Electric Charges and Fields

12 JEE Main questions · Physics

Electric field

PhysicsJEE Main 22 Jan 2026, Shift 1·Q3·MCQ·Easy–moderate
Open
Six point charges are kept $60^\circ$ apart from each other on the circumference of a circle of radius R as shown in figure. The net electric field at the centre of the circle is . ( $\epsilon_0$ is permittivity of free space)
1. (1) $-\dfrac{5Q}{8\pi\epsilon_0R^2}(\hat i + \sqrt3\,\hat j)$
2. (2) $-\dfrac{Q}{4\pi\epsilon_0R^2}\left(\sqrt3\,\hat i - \hat j\right)$
3. (3) $-\left(\dfrac{5Q}{8\pi\epsilon_0R^2}\right)\left(\hat i - 3\hat j\right)$
4. (4) $\dfrac{Q}{4\pi\epsilon_0R^2}\left(\sqrt3\,\hat i - \hat j\right)$
PhysicsJEE Main 24 Jan 2026, Shift 2·Q22·Numerical·Moderate
Open
A point charge $q = 1\ \mu$ C is located at a distance 2 cm from one end of a thin insulating wire of length 10 cm having a charge $Q = 24\ \mu$ C, distributed uniformly along its length, as shown in figure. Force between $q$ and wire is N.
(Use $\dfrac{1}{4\pi\epsilon_0} = 9\times10^{9}\ \mathrm{N.m^2/C^2}$ )

PhysicsJEE Main 28 Jan 2026, Shift 2·Q16·MCQ·Easy–moderate

Identify the correct statements:

A.	Electrostatic field lines form closed loops.
B.	The electric field lines point radially outward when charge is greater than zero.
C.	The Gauss-Law is valid only for inverse-square force.
D.	The work done in moving a charged particle in a static electric field around a closed path is zero.
E.	The motion of a particle under Coulomb's force must take place in a plane.

Choose the correct answer from the options given below:

(1)A, B, D, E Only
(2)A, B, C, D Only
(3)B, C, D, E Only
(4)A, C, E Only

We corrected a printing error in the original paper

Source printed “The workdone”.

PhysicsJEE Main 2 Apr 2026, Shift 2·Q14·MCQ·Moderate
Open
Two metal plates (A, B) are kept horizontally with separation of $\left(\dfrac{12}{\pi}\right)$ cm, with plate A on the top. An atomizer jet sprays oil (density $1.5\ \mathrm{g/cm^3}$ ) droplets of radius 1 mm horizontally. All oil droplets carry a charge 5 nC. The potentials $V_A$ and $V_B$ are required on plates A and B respectively in order to ensure the droplets do not descend. The values of $V_A$ and $V_B$ are . (Neglect the air resistance to the droplets and take $g = 10\ \mathrm{m/s^2}$ )
1. (1)100 V and 580 V
2. (2)580 V and 100 V
3. (3)60 V and 400 V
4. (4)0 V and $-200$ V
PhysicsJEE Main 6 Apr 2026, Shift 1·Q13·MCQ·Easy–moderate
Open
A thin half ring of radius 35 cm is uniformly charged with a total charge of Q coulomb. If the magnitude of the electric field at centre of the half ring is 100 V/m, then the value of Q is nC. ( $\epsilon_0 = 8.85\times10^{-12}\ \mathrm{C^2/Nm^2}$ and $\pi = 3.14$ )
1. (1)2.14
2. (2)2.44
3. (3)3.25
4. (4)0.7

