JEE Advanced Previous Year Questions (2021-2023): Electrostatic Potential & Capacitance | Physics for JEE Main & Advanced PDF Download

 Page 1


JEE Advanced Previous Year Questions 
(2021-2023): Electrostatic Potential & 
Capacitance 
2023 
Single Correct Type 
Q1. A container has a base of ???? ???? × ?? ???? and height ???? ???? , as shown in the figure. It has two 
parallel electrically conducting walls each of area ???? ???? × ???? ???? . The remaining walls of the 
container are thin and non-conducting. The container is being filled with a liquid of dielectric 
constant 3 at a uniform rate of ?????? ????
?? ?? -?? . What is the value of the capacitance of the container 
after 10 seconds? 
[Given: Permittivity of free space ?? ?? = ?? × ????
-????
?? ?? ?? -?? ?? -?? , the effects of the non-conducting walls 
on the capacitance are negligible] 
 
A. ???????? 
B. ???????? 
C. ???????? 
D. ?????????? [JEE Advanced 2023 Paper 1 Online] 
Ans: (B) 
Page 2


JEE Advanced Previous Year Questions 
(2021-2023): Electrostatic Potential & 
Capacitance 
2023 
Single Correct Type 
Q1. A container has a base of ???? ???? × ?? ???? and height ???? ???? , as shown in the figure. It has two 
parallel electrically conducting walls each of area ???? ???? × ???? ???? . The remaining walls of the 
container are thin and non-conducting. The container is being filled with a liquid of dielectric 
constant 3 at a uniform rate of ?????? ????
?? ?? -?? . What is the value of the capacitance of the container 
after 10 seconds? 
[Given: Permittivity of free space ?? ?? = ?? × ????
-????
?? ?? ?? -?? ?? -?? , the effects of the non-conducting walls 
on the capacitance are negligible] 
 
A. ???????? 
B. ???????? 
C. ???????? 
D. ?????????? [JEE Advanced 2023 Paper 1 Online] 
Ans: (B) 
 
Volume of dielectric filled in 10sec 
= 250 × 10 = 2500 cm
3
 
h × 50 × 5 = 2500 
? h = 10 cm 
 
?? 1
 =
?? 0
?? 1
?? , ?? 2
=
?? 0
?? 2
?? ?? ?? 1
 = 50 × ( 50 - h)
?? 2
 = 50 × h
?? eq 
 = ?? 1
+ ?? 2
 =
?? 0
50( 50 - h) cm
2
5 cm
+
3 × ?? 0
× 50 × h
5 cm
 = ?? 0
[
50 × 40
5
+
3 × 50 × 10
5
] × 10
-2
 = 7?? 0
= 63 × 10
-12
 = 63pF
 
 
Page 3


JEE Advanced Previous Year Questions 
(2021-2023): Electrostatic Potential & 
Capacitance 
2023 
Single Correct Type 
Q1. A container has a base of ???? ???? × ?? ???? and height ???? ???? , as shown in the figure. It has two 
parallel electrically conducting walls each of area ???? ???? × ???? ???? . The remaining walls of the 
container are thin and non-conducting. The container is being filled with a liquid of dielectric 
constant 3 at a uniform rate of ?????? ????
?? ?? -?? . What is the value of the capacitance of the container 
after 10 seconds? 
[Given: Permittivity of free space ?? ?? = ?? × ????
-????
?? ?? ?? -?? ?? -?? , the effects of the non-conducting walls 
on the capacitance are negligible] 
 
A. ???????? 
B. ???????? 
C. ???????? 
D. ?????????? [JEE Advanced 2023 Paper 1 Online] 
Ans: (B) 
 
Volume of dielectric filled in 10sec 
= 250 × 10 = 2500 cm
3
 
h × 50 × 5 = 2500 
? h = 10 cm 
 
?? 1
 =
?? 0
?? 1
?? , ?? 2
=
?? 0
?? 2
?? ?? ?? 1
 = 50 × ( 50 - h)
?? 2
 = 50 × h
?? eq 
 = ?? 1
+ ?? 2
 =
?? 0
50( 50 - h) cm
2
5 cm
+
3 × ?? 0
× 50 × h
5 cm
 = ?? 0
[
50 × 40
5
+
3 × 50 × 10
5
] × 10
-2
 = 7?? 0
= 63 × 10
-12
 = 63pF
 
 
Multiple Correct Type 
JEE Advanced 2023 Paper 1 Online 
Q2. In a circuit shown in the figure, the capacitor ?? is initially uncharged and the key ?? is open. In 
this condition, a current of ?? ?? flows through the ???? resistor. The key is closed at time ?? = ?? ?? . 
Which of the following statement(s) is(are) correct? 
[Given: ?? -?? = ?? . ???? ] 
 
A. The value of the resistance ?? is ???? . 
B. For ?? < ?? ?? , the value of current ?? ?? is ?? ?? . 
C. At ?? = ?? ?? + ?? . ?? ?? ?? , the current in the capacitor is ?? . ?? ?? . 
D. For ?? ? 8, the charge on the capacitor is ???? ?? ?? . 
Ans: (A,B,C,D) 
At ?? < ?? 0
 
 
 
Page 4


JEE Advanced Previous Year Questions 
(2021-2023): Electrostatic Potential & 
Capacitance 
2023 
Single Correct Type 
Q1. A container has a base of ???? ???? × ?? ???? and height ???? ???? , as shown in the figure. It has two 
parallel electrically conducting walls each of area ???? ???? × ???? ???? . The remaining walls of the 
container are thin and non-conducting. The container is being filled with a liquid of dielectric 
constant 3 at a uniform rate of ?????? ????
?? ?? -?? . What is the value of the capacitance of the container 
after 10 seconds? 
[Given: Permittivity of free space ?? ?? = ?? × ????
-????
?? ?? ?? -?? ?? -?? , the effects of the non-conducting walls 
on the capacitance are negligible] 
 
