iCON Education - Current Electricity JEE Advanced Test

A metal wire of cross-sectional area 0.5 mm² and length 100 m is connected across a battery of e.m.f. 2 V and internal resistance 1 Ω. The density, atomic mass and electrical conductivity of the metal are 6.35 × 10³ kg m⁻³, 63.5 gm/mole and 2 × 10⁸ mho m⁻¹, respectively. Assuming one conduction electron per atom of the metal, the drift velocity (in mm s⁻¹) of the electrons in the wire is:

[Take Avogadro’s number as 6 × 10²³ and charge of the electron as 1.6 × 10⁻¹⁹ C.]

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 $\mathrm{S}_{1}$ and $\mathrm{S}_{2}$ are in open conditions, respectively.

$Q_{1}$ and $Q_{2}$ are the power dissipations in Circuit-1 and Circuit-2 when the switches $\mathrm{S}_{1}$ and $\mathrm{S}_{2}$ are in closed conditions, respectively.

JEE Advanced 2022 Paper 2 Online Physics - Current Electricity Question 10 English

JEE Advanced 2022 Paper 2 Online Physics - Current Electricity Question 10 English

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

When a voltage source of $6 V$ is connected across $\mathrm{A}$ and $\mathrm{B}$ in both circuits, $P_{1} < P_{2}$.

When a constant current source of $2 \mathrm{Amp}$ is connected across A and B in both circuits, $P_{1}>P_{2}$.

When a voltage source of $6 V$ is connected across $\mathrm{A}$ and $\mathrm{B}$ in Circuit-1, $Q_{1}>P_{1}$.

When a constant current source of $2 \mathrm{Amp}$ is connected across A and $\mathrm{B}$ in both circuits, $Q_{2} < Q_{1}$.

The figure shows a circuit having eight resistances of $1 \Omega$ each, labelled $R_{1}$ to $R_{8}$, and two ideal batteries with voltages $\varepsilon_{1}=12 \mathrm{~V}$ and $\varepsilon_{2}=6 \mathrm{~V}$.

JEE Advanced 2022 Paper 1 Online Physics - Current Electricity Question 12 English

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

The magnitude of current flowing through $R_{1}$ is $7.2 \mathrm{~A}$.

The magnitude of current flowing through $R_{2}$ is $1.2 \mathrm{~A}$.

The magnitude of current flowing through $R_{3}$ is $4.8 \mathrm{~A}$.

The magnitude of current flowing through $R_{5}$ is $2.4 \mathrm{~A}$.

Shown in the figure is a semicircular metallic strip that has thickness t and resistivity $\rho $. Its inner radius is R₁ and outer radius is R₂. If a voltage V₀ is applied between its two ends, a current I flows in it. In addition, it is observed that a transverse voltage $\Delta $V develops between its inner and outer surfaces due to purely kinetic effects of moving electrons (ignore any role of the magnetic field due to the current). Then (figure is schematic and not drawn to scale) JEE Advanced 2020 Paper 1 Offline Physics - Current Electricity Question 35 English

JEE Advanced 2020 Paper 1 Offline Physics - Current Electricity Question 35 English

$I = {{{V_0}t} \over {\pi \rho }}\ln \left( {{{{R_2}} \over {{R_1}}}} \right)$

the outer surface is at a higher voltage than the inner surface

the outer surface is at a lower voltage than the inner surface

$\Delta $V $ \propto $ I²

In the circuit shown, initially there is no charge on the capacitors and keys S₁ and S₂ are open. The values of the capacitors are C₁ = 10$\mu $F, C₂ = 30$\mu $F and C₃ = C₄ = 80$\mu $F.

JEE Advanced 2019 Paper 1 Offline Physics - Current Electricity Question 34 English

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

The key S₁ is kept closed for long time such that capacitors are fully charged. Now, key S₂ is closed, at this time, the instantaneous current across 30$\Omega $ resistor (between points P and Q) will be 0.2 A (round off to 1^st decimal place).

If key S₁ is kept closed for long time such that capacitors are fully charged, the voltage across the capacitor C₁ will be 4V.

At time t = 0, the key S₁ is closed, the instantaneous current in the closed circuit will be 25 mA.

