JEE Advanced Previous Year Questions (2021-2023): Electric Charges and Fields | Physics for JEE Main & Advanced PDF Download

 Page 1


JEE Advanced Previous Year Questions 
(2021-2023): Electric s e g r a h C  and s d l e i F  
2023 
Single Correct Type Questions 
Q1. An electric dipole is formed by two charges +?? and -?? located in ???? -plane at (?? ,?? )???? and 
(?? ,-?? )???? , respectively, as shown in the figure. The electric potential at point ?? (?????? ,?????? )???? due 
to the dipole is ?? ?? . The charges +?? and -?? are then moved to the points (-?? ,?? )???? and (?? ,-?? )???? , 
respectively. What is the value of electric potential at ?? due to the new dipole? 
A 
?? ?? ?? 
B 
?? ?? ?? 
C 
?? ?? v?? 
(D) 
?? ?? ?? ?? 
JEE Advanced 2023 Paper 2 Online 
 
Ans: (B) 
?? 1
?
?? 1
cos??? 1
?? 1
3
 
Page 2


JEE Advanced Previous Year Questions 
(2021-2023): Electric s e g r a h C  and s d l e i F  
2023 
Single Correct Type Questions 
Q1. An electric dipole is formed by two charges +?? and -?? located in ???? -plane at (?? ,?? )???? and 
(?? ,-?? )???? , respectively, as shown in the figure. The electric potential at point ?? (?????? ,?????? )???? due 
to the dipole is ?? ?? . The charges +?? and -?? are then moved to the points (-?? ,?? )???? and (?? ,-?? )???? , 
respectively. What is the value of electric potential at ?? due to the new dipole? 
A 
?? ?? ?? 
B 
?? ?? ?? 
C 
?? ?? v?? 
(D) 
?? ?? ?? ?? 
JEE Advanced 2023 Paper 2 Online 
 
Ans: (B) 
?? 1
?
?? 1
cos??? 1
?? 1
3
 
 
?? 2
?
?? 2
cos??? 2
?? 2
3
 
 
?? 2
?? 1
=
?? 2
cos??? 2
?? 1
cos??? 1
?? 2
?? 1
=
?? (-2??ˆ + 4??ˆ)· (??ˆ + ??ˆ)
?? (0??ˆ + 4??ˆ)· (??ˆ + ??ˆ)
=
1
2
?? ?? 2
=
?? 0
2
 
 
2022 
Numerical Type 
Q1. A charge ?? is surrounded by a closed surface consisting of an inverted cone of height ?? and 
base radius ?? , and a hemisphere of radius ?? as shown in the figure. The electric flux through the 
conical surface is 
????
?? ?? ?? (in ???? units). The value of ?? is [JEE Advanced 2022 Paper 2 Online] 
Page 3


JEE Advanced Previous Year Questions 
(2021-2023): Electric s e g r a h C  and s d l e i F  
2023 
Single Correct Type Questions 
Q1. An electric dipole is formed by two charges +?? and -?? located in ???? -plane at (?? ,?? )???? and 
(?? ,-?? )???? , respectively, as shown in the figure. The electric potential at point ?? (?????? ,?????? )???? due 
to the dipole is ?? ?? . The charges +?? and -?? are then moved to the points (-?? ,?? )???? and (?? ,-?? )???? , 
respectively. What is the value of electric potential at ?? due to the new dipole? 
A 
?? ?? ?? 
B 
?? ?? ?? 
C 
?? ?? v?? 
(D) 
?? ?? ?? ?? 
JEE Advanced 2023 Paper 2 Online 
 
Ans: (B) 
?? 1
?
?? 1
cos??? 1
?? 1
3
 
 
?? 2
?
?? 2
cos??? 2
?? 2
3
 
 
?? 2
?? 1
=
?? 2
cos??? 2
?? 1
cos??? 1
?? 2
?? 1
=
?? (-2??ˆ + 4??ˆ)· (??ˆ + ??ˆ)
?? (0??ˆ + 4??ˆ)· (??ˆ + ??ˆ)
=
1
2
?? ?? 2
=
?? 0
2
 
 
2022 
Numerical Type 
Q1. A charge ?? is surrounded by a closed surface consisting of an inverted cone of height ?? and 
base radius ?? , and a hemisphere of radius ?? as shown in the figure. The electric flux through the 
conical surface is 
????
?? ?? ?? (in ???? units). The value of ?? is [JEE Advanced 2022 Paper 2 Online] 
 
Ans: 3 
Sol. From Gauss law, 
?? hemisphere 
+ ?? Cone 
=
q
?? 0
 
Total flux produced from q in ?? angle 
?? =
q
2?? 0
[1 - cos??? ] 
For hemisphere, ?? =
?? 2
 
