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In the circuit shown the resistance of voltmeter is $10,000\, ohm$ and that of ammeter is $20\,ohm$. The ammeter reading is $0.10\,Amp$ and voltmeter reading is $12$ $\mathrm{volt}.$ Then $R$ is equal to .............. $\Omega$
Space between two concentric conducting spheres of radii $a$ and $b (b > a)$ is filled with $a$ medium of resistivity $\rho $. The resistance between the two spheres will be
As shown in the schematic below, a rod of uniform cross-sectional area $A$ and length $l$ is carrying a constant current $i$ through it and voltage across the rod is measured using an ideal voltmeter. The rod is stretched by the application of a force $F$. Which of the following graphs would show the variation in the voltage across the rod as function of the strain $\varepsilon$ when the strain is small. Neglect Joule heating.
In the figure shown, battery $1$ has $\mathrm{emf}$ $= 6\, V$ and internal resistance $= 1 \,\Omega$. Battery $2$ has $\mathrm{emf}$ $= 2\,V$ and internal resistance $= 3\, \Omega$ . The wires have negligible resistance. What is the potential difference across the terminals of battery $2$ ? ................ $V$
The thermo $e.m.f.$ of a thermo-couple is $25\,\mu V{/^o}C$ at room temperature. A galvanometer of $40\, ohm$ resistance, capable of detecting current as low as ${10^{ - 5}}\,A,$ is connected with the thermocouple. The smallest temperature difference that can be detected by this system is ................ $^oC$
The drift velocity of electrons in silver wire with cross-sectional area $3.14 \times 10^{-6}\,m ^2$ carrying a current of $20\,A$ is. Given atomic weight of $Ag =108$ , density of silver $=10.5 \times 10^3\,kg / m ^3..........\times 10^{-4} m / sec$.
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 $R_0$ )