Electric Charges and Fields

JEE Advanced · Physics · 57 past questions

1. Q1 2026 Paper 2

   Two charges $Q_1 = q$ and $Q_2 = mq$ are placed at the points $P_1(a, b)$ and $P_2(ma, mb)$, respectively, in…

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2. Q2 2026 Paper 2

   Consider an electric dipole comprising two charges $+q$ and $-q$ each with mass $m$, separated by a fixed…

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3. Q3 2025 Paper 2

   A positive point charge of $10^{-8}$ C is kept at a distance of 20 cm from the center of a neutral conducting…

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4. Q4 2025 Paper 2

   Six infinitely large and thin non-conducting sheets are fixed in configurations I and II. As shown in the… (with a figure)

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5. Q5 2024 Paper 2

   A small electric dipole $\vec{p}_0$, having a moment of inertia $I$ about its center, is kept at a distance… (with a figure)

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6. Q6 2023 Paper 2

   An electric dipole is formed by two charges $+q$ and $-q$ located in $xy$-plane at $(0,2)$ mm and $(0,-2)$… (with a figure)

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7. Q7 2022 Paper 1

   Six charges are placed around a regular hexagon of side length $a$ as shown in the figure. Five of them have… (with a figure)

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8. Q8 2022 Paper 2

   A charge $q$ is surrounded by a closed surface consisting of an inverted cone of height $h$ and base radius… (with a figure)

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9. Q9 2022 Paper 2

   In the figure, the inner (shaded) region $A$ represents a sphere of radius $r_A = 1$, within which the… (with a figure)

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10. Q10 2022 Paper 2

    A disk of radius R with uniform positive charge density $\sigma$ is placed on the $xy$ plane with its center…

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11. Q11 2020 Paper 1

    A uniform electric field, $\vec{E} = -400\sqrt{3}\,\hat{y}\ \text{NC}^{-1}$ is applied in a region. A charged… (with a figure)

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12. Q12 2020 Paper 1

    One end of a spring of negligible unstretched length and spring constant $k$ is fixed at the origin (0,0). A… (with a figure)

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13. Q13 2020 Paper 1

    A circular disc of radius $R$ carries surface charge density…

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14. Q14 2020 Paper 2

    Two large circular discs separated by a distance of 0.01 m are connected to a battery via a switch as shown… (with a figure)

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15. Q15 2020 Paper 2

    A point charge $q$ of mass $m$ is suspended vertically by a string of length $l$. A point dipole of dipole… (with a figure)

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16. Q16 2020 Paper 2

    Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point…

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17. Q17 2019 Paper 1

    A thin spherical insulating shell of radius $R$ carries a uniformly distributed charge such that the…

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18. Q18 2019 Paper 1

    A charged shell of radius R carries a total charge Q. Given $\Phi$ as the flux of electric field through a…

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19. Q19 2019 Paper 2

    An electric dipole with dipole moment $\dfrac{p_0}{\sqrt{2}}(\hat{i}+\hat{j})$ is held fixed at the origin O… (with a figure)

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20. Q20 2018 Paper 2

    An infinitely long thin non-conducting wire is parallel to the $z$-axis and carries a uniform line charge… (with a figure)

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21. Q21 2018 Paper 2

    A particle, of mass $10^{-3}\ kg$ and charge $1.0\ C$, is initially at rest. At time $t = 0$, the particle…

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22. Q22 2018 Paper 2

    The electric field $E$ is measured at a point $P(0,0,d)$ generated due to various charge distributions and…

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23. Q23 2017 Paper 2

    A point charge $+Q$ is placed just outside an imaginary hemispherical surface of radius R as shown in the… (with a figure)

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24. Q24 2017 Paper 2

    Consider a simple $RC$ circuit as shown in Figure 1.… (with a figure)

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25. Q25 2017 Paper 2

    Consider a simple $RC$ circuit as shown in Figure 1.… (with a figure)

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26. Q26 2015 Paper 1

    An infinitely long uniform line charge distribution of charge per unit length $\lambda$ lies parallel to the… (with a figure)

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27. Q27 2015 Paper 1

    The figures below depict two situations in which two infinitely long static line charges of constant positive… (with a figure)

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28. Q28 2015 Paper 2

    Consider a uniform spherical charge distribution of radius $R_1$ centred at the origin O. In this… (with a figure)

