Current Electricity

The circuit shown in the figure consists of a charged capacitor of capacity $3\mu\,F$ and a charge of $30\mu\,C.$At time $t=0,$ when the key is closed, the value of current flowing through the $5M\Omega\,$ resistor…

In Circuit-$1$ and Circuit-$2$ shown in the figures, $R1=1Ω,R2=2Ω$ and $R3=3Ω$. $P_{1}$ 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,…

The figure shows a circuit having eight resistances of $1 Ω$ each, labelled $R_{1}$ to $R_{8}$, and two ideal batteries with voltages $ε1=12 V$ and $ε2=6 V$.Which of the following statement(s) is(are) correct?

Shown in the figure is a semicircular metallic strip that has thickness $t$ and resistivity $\rho$. Its inner radius is $R_{1}$ and outer radius is $R_{2}$. If a voltage $V_{0}$ is applied between its two ends, a…

Paragraph: Consider an evacuated cylindrical chamber of height $h$ having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight…

Paragraph: Consider an evacuated cylindrical chamber of height $h$ having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight…

Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers $R_{c}<\frac{R}{2},$ which of the following statement(s) about any one of the…

An infinite line charge of uniform electric charge density $\lambda$ lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time t = 0, the space inside the cylinder is filled with…

In an aluminum (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the figure. The electrical resistivities of Al and Fe are $2.7\times10^{-8}\Omega m$ and…

Two ideal batteries of emf $V_{1}$ and $V_{2}$ and three resistances $R_{1},R_{2}$ and $R_{3}$ are connected as shown in the figure. The current in resistance $R_{2}$ would be zero if

For the resistance network shown in the figure, choose the correct option(s)

A meter bridge is set up as shown in figure, to determine an unknown resistance $X$ using a standard $10 \Omega$ resistor. The galvanometer shows null point when tapping key is at $52 \mathrm{~cm}$ mark. The…