JEE-ADVANCED SERIES Physics
Electrostatic Potential And Capacitance
18 previous year questions.
Volume: 18 Ques
Yield: Medium
High-Yield Trend
1
2024 2
2023 4
2022 2
2020 1
2012 1
2007 1
2006 1
2004 1
2001 2
1998 2
1997 Chapter Questions 18 MCQs
01
PYQ 1997
medium
physics ID: jee-adva
A non-conducting ring of radius 0.5 m carries a total charge of distributed non-uniformly on its circumference producing an electric field E everywhere in space. The value of the integral (l = 0 being centre of the ring) in volt is
1
2
2
1
3
-2
4
zero
02
PYQ 1997
medium
physics ID: jee-adva
An electron of mass , initially at rest, moves through a certain distance in a uniform electric field in time A proton of mass , also, initially at rest, takes time to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio l is nearly equal to
1
1
2
3
4
1836
03
PYQ 1998
medium
physics ID: jee-adva
A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its centre
1
increases as r increases for r < R
2
decreases as r increases for 0 < r <
3
decreases as r increases for R < r <
4
is discontinuous a r = R
04
PYQ 1998
medium
physics ID: jee-adva
A charge + q is fixed at each of the points on the x-axis and a charge - q is fixed at each of the points Here, is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Then the potential at the origin due to the above system of charges is
1
zero
2
3
infinite
4
05
PYQ 2001
medium
physics ID: jee-adva
A uniform electric field pointing in positive x-direction exists in a region let Abe the orgin B be the point on the x-axis at x = +1 cm and C be the point on the Y axis at y = +1cm. Then the potentials at the points A, B and C satisfy
1
2
3
4
06
PYQ 2004
medium
physics ID: jee-adva
Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R Which of the following arrangements of charge is possible for, P, Q, R, S, T and U respectively ?
1
+,-,+,-,-,+
2
+,-,+,-,+,-
3
+,+,-,+,-,-
4
-,+,+,-,+,-
07
PYQ 2006
medium
physics ID: jee-adva
For spherical symmetrical charge distribution, variation of electric potential with distance from centre is given in diagram. Given that and Then, which option(s) are correct
1
Total charge within is q
2
Total electrostatic energy for is zero
3
At electric field is discontinuous
4
There will be no charge anywhere except at
08
PYQ 2007
medium
physics ID: jee-adva
For inside points For inside points or and or On the surface (r = R) where, surface charge density corresponding to above equations the correct graphs are shown in option (d).
1
positive
2
negative
3
zero
4
depends on the path connecting the initial and final positions
09
PYQ 2012
easy
physics ID: jee-adva
Consider a thin spherical shell of radius with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field and the electric potential with the distance from the centre, is best represented by which graph?
1
2
3
4
10
PYQ 2020
medium
physics ID: jee-adva
A circular disc of radius carries surface charge density , where is a constant and is the distance from the center of the disc. Electric flux through a large spherical surface that encloses the charged disc completely is . Electric flux through another spherical surface of radius and concentric with the disc is . Then the ratio is ______
11
PYQ 2020
medium
physics ID: jee-adva
A uniform electric field, is applied in a region. A charged particle of mass carrying positive charge is projected in this region with an initial speed of . This particle is aimed to hit a target , which is away from its entry point into the field as shown schematically in the figure Take . Then 
1
the particle will hit if projected at an angle from the horizontal
2
the particle will hit if projected either at an angle or from the horizontal
3
time taken by the particle to hit T could be as well as
4
time taken by the particle to hit is
12
PYQ 2022
hard
physics ID: jee-adva
Six charges are placed around a regular hexagon of side length a as shown in the figure Five of them have charge , and the remaining one has charge The perpendicular from each charge to the nearest hexagon side passes through the center of the hexagon and is bisected by the side Which of the following statement(s) is(are) correct in SI units?
1
When , the magnitude of the electric field at is zero.
2
When , the magnitude of the electric field at is .
3
When , the potential at is .
4
When , the potential at is .
13
PYQ 2022
medium
physics ID: jee-adva
Six charges are placed around a regular hexagon of side length a as shown in the figure Five of them have charge , and the remaining one has charge The perpendicular from each charge to the nearest hexagon side passes through the center of the hexagon and is bisected by the side Which of the following statement(s) is(are) correct in SI units?
1
When , the magnitude of the electric field at is zero.
2
When , the magnitude of the electric field at is .
3
When , the potential at is .
4
When , the potential at is .
14
PYQ 2022
hard
physics ID: jee-adva
In the following circuit and .The Charge stored in is ___
15
PYQ 2022
medium
physics ID: jee-adva
In the following circuit and .The Charge stored in is ___
16
PYQ 2023
medium
physics ID: jee-adva
In the following circuit and The Charge stored in is ___
17
PYQ 2023
hard
physics ID: jee-adva
A medium having dielectric constant fills the space between the plates of a parallel plate capacitor The plates have large area, and the distance between them is The capacitor is connected to a battery of voltage as shown in Figure (a) Now, both the plates are moved by a distance of from their original positions, as shown in Figure (b)
In the process of going from the configuration depicted in Figure (a) to that in Figure (b), which of the following statement(s) is(are) correct?
In the process of going from the configuration depicted in Figure (a) to that in Figure (b), which of the following statement(s) is(are) correct?
1
The electric field inside the dielectric material is reduced by a factor of .
2
The capacitance is decreased by a factor of .
3
The voltage between the capacitor plates is increased by a factor of .
4
The work done in the process DOES NOT depend on the presence of the dielectric material.
18
PYQ 2024
easy
physics ID: jee-adva
An infinitely long thin wire, having a uniform charge density per unit length of is passing through a spherical shell of radius , as shown in the figure. A charge is distributed uniformly over the spherical shell. If the configuration of the charges remains static, the magnitude of the potential difference between points P and R, in Volt, is ______. [Given: In SI units . Ignore the area pierced by the wire.]