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29. Q29 2014 Paper 1

    A parallel plate capacitor has a dielectric slab of dielectric constant $K$ between its plates that covers… (with a figure)

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30. Q30 2014 Paper 1

    Let $E_1(r)$, $E_2(r)$ and $E_3(r)$ be the respective electric fields at a distance $r$ from a point charge…

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31. Q31 2014 Paper 2

    Charges $Q$, $2Q$ and $4Q$ are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii… (with a figure)

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32. Q32 2014 Paper 2

    Four charges $Q_1$, $Q_2$, $Q_3$ and $Q_4$ of same magnitude are fixed along the $x$ axis at $x = -2a$, $-a$… (with a figure)

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33. Q33 2013 Paper 1

    Two non-conducting solid spheres of radii $R$ and $2R$, having uniform volume charge densities $\rho_1$ and…

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34. Q34 2013 Paper 2

    Two non-conducting spheres of radii $R_1$ and $R_2$ and carrying uniform volume charge densities $+\rho$ and… (with a figure)

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35. Q35 2012 Paper 1

    Consider a thin spherical shell of radius $R$ with its centre at the origin, carrying uniform positive… (with a figure)

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36. Q36 2012 Paper 1

    Two large vertical and parallel metal plates having a separation of 1 cm are connected to a DC voltage source…

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37. Q37 2012 Paper 1

    A cubical region of side $a$ has its centre at the origin. It encloses three fixed point charges, $-q$ at… (with a figure)

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38. Q38 2012 Paper 1

    An infinitely long solid cylinder of radius $R$ has a uniform volume charge density $\rho$. It has a… (with a figure)

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39. Q39 2012 Paper 1

    A proton is fired from very far away towards a nucleus with charge $Q = 120\,e$, where $e$ is the electronic…

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40. Q40 2012 Paper 2

    Six point charges are kept at the vertices of a regular hexagon of side $L$ and centre $O$, as shown in the… (with a figure)

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41. Q41 2011 Paper 1

    Consider an electric field $\vec{E} = E_0\,\hat{x}$, where $E_0$ is a constant. The flux through the shaded… (with a figure)

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42. Q42 2011 Paper 1

    A spherical metal shell A of radius $R_A$ and a solid metal sphere B of radius $R_B$ ($< R_A$) are kept far…

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43. Q43 2011 Paper 2

    A wooden block performs SHM on a frictionless surface with frequency, $\nu_0$. The block carries a charge +Q… (with a figure)

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44. Q44 2011 Paper 2

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

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45. Q45 2010 Paper 1

    A few electric field lines for a system of two charges $Q_1$ and $Q_2$ fixed at two different points on the… (with a figure)

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46. Q46 2010 Paper 2

    A tiny spherical oil drop carrying a net charge $q$ is balanced in still air with a vertical uniform electric…

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47. Q47 2009 Paper 1

    Three concentric metallic spherical shells of radii $R$, $2R$, $3R$, are given charges $Q_1$, $Q_2$, $Q_3$…

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48. Q48 2009 Paper 1

    A disk of radius $a/4$ having a uniformly distributed charge $6\,\mathrm{C}$ is placed in the $x$-$y$ plane… (with a figure)

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49. Q49 2009 Paper 2

    Under the influence of the Coulomb field of charge $+Q$, a charge $-q$ is moving around it in an elliptical…

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50. Q50 2009 Paper 2

    A solid sphere of radius $R$ has a charge $Q$ distributed in its volume with a charge density…

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51. Q51 2008 Paper 2

    Consider a system of three charges $\frac{q}{3}$, $\frac{q}{3}$ and $-\frac{2q}{3}$ placed at points A, B and… (with a figure)

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52. Q52 2008 Paper 2

    Paragraph for Question Nos. 36 to 38… (with a figure)

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53. Q53 2008 Paper 2

    Paragraph for Question Nos. 36 to 38… (with a figure)

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54. Q54 2007 Paper 1

    A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of…

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55. Q55 2007 Paper 1

    Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on…

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56. Q56 2007 Paper 2

    A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume… (with a figure)

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57. Q57 2007 Paper 2

    Positive and negative point charges of equal magnitude are kept at $\left(0, 0, \dfrac{a}{2}\right)$ and…

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