?? hemisphere 
? =
q
2?? 0
 
From equation (1) 
=
q
2?? 0
+ ?? cone 
=
q
?? 0
 
?? cone 
=
q
2?? 0
 
4?? 6?? 0
=
?? 2?? 0
 
n = 3 
Multiple Correct Type 
Q2. In the figure, the inner (shaded) region ?? represents a sphere of radius ?? ?? = ?? , within which the 
electrostatic charge density varies with the radial distance ?? from the center as ?? ?? = ???? , where ?? is 
Page 4


JEE Advanced Previous Year Questions 
(2021-2023): Electric s e g r a h C  and s d l e i F  
2023 
Single Correct Type Questions 
Q1. An electric dipole is formed by two charges +?? and -?? located in ???? -plane at (?? ,?? )???? and 
(?? ,-?? )???? , respectively, as shown in the figure. The electric potential at point ?? (?????? ,?????? )???? due 
to the dipole is ?? ?? . The charges +?? and -?? are then moved to the points (-?? ,?? )???? and (?? ,-?? )???? , 
respectively. What is the value of electric potential at ?? due to the new dipole? 
A 
?? ?? ?? 
B 
?? ?? ?? 
C 
?? ?? v?? 
(D) 
?? ?? ?? ?? 
JEE Advanced 2023 Paper 2 Online 
 
Ans: (B) 
?? 1
?
?? 1
cos??? 1
?? 1
3
 
 
?? 2
?
?? 2
cos??? 2
?? 2
3
 
 
?? 2
?? 1
=
?? 2
cos??? 2
?? 1
cos??? 1
?? 2
?? 1
=
?? (-2??ˆ + 4??ˆ)· (??ˆ + ??ˆ)
?? (0??ˆ + 4??ˆ)· (??ˆ + ??ˆ)
=
1
2
?? ?? 2
=
?? 0
2
 
 
2022 
Numerical Type 
Q1. A charge ?? is surrounded by a closed surface consisting of an inverted cone of height ?? and 
base radius ?? , and a hemisphere of radius ?? as shown in the figure. The electric flux through the 
conical surface is 
????
?? ?? ?? (in ???? units). The value of ?? is [JEE Advanced 2022 Paper 2 Online] 
 
Ans: 3 
Sol. From Gauss law, 
?? hemisphere 
+ ?? Cone 
=
q
?? 0
 
Total flux produced from q in ?? angle 
?? =
q
2?? 0
[1 - cos??? ] 
For hemisphere, ?? =
?? 2
 
?? hemisphere 
? =
q
2?? 0
 
From equation (1) 
=
q
2?? 0
+ ?? cone 
=
q
?? 0
 
?? cone 
=
q
2?? 0
 
4?? 6?? 0
=
?? 2?? 0
 
n = 3 
Multiple Correct Type 
Q2. In the figure, the inner (shaded) region ?? represents a sphere of radius ?? ?? = ?? , within which the 
electrostatic charge density varies with the radial distance ?? from the center as ?? ?? = ???? , where ?? is 
positive. In the spherical shell ?? of outer radius ?? ?? , the electrostatic charge density varies as 
?? ?? =
?? ?? ?? . Assume that dimensions are taken care of. All physical quantities are in their SI units. 
Which of the following statement(s) is(are) correct? 
 
A If ?? ?? = v
?? ?? , then the electric field is zero everywhere outside ?? . 
B If ?? ?? =
?? ?? , then the electric potential just outside ?? is 
?? ?? ?? . 
C If ?? ?? = ?? , then the total charge of the configuration is ???? ???? . 
D If ?? ?? =
?? ?? , then the magnitude of the electric field just outside ?? is 
???? ????
?? ?? . 
 
[JEE Advanced 2022 Paper 2 Online] 
 
Ans: (B) 
 
Page 5


JEE Advanced Previous Year Questions 
(2021-2023): Electric s e g r a h C  and s d l e i F  
2023 
Single Correct Type Questions 
Q1. An electric dipole is formed by two charges +?? and -?? located in ???? -plane at (?? ,?? )???? and 
(?? ,-?? )???? , respectively, as shown in the figure. The electric potential at point ?? (?????? ,?????? )???? due 
to the dipole is ?? ?? . The charges +?? and -?? are then moved to the points (-?? ,?? )???? and (?? ,-?? )???? , 
respectively. What is the value of electric potential at ?? due to the new dipole? 
A 
?? ?? ?? 
B 
?? ?? ?? 
C 
?? ?? v?? 
(D) 
?? ?? ?? ?? 
JEE Advanced 2023 Paper 2 Online 
 
