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 the $XY$ plane, where $a, b \neq 0$ and $m \neq 0, 1$. If $V_1$ is the potential at a point in the $XY$ plane due to charge $Q_1$ and $V_2$ is the potential at that point due to charge $Q_2$. Correct statement(s) for the points at which $|V_1| = |V_2|$ is/are :

For $m = -1$, locus of these points is $ax + by = 0$.

For $m = 2$, the locus of these points is a circle of radius $\frac{2}{3}\sqrt{a^2+b^2}$ centered at $\left(\frac{2}{3}a, \frac{2}{3}b\right)$

For $m = -2$, the locus of these points is a circle of radius $2\sqrt{a^2+b^2}$ centered at $(2a, 2b)$

For $m = -3$, locus of these points is $3bx - 3ay = 0$.

Consider an electric dipole comprising two charges $+q$ and $-q$ each with mass $m$, separated by a fixed distance $d$ and initially at rest with its dipole moment pointing along $\hat{\imath}$. A uniform electric field $E \hat{\jmath}$ is turned on at time $t = 0$ and it is turned off at $t = t_f$, when the dipole moment makes an angle $\theta_f$ with $\hat{\imath}$. Neglecting any sources of energy loss, correct option(s) is/are :

If the magnitude of the final angular velocity $\omega_f = \sqrt{\frac{2qE}{md}}$, then $\theta_f = \frac{\pi}{6}$.

For $\theta_f = \pi/4$, the dipole rotates around its center of mass with a constant angular velocity after $t > t_f$.

The center of mass of the dipole is deflected towards $\hat{\jmath}$ in the presence of the field.

If $\theta_f = \pi/3$, then the change in kinetic energy of the dipole is given by $2\sqrt{3}\ qEd$.

Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of same length. At equilibrium, the angle between the strings is $$\alpha$$. The spheres are now immersed in a dielectric liquid of density 800 kg m $$^{-3}$$ and dielectric constant 21. If the angle between the strings remains the same after the immersion, then

electric force between the spheres remains unchanged

mass density of the spheres is 840 kg m $$^{-3}$$

electric force between the spheres reduces

the tension in the strings holding the spheres remains unchanged

A charged shell of radius R carries a total charge Q. Given $$\phi $$ as the flux of electric field through a closed cylindrical surface of height h, radius r and with its center same as that of the shell. Here, center of the cylinder is a point on the axis of the cylinder which is equidistant from its top and bottom surfaces. Which of the following option(s) is/are correct? [$$ \in $$ 0 is the permittivity of free space]

If h > 2R and r = 3R / 5 then $$\phi $$ = Q / 5 $$ \varepsilon_0 $$

If h < 8R /5 and r = 3R / 5 then $$\phi $$ = 0

If h > 2R and r = R then $$\phi $$ = Q / $$ \varepsilon_0 $$

If h > 2R and r = 4R / 5 then $$\phi $$ = Q / 5 $$ \varepsilon_0 $$

Electrostatics — JEE Advanced Previous Year Questions

32 solved PYQs · 2016–2026 · Physics

Solved PYQs: 32
Years covered: 2016–2026
Avg / year: ~3
Subject: Physics

How many JEE Advanced questions come from Electrostatics?

Electrostatics has contributed 32 questions to Joint Entrance Examination (Advanced) papers between 2016 and 2026 — an average of about 3 questions a year. That count is measured from EByAi’s bank of 18,502 JEE Advanced questions, not estimated from a syllabus. Every one of the 32 questions carries a written, step-by-step solution, and each is tagged to Electrostatics within Physics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Electrostatics questions from real JEE Advanced papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 32 Electrostatics questions (with full written solutions) are available in practice.

