JEE Advanced · 2011 · 10 Apr 2011 · Paper 2 · Current Electricity

A metal wire of cross-sectional area $0.5{\mathrm{mm}}^2$ and length 100 m is connected across a battery of e.m.f. 2 V and internal resistance $1\Omega$. The density, atomic mass and electrical conductivity of the metal are …

As shown in the figure, the resistance of a galvanometer $G$ can be found by the half-deflection method. Here the resistance $R_2$ is adjusted such that when the key $K$ is closed the deflection in the galvanometer becomes half of the value as compared to when $K$ is op …

In a circuit shown in the figure, the capacitor $C$ is initially uncharged and the key $K$ is open. In this condition, a current of 1 A flows through the $1\Omega$ resistor. The key is closed at time $t=t_0$. Which of the following statement(s) is(are) correct?
[Given: …

The figure shows a circuit having eight resistances of $1\Omega$ each, labelled $R_1$ to $R_8$, and two ideal batteries with voltages ${\epsilon }_1=12V$ and ${\epsilon }_2=6V$.

Which of the following statement(s) is(are) correct?

Two resistances $R_1=X\Omega$ and $R_2=1\Omega$ are connected to a wire $AB$ of uniform resistivity, as shown in the figure. The radius of the wire varies linearly along its axis from $0.2mm$ at $A$ to $1mm$ at $B$. A galvanometer (G) connected to the center …

In Circuit-1 and Circuit-2 shown in the figures, $R_1=1\Omega ,R_2=2\Omega$ and $R_3=3\Omega$. $P_1$ and $P_2$ are the power dissipations in Circuit-1 and Circuit-2 when the switches $S_1$ and $S_2$ are in open conditions, respectively.
$Q_1$ and …