If key S₁ is kept closed for long time such that the capacitors are fully charged, the voltage difference between points P and Q will be 10 V.

Two identical moving coil galvanometers have 10$\Omega $ resistance and full scale deflection at 2$\mu $A current. One of them is converted into a voltmeter of 100 mV full scale reading and the other into an ammeter of 1 mA full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm's law experiment with R = 1000$\Omega $ resistor by using an ideal cell. Which of the following statement(s) is/are correct?

The resistance of the voltmeter will be 100 k$\Omega $.

The resistance of the ammeter will be 0.02 $\Omega $

(round off to 2^nd decimal place).

If the ideal cell is replaced by a cell having internal resistance of 5$\Omega $ then the measured value of R will be more than 1000$\Omega $.

The measured value of R will be 978$\Omega $ < R < 982$\Omega $.

Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers R_c < R/2, which of the following statement(s) about anyone of the galvanometers is(are) true?

The maximum voltage range is obtained when all the components are connected in series

The maximum voltage range is obtained when the two resistors and one galvanometer are connected in series, and the second galvanometer is connected in parallel to the first galvanometer

The maximum current range is obtained when all the components are connected in parallel

The maximum current range is obtained when the two galvanometers are connected in series, and the combination is connected in parallel with both the resistors

In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is (are) true?

JEE Advanced 2016 Paper 2 Offline Physics - Current Electricity Question 30 English

JEE Advanced 2016 Paper 2 Offline Physics - Current Electricity Question 30 English

The voltmeter display $-$5V as soon as the key is pressed and displays +5 V after a long time

The voltmeter will display 0 V at time t = ln 2 seconds

The current in the ammeter becomes 1/e of the initial value after 1 second

The current in the ammeter becomes zero after a long time

An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emits black-body radiation. The filament is observed to break up at random locations after a sufficiently long time of operation due to non-uniform evaporation of tungsten from the filament. If the bulb is powered at constant voltage, which of the following statement(s) is (are) true?

The temperature distribution over the filament is uniform

The resistance over small sections of the filament decreases with time

The filament emits more light at higher band of frequencies before it breaks up

The filament consumes less electrical power towards the end of the life of the bulb

An infinite line charge of uniform electric charge density l 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 a material of permittivity e and electrical conductivity s. The electrical conduction in the material follows Ohm's law. Which one of the following graphs best describes the subsequent variation of the magnitude of current density j (t) at any point in the material?

In an aluminium (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 $\times$ 10^$-$8$\Omega$ m and 1.0 $\times$ 10^$-$7 $\Omega$ m, respectively. The electrical resistance between the two faces P and Q of the composite bar is
JEE Advanced 2015 Paper 1 Offline Physics - Current Electricity Question 26 English

JEE Advanced 2015 Paper 1 Offline Physics - Current Electricity Question 26 English

${{2475} \over {64}}\mu \Omega $

${{1875} \over {64}}\mu \Omega $

${{1875} \over {49}}\mu \Omega $

${{2475} \over {132}}\mu \Omega $

Two ideal batteries of emf V₁ and V₂ and three resistances R₁, R₂ and R₃ are connected as shown in the figure. The current in resistance R₂ would be zero if

JEE Advanced 2014 Paper 1 Offline Physics - Current Electricity Question 24 English

JEE Advanced 2014 Paper 1 Offline Physics - Current Electricity Question 24 English

V₁ = V₂ and R₁ = R₂ = R₃

V₁ = V₂ and R₁ = 2R₂ = R₃

V₁ = 2V₂ and 2R₁ = 2R₂ = R₃

2V₁ = V₂ and 2R₁ = R₂ = R₃

During an experiment with a metre bridge, the galvanometer shall a null point when the jockey is pressed at 40.0 cm using a standard resistance of 90$\Omega$, as shown in the figure. The least count of the scale used in the meter bridge is 1 mm. The unknown resistance is

JEE Advanced 2014 Paper 2 Offline Physics - Current Electricity Question 22 English

60 $\pm$ 0.15 $\Omega$

135 $\pm$ 0.56 $\Omega$

60 $\pm$ 0.25 $\Omega$

135 $\pm$ 0.23 $\Omega$

If the direct transmission method with a cable of resistance 0.4 $\Omega$ km^$-$1 is used, the power dissipation (in %) during transmission is

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

IIT-JEE 2012 Paper 1 Offline Physics - Current Electricity Question 20 English

The current through PQ is zero.