A. ???????? 
B. ???????? 
C. ???????? 
D. ?????????? [JEE Advanced 2023 Paper 1 Online] 
Ans: (B) 
 
Volume of dielectric filled in 10sec 
= 250 × 10 = 2500 cm
3
 
h × 50 × 5 = 2500 
? h = 10 cm 
 
?? 1
 =
?? 0
?? 1
?? , ?? 2
=
?? 0
?? 2
?? ?? ?? 1
 = 50 × ( 50 - h)
?? 2
 = 50 × h
?? eq 
 = ?? 1
+ ?? 2
 =
?? 0
50( 50 - h) cm
2
5 cm
+
3 × ?? 0
× 50 × h
5 cm
 = ?? 0
[
50 × 40
5
+
3 × 50 × 10
5
] × 10
-2
 = 7?? 0
= 63 × 10
-12
 = 63pF
 
 
Multiple Correct Type 
JEE Advanced 2023 Paper 1 Online 
Q2. In a circuit shown in the figure, the capacitor ?? is initially uncharged and the key ?? is open. In 
this condition, a current of ?? ?? flows through the ???? resistor. The key is closed at time ?? = ?? ?? . 
Which of the following statement(s) is(are) correct? 
[Given: ?? -?? = ?? . ???? ] 
 
A. The value of the resistance ?? is ???? . 
B. For ?? < ?? ?? , the value of current ?? ?? is ?? ?? . 
C. At ?? = ?? ?? + ?? . ?? ?? ?? , the current in the capacitor is ?? . ?? ?? . 
D. For ?? ? 8, the charge on the capacitor is ???? ?? ?? . 
Ans: (A,B,C,D) 
At ?? < ?? 0
 
 
 
? 
 
? 
15 × 3
3 + ?? -
45
3 + ?? 
 
 
At ?? < ?? 0
 
Page 5


JEE Advanced Previous Year Questions 
(2021-2023): Electrostatic Potential & 
Capacitance 
2023 
Single Correct Type 
Q1. A container has a base of ???? ???? × ?? ???? and height ???? ???? , as shown in the figure. It has two 
parallel electrically conducting walls each of area ???? ???? × ???? ???? . The remaining walls of the 
container are thin and non-conducting. The container is being filled with a liquid of dielectric 
constant 3 at a uniform rate of ?????? ????
?? ?? -?? . What is the value of the capacitance of the container 
after 10 seconds? 
[Given: Permittivity of free space ?? ?? = ?? × ????
-????
?? ?? ?? -?? ?? -?? , the effects of the non-conducting walls 
on the capacitance are negligible] 
 
A. ???????? 
B. ???????? 
C. ???????? 
D. ?????????? [JEE Advanced 2023 Paper 1 Online] 
Ans: (B) 
 
Volume of dielectric filled in 10sec 
= 250 × 10 = 2500 cm
3
 
h × 50 × 5 = 2500 
? h = 10 cm 
 
?? 1
 =
?? 0
?? 1
?? , ?? 2
=
?? 0
?? 2
?? ?? ?? 1
 = 50 × ( 50 - h)
?? 2
 = 50 × h
?? eq 
 = ?? 1
+ ?? 2
 =
?? 0
50( 50 - h) cm
2
5 cm
+
3 × ?? 0
× 50 × h
5 cm
 = ?? 0
[
50 × 40
5
+
3 × 50 × 10
5
] × 10
-2
 = 7?? 0
= 63 × 10
-12
 = 63pF
 
 
Multiple Correct Type 
JEE Advanced 2023 Paper 1 Online 
Q2. In a circuit shown in the figure, the capacitor ?? is initially uncharged and the key ?? is open. In 
this condition, a current of ?? ?? flows through the ???? resistor. The key is closed at time ?? = ?? ?? . 
Which of the following statement(s) is(are) correct? 
[Given: ?? -?? = ?? . ???? ] 
 
A. The value of the resistance ?? is ???? . 
B. For ?? < ?? ?? , the value of current ?? ?? is ?? ?? . 
C. At ?? = ?? ?? + ?? . ?? ?? ?? , the current in the capacitor is ?? . ?? ?? . 
D. For ?? ? 8, the charge on the capacitor is ???? ?? ?? . 
Ans: (A,B,C,D) 
At ?? < ?? 0
 
 
 
? 
 
? 
15 × 3
3 + ?? -
45
3 + ?? 
 
 
At ?? < ?? 0
 
?? =
(
45
3 + ?? )- 5
1 =
3?? 3 + ?? 
1 =
45 - 15 - 5?? 3 + 4?? 
? ?? = 3O 
(A) is correct. 
?? 1
=
15
2
3 +
3
4
? ?? 1
= 2 A 
(B) is correct. 
At ?? > ?? 0
 
 
?? ?? =
15
3
+
5
1
+
0
3
1
?? =
1
3
+
1
1
+
1
3
=
5
3
?? = 10 ×
3
5
? 6 V
 
At ?? ? 8 
?? = C?? = 2 × 10
-6
× 6 = 12?? C
 
Time constant ?? = ???? 
= ( ?? + 3) 2?? C 
= (
3
5
+ 3) × 12 = 7.2?? s 
?? = ?? . ?? -?? /??