Question 1 · JEE Advanced 2026 · one or more correct
Two charges $Q_{1} = q$ and $Q_{2} = m q$ are placed at the points $P_{1} (a, b)$ and $P_{2} (ma, mb)$ , respectively, in the $X Y$ plane, where $a, b \neq = 0$ and $m \neq = 0, 1$ . If $V_{1}$ is the potential at a point in the $X Y$ plane due to charge $Q_{1}$ and $V_{2}$ is the potential at that point due to charge $Q_{2}$ . Correct statement(s) for the points at which $∣ V_{1} ∣ = ∣ V_{2} ∣$ is/are :
1. (A) $For m = - 1, locus of these points is a x + b y = 0 .$
2. (B) $For m = 2, the locus of these points is a circle of radius \frac{2}{3} a^{2} + b^{2} centered at (\frac{2}{3} a, \frac{2}{3} b)$
3. (C) $For m = - 2, the locus of these points is a circle of radius 2 a^{2} + b^{2} centered at (2 a, 2 b)$
4. (D) $For m = - 3, locus of these points is 3 b x - 3 a y = 0 .$
Show answerAnswer
$Answer: options A and B and C$
Question 2 · JEE Advanced 2026 · one or more correct
Consider an electric dipole comprising two charges $+ q$ and $- q$ each with mass $m$ , separated by a fixed distance $d$ and initially at rest with its dipole moment pointing along $\overset{}{^}$ . A uniform electric field $E \overset{}{^}$ is turned on at time $t = 0$ and it is turned off at $t = t_{f}$ , when the dipole moment makes an angle $θ_{f}$ with $\overset{}{^}$ . Neglecting any sources of energy loss, correct option(s) is/are :
1. (A) $The center of mass of the dipole is deflected towards \overset{}{^} in the presence of the field.$
2. (B) $If the magnitude of the final angular velocity ω_{f} = \frac{2 q E}{m d}, then θ_{f} = \frac{π}{6} .$
3. (C) $If θ_{f} = π /3, then the change in kinetic energy of the dipole is given by 23 q E d .$
4. (D) $For θ_{f} = π /4, the dipole rotates around its center of mass with a constant angular velocity after t > t_{f} .$
Show answerAnswer
$Answer: options B and D$
Question 3 · JEE Advanced 2020 · one or more correct
Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of same length. At equilibrium, the angle between the strings is $α$ . The spheres are now immersed in a dielectric liquid of density 800 kg m $^{- 3}$ and dielectric constant 21. If the angle between the strings remains the same after the immersion, then
1. (A) $electric force between the spheres remains unchanged$
2. (B) $electric force between the spheres reduces$
3. (C) $mass density of the spheres is 840 kg m^{- 3}$
4. (D) $the tension in the strings holding the spheres remains unchanged$
Show answerAnswer
$Answer: options A and C$
Question 4 · JEE Advanced 2019 · one or more correct
A charged shell of radius R carries a total charge Q. Given $ϕ$ as the flux of electric field through a closed cylindrical surface of height h, radius r and with its center same as that of the shell. Here, center of the cylinder is a point on the axis of the cylinder which is equidistant from its top and bottom surfaces. Which of the following option(s) is/are correct? [ $\in$ 0 is the permittivity of free space]
1. (A) $If h > 2R and r = 4R / 5 then ϕ = Q / 5 ε_{0}$
2. (B) $If h > 2R and r = 3R / 5 then ϕ = Q / 5 ε_{0}$
3. (C) $If h < 8R /5 and r = 3R / 5 then ϕ = 0$
4. (D) $If h > 2R and r = R then ϕ = Q / ε_{0}$
Show answerAnswer
$Answer: options B and C and D$
Question 5 · JEE Advanced 2020
$A circular disc of radius R carries surface charge density σ (r) = σ_{0} (1 - \frac{r}{R}), where σ_{0} is a constant and r is the distance from the center of the disc. Electric flux through a large spherical surface that encloses the charged disc completely is ϕ_{0} . Electric flux through another spherical surface of radius \frac{R}{4} and concentric with the disc is ϕ . Then the ratio \frac{ϕ _{0}}{ϕ} is ________.$
Show answerAnswer
$Answer: 6.4$

Electrostatics questions by year

Year	Questions	Share of chapter questions
2026	2
2025	4
2024	4
2023	1
2022	4
2021	2
2020	6
2019	3
2018	3
2017	1
2016	2

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FAQs

How many JEE Advanced questions have been asked from Electrostatics?

EByAi's bank holds 32 real JEE Advanced questions from Electrostatics, asked between 2016 and 2026 — about 3 per year on average. Every count is measured from actual papers, not estimated.

Is Electrostatics important for JEE Advanced?

32 questions over 11 papers make Electrostatics a steady-weightage chapter in JEE Advanced Physics. The year-wise table above shows exactly how often it appears.

Can I solve Electrostatics PYQs online for free?

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