Electrostatics II: Potential & Capacitance JEE Main PYQs PDF, 2020–2026

Electrostatics II: Potential & Capacitance questions per year

in the free PDF asked, not in the PDFThe PDF only has questions we can print in full with a checked answer, so it holds 168 of the 172 asked.

Topic-wise weightage by year

How many Electrostatics II: Potential & Capacitance questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Swipe the table sideways for older years.

Newest questions (2026)

The 12 newest of the 23 JEE Main 2026 Electrostatics II: Potential & Capacitance questions in the free PDF, latest shift first.

1. JEE Main 2026 · 8 Apr · Shift 2 · Dielectrics

   A parallel plate capacitor is having separation between plates 0.885 mm . It has a capacitance of $1\mu{\ \mathrm{F}}$ when the space between the plates is filled with an insulating material of resistivity $1\times {10}^{{13}}\Omega{\ \mathrm{m}}$ and resistance $17.7\times {10}^{{14}}\Omega$. Relative permittivity of the insulating material is $\alpha\times {10}^{7}$. The value of $\alpha$ is $\_\_\_\_$ .

   (Take permittivity of free space $=8.85\times {10}^{{-12}}{\ \mathrm{F}}/{\mathrm{m}}$ )

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2. JEE Main 2026 · 8 Apr · Shift 2 · Capacitors

   The stored charge in the capacitor in steady state of the following circuit is $\_\_\_\_$ $\mu{\mathrm{C}}$.

   
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3. JEE Main 2026 · 6 Apr · Shift 1 · Electric Potential and Potential Energy

   A three coulomb charge moves from the point $(0,-2,-5)$ to the point $(5,1,2)$ in an electric field expressed as ${\vec{E}}=2x{\widehat{{\mathrm{i}}}}+3{\mathrm{y}}^{2}{\widehat{{\mathrm{j}}}}+4{\widehat{{\mathrm{k}}}}{\mathrm{N}}/{\mathrm{C}}$. The work done in moving the charge is $\_\_\_\_$ J.

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4. JEE Main 2026 · 6 Apr · Shift 2 · Energy Stored in Capacitor

   A sphere of capacitance 100 pF is charged to a potential of 100 V . Another identical uncharged metal sphere is brought in contact with the charged sphere, then the change in the total energy stored on these spheres, when they touch is $\alpha\times {10}^{{-7}}{\ \mathrm{J}}$. The value of $\alpha$ is $\_\_\_\_$ .

   (combined capacitance of spheres is 200 pF )

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5. JEE Main 2026 · 6 Apr · Shift 2 · Electric Potential and Potential Energy

   The electric potential as a function of $x,y$ is given by $V=5\left(x^{2}-y^{2}\right)V$. The electric field at a point $(2,3){\mathrm{m}}$ is $\_\_\_\_$ ${\mathrm{V}}/{\mathrm{m}}$.

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6. JEE Main 2026 · 5 Apr · Shift 2 · Capacitors

   Under steady state condition the potential difference across the capacitor in the circuit is $\_\_\_\_$ V.

   
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7. JEE Main 2026 · 4 Apr · Shift 2 · Combination of Capacitors

   From the circuit given below, the capacitance between terminals $A$ and $B$ shown in the circuit is $\_\_\_\_$ $\mu{\mathrm{F}}$.

   (take $C_{1}=C_{2}=C_{3}=1\mu{\ \mathrm{F}}$ and $C_{4}=2\mu{\ \mathrm{F}}$.)

   
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8. JEE Main 2026 · 4 Apr · Shift 1 · Energy Stored in Capacitor

   A parallel plate air capacitor is connected to a battery. The plates are pulled apart at uniform speed $v$. If $x$ is the separation between the plates at any instant, then the time rate of change of electrostatic energy of the capacitor is proportional to $x^{\alpha}$, where $\alpha$ is $\_\_\_\_$ .

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9. JEE Main 2026 · 2 Apr · Shift 1 · Dielectrics

   A parallel plate air capacitor has a capacitance $C$. When it is half filled as shown in figure with a dielectric constant $K=5$, the percentage increase in the capacitance is ________.

