JEE Main PYQs on Electrostatics: JEE Main Questions for Practice with Solutions

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Shivam Yadav

Educational Content Expert | Updated on - Aug 25, 2025

The JEE Main 2026 exam requires a perfect balance of speed, accuracy, and a solid understanding of the key concepts in Electrostatics. This article provides a set of Multiple Choice Questions (MCQs) on Electrostatics, designed to help you master the topic, enhance your problem-solving skills, and build conceptual clarity. These skills are crucial for excelling in the JEE Main 2026 exam.

Whether you're revisiting fundamental concepts, practicing advanced problems, or testing your knowledge, these JEE Main PYQs will serve as a valuable resource to boost your preparation and confidence.

With the JEE Main 2026 exam approaching, practicing these PYQs and reviewing detailed solutions will help you tackle the exam with confidence, improving your chances of securing a high rank. Make sure you stay ahead in your JEE Main 2026 preparation with these focused and structured questions.

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JEE Main Questions

  • 1.
    A parallel plate capacitor has charge $ 5 \times 10^{-6} \, C $. A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is $ 4 \times 10^{-6} \, C $ then the dielectric constant of the slab is ____.


      • 2.

        Match List - I with List - II:

        List - I: 

        (A) Electric field inside (distance \( r > 0 \) from center) of a uniformly charged spherical shell with surface charge density \( \sigma \), and radius \( R \). 
        (B) Electric field at distance \( r > 0 \) from a uniformly charged infinite plane sheet with surface charge density \( \sigma \). 
        (C) Electric field outside (distance \( r > 0 \) from center) of a uniformly charged spherical shell with surface charge density \( \sigma \), and radius \( R \). 
        (D) Electric field between two oppositely charged infinite plane parallel sheets with uniform surface charge density \( \sigma \). 

        List - II: 

        (I) \( \frac{\sigma}{\epsilon_0} \) 
        (II) \( \frac{\sigma}{2\epsilon_0} \) 
        (III) 0 
        (IV) \( \frac{\sigma}{\epsilon_0 r^2} \) Choose the correct answer from the options given below:

          • (A)-(III),(B)-(II),(C)-(IV),(D)-(I)
          • (A)-(IV),(B)-(I),(C)-(III),(D)-(II)
          • (A)-(IV),(B)-(II),(C)-(III),(D)-(I)
          • (A)-(I),(B)-(II),(C)-(IV),(D)-(III)

        • 3.

          A point charge $ +q $ is placed at the origin. A second point charge $ +9q $ is placed at $ (d, 0, 0) $ in Cartesian coordinate system. The point in between them where the electric field vanishes is:

            • \( \left(\frac{4d}{3}, 0, 0\right) \)
            • \( \left(\frac{d}{4}, 0, 0\right) \)
            • \( \left(\frac{3d}{4}, 0, 0\right) \)
            • \( \left(\frac{d}{3}, 0, 0\right) \)

          • 4.

            Two infinite identical charged sheets and a charged spherical body of charge density ' $\rho$ ' are arranged as shown in figure. Then the correct relation between the electrical fields at $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D points is:

              • $\vec{E}_{A}=\vec{E}_{B} ; \vec{E}_{C}=\vec{E}_{D}$
              • $\vec{E}_{A}>\vec{E}_{B} ; \vec{E}_{C}=\vec{E}_{D}$
              • $\vec{E}_{C} \neq \vec{E}_{D} ; \vec{E}_{A}>\vec{E}_{B}$
              • $\left|\vec{E}_{A}\right|=\left|\vec{E}_{B}\right| ; \vec{E}_{C}>\vec{E}_{D}$


            • 5.
              The battery of a mobile phone is rated as 4.2 V, 5800 mAh. How much energy is stored in it when fully charged?