The potential at S is less than that at Q.

A meter bridge is set up as shown, to determine an unknown resistance X using a standard 10 $\Omega$ resistor. The galvanometer shows null point when tapping-key is at 52 cm mark. The end-corrections are 1 cm and 2 cm, respectively, for the ends A and B. The determined value of X is

IIT-JEE 2011 Paper 1 Offline Physics - Current Electricity Question 19 English

Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, 100, 60 and 40 W bulbs have filament resistances R₁₀₀, R₆₀ and R₄₀ respectively, the relation between these resistances is

${1 \over {{R_{100}}}} = {1 \over {{R_{40}}}} + {1 \over {{R_{60}}}}$

${R_{100}} = {R_{40}} + {R_{60}}$

${R_{100}} > {R_{60}} > {R_{40}}$

${1 \over {{R_{100}}}} > {1 \over {{R_{60}}}} > {1 \over {{R_{40}}}}$

To verify Ohm's law, a student is provided with a test resitor R_T, a high resistance R₁, a small resistance R₂, two identical galvanometers G₁ and G₂, and a variable voltage source V. The correct circuit to carry out the experiment is

Consider a thin square sheet of side L and thickness, made of a material of resistivity $\rho$. The resistance between two opposite faces, shown by the shaded areas in the figure is

IIT-JEE 2010 Paper 1 Offline Physics - Current Electricity Question 16 English

directly proportional to L.

directly proportional to t.

For the circuit shown in the figure

IIT-JEE 2009 Paper 1 Offline Physics - Current Electricity Question 9 English

The current I through the battery is 7.5 mA.

The potential difference across $R_L$, is 18 V.

Ratio of powers dissipated in $R_1$ and $R_2$ is 3.

If $R_1$ and $R_2$ are interchanged, magnitude of the power dissipated in $R_L$ will decrease by a factor of 9.

Figure shows three resistor configurations R1, R2 and R3 connected to 3 V battery. If the power dissipated by the configuration R1, R2 and R3 is P1, P2 and P3, respectively, then

IIT-JEE 2008 Paper 1 Offline Physics - Current Electricity Question 8 English 1

IIT-JEE 2008 Paper 1 Offline Physics - Current Electricity Question 8 English 2

STATEMENT - 1

In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance.

and

STATEMENT - 2

Resistance of a metal increases with increase in temperature.

Statement - 1 is True, Statement - 2 is True; Statement - 2 is a correct explanation for Statement - 1

Statement - 1 is True, Statement - 2 is True; Statement - 2 is NOT a correct explanation for Statement - 1

Statement - 1 is True, Statement - 2 is False

Statement - 1 is False, Statement - 2 is True

A resistance of 2 $\Omega$ is connected across one gap of a metre-bridge (the length of the wire is 100 cm) and an unknown resistance, greater than 2 $\Omega$, is connected across the other gap. When these resistance are interchanged, the balance point shifts by 20 cm. Neglecting any corrections, the unknown resistance is

In the given diagram, a line of force of a particular force field is shown. Out of the following options, it can never represent

IIT-JEE 2006 Physics - Current Electricity Question 4 English

an electrostatic field.

a magnetostatic field.

a gravitational field of a mass at rest.

an induced electric field

Consider a cylindrical element as shown in the figure. The current that flows through the element is I and resistivity of material of the cylinder is $\rho$. Choose the correct option out the following

IIT-JEE 2006 Physics - Current Electricity Question 3 English

Power loss in first half is four times the power loss in second half.

Voltage drop in first half is 4 times of voltage drop in second half.

Current density in both halves are equal.

Electric field in both halves is equal

An unknown resistance X is to be determined using resistances R$_1$, R$_2$ or R$_3$. Their corresponding null points are A, B and C. Find which of the above will give the most accurate reading and why ?

IIT-JEE 2005 Mains Physics - Current Electricity Question 5 English