   

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10. JEE Main 2026 · 2 Apr · Shift 1 · Electric Potential and Potential Energy

    Two charged conducting spheres $S_{1}$ and $S_{2}$ of radii 8 cm and 18 cm are connected to each other by a wire. After equilibrium is established, the ratio of electric fields on $S_{1}$ and $S_{2}$ spheres are $E_{{S1}}$ and $E_{{S2}}$ respectively. The value of $\frac{E_{{S1}}}{E_{{S2}}}$ is ________.

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11. JEE Main 2026 · 28 Jan · Shift 1 · Electric Potential and Potential Energy

    Two point charges of 1 nC and 2 nC are placed at the two corners of equilateral triangle of side 3 cm . The work done in bringing a charge of 3 nC from infinity to the third corner of the triangle is $\_\_\_\_$ $\mu{\mathrm{J}}$.

    $\frac{1}{4\pi\epsilon_{0}}=9\times {10}^{9}{\ \mathrm{N}}\cdot {\ \mathrm{m}}^{2}/{\mathrm{C}}^{2}$

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12. JEE Main 2026 · 28 Jan · Shift 2 · Capacitors

    Identify the correct statements :

    A. Effective capacitance of a series combination of capacitors is always smaller than the smallest capacitance of the capacitor in the combination.

    B. When a dielectric medium is placed between the charged plates of a capacitor, displacement of charges cannot occur due to insulation property of dielectric.

    C. Increasing of area of capacitor plate or decreasing of thickness of dielectric is an alternate method to increase the capacitance.

    D. For a point charge, concentric spherical shells centered at the location of the charge are equipotential surfaces.

    Choose the correct answer from the options given below :

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Practise the 2026 Electrostatics II: Potential & Capacitance questions online

Sample questions from recent papers

JEE Main 2026 · 24 Jan · Shift 2 · Dielectrics

Three parallel plate capacitors each with area $A$ and separation $d$ are filled with two dielectric ( $k_{1}$ and $k_{2}$ ) in the following fashion. Which of the following is true?

$(k_{1}>k_{2})$

1. (A)

   $C_{C}>C_{B}>C_{A}$

2. (B)

   $C_{B}>C_{C}>C_{A}$

3. (C)

   $C_{A}>C_{C}>C_{B}$

4. (D)

   $C_{C}>C_{A}>C_{B}$

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Answer: (C)

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JEE Main 2026 · 22 Jan · Shift 2 · Combination of Capacitors

A capacitor $P$ with capacitance $10\times {10}^{{-6}}{\ \mathrm{F}}$ is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor $P$ is connected across another capacitor $Q$ with capacitance $20\times {10}^{{-6}}{\ \mathrm{F}}$. The charge on capacitor $Q$ when equilibrium is established will be $\alpha\times {10}^{{-5}}C$ (assume capacitor $Q$ does not have any charge initially), the value of $\alpha$ is $\_\_\_\_$ .

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Answer: 4

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JEE Main 2025 · 28 Jan · Shift 1 · Energy Stored in Capacitor

Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are $\mathrm{U}_1$ and $\mathrm{U}_2$, respectively. Which of the given statements is true?

1. (A)$\mathrm{C}_2>\mathrm{C}_1, \mathrm{U}_2>\mathrm{U}_1$
2. (B)$\mathrm{C}_1>\mathrm{C}_2, \mathrm{U}_1>\mathrm{U}_2$
3. (C)$\mathrm{C}_2>\mathrm{C}_1, \mathrm{U}_2<\mathrm{U}_1$
4. (D)$\mathrm{C}_1>\mathrm{C}_2, \mathrm{U}_1<\mathrm{U}_2$

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Answer: (A)

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JEE Main 2025 · 28 Jan · Shift 1 · Equipotential Surfaces

Three infinitely long wires with linear charge density $\lambda$ are placed along the $x-a x i s, y-a x i s$ and $z-$ axis respectively. Which of the following denotes an equipotential surface?

1. (A)$\left(x^2+y^2\right)\left(y^2+z^2\right)\left(z^2+x^2\right)=$ constant
2. (B)$x y z=$ constant
3. (C)$x y+y z+z x=$ constant
4. (D)$(x+y)(y+z)(z+x)=$ constant

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Answer: (A)

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The free PDF above has all 168 questions grouped by topic, with an answer key.

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