Ans: (B) 
?? 1
?
?? 1
cos??? 1
?? 1
3
 
 
?? 2
?
?? 2
cos??? 2
?? 2
3
 
 
?? 2
?? 1
=
?? 2
cos??? 2
?? 1
cos??? 1
?? 2
?? 1
=
?? (-2??ˆ + 4??ˆ)· (??ˆ + ??ˆ)
?? (0??ˆ + 4??ˆ)· (??ˆ + ??ˆ)
=
1
2
?? ?? 2
=
?? 0
2
 
 
2022 
Numerical Type 
Q1. A charge ?? is surrounded by a closed surface consisting of an inverted cone of height ?? and 
base radius ?? , and a hemisphere of radius ?? as shown in the figure. The electric flux through the 
conical surface is 
????
?? ?? ?? (in ???? units). The value of ?? is [JEE Advanced 2022 Paper 2 Online] 
 
Ans: 3 
Sol. From Gauss law, 
?? hemisphere 
+ ?? Cone 
=
q
?? 0
 
Total flux produced from q in ?? angle 
?? =
q
2?? 0
[1 - cos??? ] 
For hemisphere, ?? =
?? 2
 
?? hemisphere 
? =
q
2?? 0
 
From equation (1) 
=
q
2?? 0
+ ?? cone 
=
q
?? 0
 
?? cone 
=
q
2?? 0
 
4?? 6?? 0
=
?? 2?? 0
 
n = 3 
Multiple Correct Type 
Q2. In the figure, the inner (shaded) region ?? represents a sphere of radius ?? ?? = ?? , within which the 
electrostatic charge density varies with the radial distance ?? from the center as ?? ?? = ???? , where ?? is 
positive. In the spherical shell ?? of outer radius ?? ?? , the electrostatic charge density varies as 
?? ?? =
?? ?? ?? . Assume that dimensions are taken care of. All physical quantities are in their SI units. 
Which of the following statement(s) is(are) correct? 
 
A If ?? ?? = v
?? ?? , then the electric field is zero everywhere outside ?? . 
B If ?? ?? =
?? ?? , then the electric potential just outside ?? is 
?? ?? ?? . 
C If ?? ?? = ?? , then the total charge of the configuration is ???? ???? . 
D If ?? ?? =
?? ?? , then the magnitude of the electric field just outside ?? is 
???? ????
?? ?? . 
 
[JEE Advanced 2022 Paper 2 Online] 
 
Ans: (B) 
 
?? Total 
?= ? ?
?? ?? 0
????? (4?? ?? 2
)???? + ? ?
?? ?? ?? ?? ?
2?? ?? (4?? ?? 2
)????
?=
4????
4
?? ?? 4
+
8????
2
(?? ?? 2
- ?? ?? 2
)
?= ???? + 4???? (?? ?? 2
- ?? ?? 2
)
 
(A) If r
B
= v
3
2
,?? ?? = 1 
Q
total 
= ???? ?? ?? 4
+ 4???? (
3
2
- ?? ?? 2
)
?= ???? + 4???? (
3
2
- 1)
?= 3????
 
(B) If ?? ?? =
3
2
&?? ?? = 1 
Q
total 
= ???? ?? ?? 4
+ 4???? (
9
4
- 1)
?= 6???? V =
1
4?? ?? 0
(
6????
?? ?? ) =
?? ?? 0
 
Hence, ?V =
?? ?? 0
 
(C) If ?? ?? = 2 
Q
total 
= 13?? ?? 
(D) If ?? ?? = 5/2 
?? total 
= 22????
?? =
1
4?? ?? 0
(22???? )
25
× 4
?? ?? =
22?? 25?? 0
 
Q3. A disk of radius ?? with uniform positive charge density ?? is placed on the ???? plane with its 
center at the origin. The Coulomb potential along the ?? -axis is 
?? (?? ) =
?? ?? ?? ?? (v
?? ?? + ?? ?? - ?? ). 
A particle of positive charge ?? is placed initially at rest at a point on the ?? axis with ?? = ?? ?? and 
?? ?? > ?? . In addition to the Coulomb force, the particle experiences a vertical force ?? ? ? 
= -?? ?? ˆ
 with 
?? > ?? . Let ?? =
?? ?? ?? ?? ????
. 
Which of the following statement(s) is(are) correct? 
A For ?? =
?? ?? and ?? ?? =
????
?? ?? , the particle reaches the origin. 
B For ?? =
?? ?? and ?? ?? =
?? ?? ?? , the particle reaches the origin.