BITSAT PYQs for Electrostatic Potential and Capacitance with Solutions: Practice BITSAT Previous Year Questions

Updated 3+ months ago

Electrostatic Potential and Capacitance is an important topic in the Physics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.

This article gives you a full set of BITSAT PYQs for Electrostatic Potential and Capacitance with explanations for effective preparation. Practice of BITSAT Physics PYQs including Electrostatic Potential and Capacitance questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.

BITSAT PYQs for Electrostatic Potential and Capacitance with Solutions

1.
In the given circuit, $E_1 = E_2 = E_3 = 2V$ and $R_1 = R_2 = 4\Omega$, then the current flowing through the branch AB is:
- $0$
- $2A$ from A to B
- $2A$ from B to A
- $5A$ from B to B
View Solution
2.
The electrostatic force $ \mathbf{F_1} $ and magnetic force $ \mathbf{F_2} $ acting on a charge $ q $ moving with velocity $ v $ can be written as:
- $ \vec{F_1} = q \vec{v} \cdot \vec{E}, \vec{F_2} = q(\vec{B} \cdot \vec{v}) $
- $ \vec{F_1} = q \vec{B}, \vec{F_2} = q(\vec{B} \times \vec{v}) $
- $ \vec{F_1} = q \vec{E}, \vec{F_2} = q(\vec{v} \times \vec{B}) $
- $ \vec{F_1} = q \vec{E}, \vec{F_2} = q(\vec{B} \times \vec{v}) $
View Solution
3.
Electric potential at any point is $V = - 5x + 3y + \sqrt {15 z}, $then the magnitude of the electric field is
- $3\sqrt {2}$
- $4\sqrt {2}$
- $5\sqrt {2}$
- 7
View Solution
4.
The distance travelled by a particle starting from rest and moving with an acceleration $ \frac{4}{3} $ ms$^{-2} $, in the third second is:
- $ 6 $ m
- $ 4 $ m
- $ \frac{10}{3} $ m
- $ \frac{19}{3} $ m
View Solution
5.
The straight wire AB carries a current $I$. The ends of the wire subtend angles $\theta_1$ and $\theta_2$ at the point $P$ as shown in the figure. The magnetic field at the point $P$ is:
- $\frac{\mu_0 I}{4\pi d} (\sin \theta_1 - \sin \theta_2)$
- $\frac{\mu_0 I}{4\pi d} (\sin \theta_1 + \sin \theta_2)$
- $\frac{\mu_0 I}{4\pi d} (\cos \theta_1 - \cos \theta_2)$
- $\frac{\mu_0 I}{4\pi d} (\cos \theta_1 + \cos \theta_2)$
View Solution
6.
A particle executes simple harmonic motion between $ x = -A $ and $ x = +A $. If the time taken by the particle to go from $ x = 0 $ to $ \frac{A}{2} $ is 2 s, then the time taken by the particle in going from $ x = \frac{A}{2} $ to $ A $ is:
- 3 s
- 2 s
- 1.5 s
- 4 s
View Solution
7.
Two bodies of mass $ 1 $ kg and $ 3 $ kg have position vectors $ \hat{i} + 2\hat{j} + \hat{k} $ and $ -3\hat{i} - 2\hat{j} + \hat{k} $ respectively. The magnitude of the position vector of the center of mass of this system will be similar to the magnitude of which vector?
- $ \hat{i} - 2\hat{j} + \hat{k} $
- $ -3\hat{i} - 2\hat{j} + \hat{k} $
- $ -2\hat{i} + 2\hat{k} $
- $ -2\hat{i} - \hat{j} + 2\hat{k} $
View Solution
8.
There are two long co-axial solenoids of the same length $ l $. The inner and outer coils have radii $ r_1 $ and $ r_2 $ and the number of turns per unit length $ n_1 $ and $ n_2 $, respectively. The ratio of mutual inductance to the self-inductance of the inner coil is:
- $ \frac{n_1}{n_2} $
- $ \frac{n_2}{n_1} \cdot \frac{r_1}{r_2} $
- $ \frac{n_2}{n_1} \cdot \frac{r_2^2}{r_1^2} $
- $ \frac{n_2}{n_1} $
View Solution
9.
Two wires of the same material (Young’s modulus $ Y $) and same length $ L $ but radii $ R $ and $ 2R $ respectively, are joined end to end and a weight $ W $ is suspended from the combination. The elastic potential energy in the system is:
- $ \frac{3W^2 L}{4 \pi R^2 Y} $
- $ \frac{3W^2 L}{8 \pi R^2 Y} $
- $ \frac{5W^2 L}{8 \pi R^2 Y} $
- $ \frac{W^2 L}{\pi R^2 Y} $
View Solution
10.
Five charges +q, +5q, -2q, +3q and -4q are situated as shown in the figure. The electric flux due to this configuration through the surface S is:
- 5q/ε0
- 4q/ε0
- 3q/ε0
- q/ε0
View Solution
11.
A projectile is projected with velocity of $ 40 $ m/s at an angle $ \theta $ with the horizontal. If $ R $ is the horizontal range covered by the projectile and after $ t $ seconds its inclination with horizontal becomes zero, then the value of $ \cot \theta $ is:
[Take, $ g = 10 $ m/s$ ^2 $]
- $ \frac{R}{20t^2} $
- $ \frac{R}{10t^2} $
- $ \frac{5R}{t^2} $
- $ \frac{R}{t^2} $
View Solution