Electric dipole

PhysicsJEE Main 23 Jan 2026, Shift 2·Q6·MCQ·Moderate
Open
Two short dipoles ( $A$ , $B$ ), $A$ having charges $\pm\,2\ \mu$ C and length 1 cm and $B$ having charges $\pm\,4\ \mu$ C and length 1 cm are placed with their centres 80 cm apart as shown in the figure. The electric field at a point $P$ , equi-distant from the centres of both dipoles is N/C.
1. (1) $\dfrac{9}{16}\sqrt2\times10^{5}$
2. (2) $4.5\sqrt2\times10^{4}$
3. (3) $9\sqrt2\times10^{4}$
4. (4) $\dfrac{9}{16}\sqrt2\times10^{4}$
We corrected a printing error in the original paper
Source printed “Two shorts dipoles”.
PhysicsJEE Main 24 Jan 2026, Shift 1·Q2·MCQ·Easy–moderate
Open
Three charges $+2q$ , $+3q$ and $-4q$ are situated at $(0, -3a)$ , $(2a, 0)$ and $(-2a, 0)$ respectively in the $xy$ plane. The resultant dipole moment about origin is
1. (1) $2qa\left(3\hat j - \hat i\right)$
2. (2) $2qa\left(3\hat i - 7\hat j\right)$
3. (3) $2qa\left(7\hat i - 3\hat j\right)$
4. (4) $2qa\left(3\hat j - 7\hat i\right)$
We corrected a printing error in the original paper
Source printed “ $+2q$ . $+3q$ ” (full stop for the comma).
PhysicsJEE Main 2 Apr 2026, Shift 1·Q11·MCQ·Easy–moderate
Open
Two short electric dipoles A and B having dipole moment $p_1$ and $p_2$ respectively are placed with their axis mutually perpendicular as shown in the figure. The resultant electric field at a point x is making an angle of $60^\circ$ with the line joining points O and x. The ratio of the dipole moments $p_2/p_1$ is .
1. (1) $\dfrac{\sqrt3}{2}$
2. (2) $2\sqrt3$
3. (3) $\dfrac{1}{\sqrt3}$
4. (4) $\sqrt3$
PhysicsJEE Main 4 Apr 2026, Shift 2·Q11·MCQ·Moderate
Open
A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an electric field $\vec E_1 = E_0\hat x$ . If another electric field $\vec E_2 = 2E_0(\hat y + \hat z)$ is introduced to the system, what will be the percentage change in the frequency of the oscillation (approximate)?
1. (1)73%
2. (2)63%
3. (3)83%
4. (4)53%

Gauss's law

PhysicsJEE Main 23 Jan 2026, Shift 1·Q15·MCQ·Easy–moderate
Open
Two point charges 2q and q are placed at vertex A and centre of face CDEF of the cube as shown in figure. The electric flux passing through the cube is:
1. (1) $\dfrac{3q}{\varepsilon_0}$
2. (2) $\dfrac{q}{\varepsilon_0}$
3. (3) $\dfrac{3q}{2\varepsilon_0}$
4. (4) $\dfrac{3q}{4\varepsilon_0}$
PhysicsJEE Main 2 Apr 2026, Shift 2·Q15·MCQ·Easy–moderate
Open
Two point charges $8\ \mu$ C and $-2\ \mu$ C are located at $x = 2$ cm and $x = 4$ cm, respectively on the x-axis. The ratio of electric flux due to these charges through two spheres of radii 3 cm and 5 cm with their centers at the origin is .
1. (1) $4:1$
2. (2) $3:4$
3. (3) $4:3$
4. (4) $4:5$

Charge and Coulomb's law

PhysicsJEE Main 8 Apr 2026, Shift 2·Q16·MCQ·Easy–moderate
Open
Two point charges $q_1 = 3\ \mu$ C and $q_2 = -4\ \mu$ C are placed at points $(2\hat i + 3\hat j + 3\hat k)$ and $(\hat i + \hat j + \hat k)$ respectively. Force on charge $q_2$ is N. $\left(\text{Take } \dfrac{1}{4\pi\epsilon_0} = 9\times10^{9}\ \text{SI Units}\right)$
1. (1) $(12\hat i + 24\hat j + 24\hat k)\times10^{-3}$
2. (2) $(4\hat i + 8\hat j + 8\hat k)\times10^{-3}$
3. (3) $(3\hat i + 6\hat j + 6\hat k)\times10^{-3}$
4. (4) $(-4\hat i - 8\hat j - 8\hat k)\times10^{-3}$