Two resistance of $100\ \Omega$ and $200\ \Omega$ are connected in series with a battery of $4 \mathrm{~V}$ and negligible internal resistance. $A$ voltmeter is used to measure voltage across $100 \Omega$ resistance, which gives reading as $1 \mathrm{~V}$. The resistance of voltmeter must be ___$\Omega$.
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A $2\, volt$ battery, a $15\,\Omega $ resistor and a potentiometer of $100\, cm$ length, all are connected in series. If the resistance of potentiometer wire is $5\,\Omega $, then the potential gradient of the potentiometer wire is ............... $V/cm$
If resistivity of all four wire connected in parallel is different as given in figure and all other dimensions of wire are same then current $i$ is (resistance of wire having resistivity $\rho $ is $R_0$ )
A uniform wire of $16\,\Omega $ is made into the form of a square. Two opposite corners of the square are connected by a wire of resistance $16\,\Omega $. The effective resistance between the other two opposite corners is ............... $\Omega$
A rod of length $l$ with thermally insulated lateral surface is made of a material whose thermal conductivity $K$ varies as $K = C/T$ , where $C$ is a constant. The ends are at temperatures $T_1$ and $T_2$ . The heat current density is
Two batteries $A$ and $B$ each of $e.m.f.$ $2\, V$ are connected in series to an external resistance $R = 1 \,ohm$. If the internal resistance of battery $A$ is $1.9\, ohms$ and that of $B$ is $0.9\, ohm$, what is the potential difference between the terminals of battery $A$ ............. $V$
The circuit shown here has two batteries of $8.0\,V$ and $16.0\,V$ and three resistors $3\,\Omega ,\,9\,\Omega $ and $9\,\Omega $ and a capacitor of $5.0\,\mu F.$
How much is the current $I$ in the circuit in steady state? ................... $A$
A $3\, volt$ battery with negligible internal resistance is connected in a circuit as shown in the figure. The current $I$, in the circuit will be ............. $A$
The $H$ amount of thermal energy is developed by a resistor in $10\,s$ when a current of $4\,A$ is passed through it. If the current is increased to $16\,A$, the thermal energy developed by the resistor in $10\,s$ will be $........\,H$