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BITSAT PYQs for Electrostatic Potential and Capacitance with Solutions: Practice BITSAT Previous Year Questions

BITSAT PYQs for Electrostatic Potential and Capacitance with Solutions

1.
In the given circuit, \(E_1 = E_2 = E_3 = 2V\) and \(R_1 = R_2 = 4\Omega\), then the current flowing through the branch AB is:

2.
The electrostatic force \( \mathbf{F_1} \) and magnetic force \( \mathbf{F_2} \) acting on a charge \( q \) moving with velocity \( v \) can be written as:

3.
Electric potential at any point is $V = - 5x + 3y + \sqrt {15 z}, $then the magnitude of the electric field is

4.
The distance travelled by a particle starting from rest and moving with an acceleration \( \frac{4}{3} \) ms\(^{-2} \), in the third second is:

5.
The straight wire AB carries a current \(I\). The ends of the wire subtend angles \(\theta_1\) and \(\theta_2\) at the point \(P\) as shown in the figure. The magnetic field at the point \(P\) is:

6.
A particle executes simple harmonic motion between \( x = -A \) and \( x = +A \). If the time taken by the particle to go from \( x = 0 \) to \( \frac{A}{2} \) is 2 s, then the time taken by the particle in going from \( x = \frac{A}{2} \) to \( A \) is:

7.
Two bodies of mass \( 1 \) kg and \( 3 \) kg have position vectors \( \hat{i} + 2\hat{j} + \hat{k} \) and \( -3\hat{i} - 2\hat{j} + \hat{k} \) respectively. The magnitude of the position vector of the center of mass of this system will be similar to the magnitude of which vector?

8.
There are two long co-axial solenoids of the same length \( l \). The inner and outer coils have radii \( r_1 \) and \( r_2 \) and the number of turns per unit length \( n_1 \) and \( n_2 \), respectively. The ratio of mutual inductance to the self-inductance of the inner coil is:

9.
Two wires of the same material (Young’s modulus \( Y \)) and same length \( L \) but radii \( R \) and \( 2R \) respectively, are joined end to end and a weight \( W \) is suspended from the combination. The elastic potential energy in the system is:

10.
Five charges +q, +5q, -2q, +3q and -4q are situated as shown in the figure. The electric flux due to this configuration through the surface S is:

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BITSAT PYQs for Electrostatic Potential and Capacitance with Solutions

1.In the given circuit, \(E_1 = E_2 = E_3 = 2V\) and \(R_1 = R_2 = 4\Omega\), then the current flowing through the branch AB is:

2.The electrostatic force \( \mathbf{F_1} \) and magnetic force \( \mathbf{F_2} \) acting on a charge \( q \) moving with velocity \( v \) can be written as:

3.Electric potential at any point is $V = - 5x + 3y + \sqrt {15 z}, $then the magnitude of the electric field is

4.The distance travelled by a particle starting from rest and moving with an acceleration \( \frac{4}{3} \) ms\(^{-2} \), in the third second is:

5.The straight wire AB carries a current \(I\). The ends of the wire subtend angles \(\theta_1\) and \(\theta_2\) at the point \(P\) as shown in the figure. The magnetic field at the point \(P\) is:

6.A particle executes simple harmonic motion between \( x = -A \) and \( x = +A \). If the time taken by the particle to go from \( x = 0 \) to \( \frac{A}{2} \) is 2 s, then the time taken by the particle in going from \( x = \frac{A}{2} \) to \( A \) is:

7.Two bodies of mass \( 1 \) kg and \( 3 \) kg have position vectors \( \hat{i} + 2\hat{j} + \hat{k} \) and \( -3\hat{i} - 2\hat{j} + \hat{k} \) respectively. The magnitude of the position vector of the center of mass of this system will be similar to the magnitude of which vector?

8.There are two long co-axial solenoids of the same length \( l \). The inner and outer coils have radii \( r_1 \) and \( r_2 \) and the number of turns per unit length \( n_1 \) and \( n_2 \), respectively. The ratio of mutual inductance to the self-inductance of the inner coil is:

9.Two wires of the same material (Young’s modulus \( Y \)) and same length \( L \) but radii \( R \) and \( 2R \) respectively, are joined end to end and a weight \( W \) is suspended from the combination. The elastic potential energy in the system is:

10.Five charges +q, +5q, -2q, +3q and -4q are situated as shown in the figure. The electric flux due to this configuration through the surface S is:

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1.
In the given circuit, \(E_1 = E_2 = E_3 = 2V\) and \(R_1 = R_2 = 4\Omega\), then the current flowing through the branch AB is:

2.
The electrostatic force \( \mathbf{F_1} \) and magnetic force \( \mathbf{F_2} \) acting on a charge \( q \) moving with velocity \( v \) can be written as:

3.
Electric potential at any point is $V = - 5x + 3y + \sqrt {15 z}, $then the magnitude of the electric field is

4.
The distance travelled by a particle starting from rest and moving with an acceleration \( \frac{4}{3} \) ms\(^{-2} \), in the third second is:

5.
The straight wire AB carries a current \(I\). The ends of the wire subtend angles \(\theta_1\) and \(\theta_2\) at the point \(P\) as shown in the figure. The magnetic field at the point \(P\) is:

6.
A particle executes simple harmonic motion between \( x = -A \) and \( x = +A \). If the time taken by the particle to go from \( x = 0 \) to \( \frac{A}{2} \) is 2 s, then the time taken by the particle in going from \( x = \frac{A}{2} \) to \( A \) is:

7.
Two bodies of mass \( 1 \) kg and \( 3 \) kg have position vectors \( \hat{i} + 2\hat{j} + \hat{k} \) and \( -3\hat{i} - 2\hat{j} + \hat{k} \) respectively. The magnitude of the position vector of the center of mass of this system will be similar to the magnitude of which vector?

8.
There are two long co-axial solenoids of the same length \( l \). The inner and outer coils have radii \( r_1 \) and \( r_2 \) and the number of turns per unit length \( n_1 \) and \( n_2 \), respectively. The ratio of mutual inductance to the self-inductance of the inner coil is:

9.
Two wires of the same material (Young’s modulus \( Y \)) and same length \( L \) but radii \( R \) and \( 2R \) respectively, are joined end to end and a weight \( W \) is suspended from the combination. The elastic potential energy in the system is:

10.
Five charges +q, +5q, -2q, +3q and -4q are situated as shown in the figure. The electric flux due to this configuration through the surface S is: