Resistors of $1$, $2$, $ohm$ are connected in the form of a triangle. If a $1.5\, volt$ cell of negligible internal resistance is connected across $3\, ohm$ resistor, the current flowing through this resistance will be ................ $amp$
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$A$ battery is of $\mathrm{emf}$ $E$ is being charged from a charger such that positive terminal of the battery is connected to terminal $A$ of charger and negative terminal of the battery is connected to terminal $B$ of charger. The internal resistance of the battery is $r$.
A $5\,^oC$ rise in temperature is observed in a conductor by passing a current. When the current is doubled the rise in temperature will be approximately ........... $^oC$
The charge flowing through a resistance $R$ varies with time $t$ as $ Q=at-bt^2 $ where $a$ and $b$ are positive constants . The total heat produced in $R$ is
In the circuit diagram shown in figure given below, the current flowing through resistance $3\, \Omega$ is $\frac{ x }{3}\,A$. The value of $x$ is $...........$
The resistance of a wire of iron is $10\, ohms$ and temp. coefficient of resistivity is $5 \times {10^{ - 3}}\,^oC$. At $20\,^oC$ it carries $30$ milliamperes of current. Keeping constant potential difference between its ends, the temperature of the wire is raised to $120\,^oC$. The current in milliamperes that flows in the wire is
In the circuit shown in figure reading of voltmeter is $V_1$ when only $S_1$ is closed, reading of voltmeter is $ V_2$ when only $S_2$ is closed and reading of voltmeter is $V_3$ when both $S_1$ and $S_2$ are closed. Then
The current density in a cylindrical wire of radius $4 \; mm$ is $4 \times 10^{6} \; Am ^{-2}$. The current through the outer portion of the wire between radial distance $\frac{R}{2}$ and $R$ is $\dots \; \pi A .$