppose each other are balanced over $6\,m$ and $2\,m$ respectively on the potentiometer wire. The $e.m.f.$’s of the cells are in the ratio of
In the circuit shown, the current through the $4\,\Omega $ resistor is $1\, amp$ when the points $P$ and $M$ are connected to a d.c. voltage source. The potential difference between the points $M$ and $N$ is ............... $volt$