                • 43.8 kJ
                • 48.7 kJ
                • 87.7 kJ
                • 24.4 kJ

              • 6.
                The electrostatic potential on the surface of uniformly charged spherical shell of radius R = 10 cm is 120 V. The potential at the centre of shell, at a distance r = 5 cm from centre, and at a distance r = 15 cm from the centre of the shell respectively, are:

                  • 120V, 120V, 80V
                  • 40V, 40V, 80V
                  • 0V, 0V, 80V
                  • 0V, 120V, 40V

                • 7.
                  A dipole with two electric charges of $ 2 \, \mu C $ magnitude each, with separation distance $ 0.5 \, \mu m $, is placed between the plates of a capacitor such that its axis is parallel to an electric field established between the plates when a potential difference of $ 5 \, V $ is applied. Separation between the plates is $ 0.5 \, mm $. If the dipole is rotated by $ 30^\circ $ from the axis, it tends to realign in the direction due to a torque. The value of torque is :

                    • \( 5 \times 10^{-9} \, Nm \)
                    • \( 5 \times 10^{-3} \, Nm \)
                    • \( 2.5 \times 10^{-12} \, Nm \)
                    • \( 2.5 \times 10^{-9} \, Nm \)

                  • 8.
                    Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
                    Assertion (A): The outer body of an aircraft is made of metal which protects persons sitting inside from lightning strikes.
                    Reason (R): The electric field inside the cavity enclosed by a conductor is zero. In the light of the above statements, choose the most appropriate answer from the options given below:

                      • Both (A) and (R) are correct and (R) is the correct explanation of (A)
                      • (A) is correct but (R) is not correct
                      • Both (A) and (R) are correct but (R) is not the correct explanation of (A)
                      • (A) is not correct but (R) is correct

                    • 9.
                      The electrostatic potential on the surface of a uniformly charged spherical shell of radius \( R = 10 \, \text{cm} \) is 120 V. The potential at the centre of the shell, at a distance 5 cm from the centre, and at a distance 15 cm from the centre of the shell are:

                        • \( 40 \, \text{V}, 40 \, \text{V}, 80 \, \text{V} \)
                        • \( 120 \, \text{V}, 120 \, \text{V}, 80 \, \text{V} \)
                        • \( 0 \, \text{V}, 120 \, \text{V}, 40 \, \text{V} \)
                        • \( 0 \, \text{V}, 0 \, \text{V}, 80 \, \text{V} \)

                      • 10.

                        Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density \( +\sigma \) and \( -\sigma \). The force experienced by a point charge \( +q \) placed at the mid point between the plates will be:

                          • \( \frac{3q\sigma}{4 \epsilon_0} \)
                          • \( \frac{3q\sigma}{2 \epsilon_0} \)
                          • \( \frac{3q\sigma}{4 \epsilon_0} \)
                          • \( \frac{q\sigma}{2 \epsilon_0} \)

                        • 11.
                          The electric field in a region is given by $ \vec{E} = (2\hat{i} + 4\hat{j} + 6\hat{k}) \times 10^3 \, N/C $. The flux of the field through a rectangular surface parallel to x-z plane is $ 6.0 \, Nm^2C^{-1} $. The area of the surface is ____ $ cm^2 $.


                            • 12.
                              Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage across the second capacitor is 20 V, its capacitance is : (in pF)

                                • 600
                                • 200
                                • 400
                                • 100

                              • 13.

                                A small bob of mass 100 mg and charge +10 µC is connected to an insulating string of length 1 m. It is brought near to an infinitely long non-conducting sheet of charge density \( \sigma \) as shown in figure. If the string subtends an angle of 45° with the sheet at equilibrium, the charge density of sheet will be :

                                  • 0.885 nC/cm\(^2\)
                                  • 17.7 nC/cm\(^2\)
                                  • 885 nC/cm\(^2\)
                                  • 1.77 nC/cm\(^2\)

                                • 14.

                                  Four capacitors each of capacitance $16\,\mu F$ are connected as shown in the figure. The capacitance between points A and B is __ (in $\mu F$) 


                                    • 15.

                                      Two small spherical balls of mass 10 g each with charges $-2 \mu \mathrm{C}$ and $2 \mu \mathrm{C}$, are attached to two ends of very light rigid rod of length 20 cm. The arrangement is now placed near an infinite nonconducting charge sheet with uniform charge density of $100 \mu \mathrm{C} / \mathrm{m}^{2}$ such that length of rod makes an angle of $30^{\circ}$ with electric field generated by charge sheet. Net torque acting on the rod is:

                                        • 112 Nm
                                        • 1.12 Nm
                                        • 2.24 Nm
                                        • 11.2 Nm

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