List of top Physics Questions on Electrostatics asked in VITEEE

Equal charges \( q \) each are placed at the vertices of an equilateral triangle of side \( r \). The magnitude of electric field intensity at any vertex is

Two points masses, \( m \) each carrying charges \( -q \) and \( +q \) are attached to the ends of a massless rigid non-conducting wire of length \( L \). When this arrangement is placed in a uniform electric field, then it deflects through an angle \( \theta \). The minimum time needed by rod to align itself along the field is

If 1000 droplets each of potential 1 V and radius \( r \) are mixed to form a big drop, then the potential of the drop as compared to small droplets will be?

Four equal charges \( Q \) each are placed at four corners of a square of side \( a \). Work done in carrying a charge \( -q \) from its centre to infinity is

Three charges, each \( +q \), are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2a. D and E are the mid-points of BC and CA. The work done in taking a charge \( Q \) from D to E is

A hollow conducting sphere is placed in an electric field produced by a point charge at \( P \) as shown in figure. Let \( V_A \), \( V_B \), \( V_C \) be the potentials at points A, B, and C respectively. Then

The potential of a large liquid drop when eight liquid drops are combined is 20V. Then the potential of each single drop was

The potential of the electric field produced by a point charge at any point \( (x, y, z) \) is given by \( V = x^2 + 5y^2 \), where \( x \), \( y \) are in meters and \( V \) is in volts. The intensity of the electric field at \( (-2, 1, 0) \) is

As shown in the figure, charges \( +q \) and \( -q \) are placed at the vertices B and C of an isosceles triangle. The potential at the vertex A is:

On moving a charge of \( 20 \, \text{C} \) by \( 2 \, \text{cm} \), 2 J of work is done, then the potential difference between the points is:

The insulation property of air breaks down at \( 3 \times 10^6 \, \text{V/m} \). The maximum charge that can be given to a sphere of diameter 5 m is nearly:

A thin metallic spherical shell contains a charge \( Q \). A point charge \( q \) is placed at the center of the shell and another charge \( q_1 \) is placed outside it as shown in the figure. All the three charges are positive. The force on the charge at the center is:

The force on the charge at the center is:

A glass rod rubbed with silk is used to charge a gold leaf electroscope, and the leaves are observed to diverge. The electroscope is then charged with X-rays for a short period. Then the leaves will:

An infinite line charge, with coordinates \( x = 1 \) cm and charge density \( \lambda \), produces an electric field at point A at distance r from the line. If the charge on line is \( 10 \mu C \), then what is the electric field at point A?

A cube of side 5 cm is placed in a uniform field \( E \), where \( E = 5 \times 10^4 \, \text{N/C} \). The flux through the cube is:

The capacity of a capacitor is \( 4 \times 10^{-6} \, \text{F} \) and its potential is 100 V. The charge on the plates is:

An arc of radius \(r\) carries charge. The linear density of charge is \(\lambda\) and the arc subtends an angle \(\dfrac{\pi}{3}\) at the centre. What is electric potential at the centre?

An electric dipole consists of two opposite charges of magnitude \(q = 1\times 10^{-6}\,C\) separated by \(2.0\,cm\). The dipole is placed in an external field of \(2\times 10^{5}\,NC^{-1}\). What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end to end, starting from position of alignment (\(\theta = 0^\circ\))?

A neutral water molecule (\(H_2O\)) in its vapour state has an electric dipole moment of magnitude \(6.4\times 10^{-30}\,C\,m\). How far apart are the molecules centres of positive and negative charges?

An infinitely long straight wire has uniform linear charge density of \(\dfrac{1}{3}\,cm^{-1}\). Then, the magnitude of the electric intensity at a point \(18\,cm\) away is (given \(\varepsilon_0 = 8.8 \times 10^{-12}\,C^2N^{-1}m^{-2}\))

Two point charges \(-q\) and \(+q\) are located at points \((0,0,-a)\) and \((0,0,a)\), respectively. The electric potential at a point \((0,0,z)\), where \(z>a\) is

A sample of HCl gas is placed in an electric field \(3\times 10^{4}\,NC^{-1}\). The dipole moment of each HCl molecule is \(6\times 10^{-30}\,Cm\). The maximum torque that can act on a molecule is

If the force exerted by an electric dipole on a charge \(q\) at a distance of 1 m is \(F\), the force at a point 2 m away in the same direction will be

A solid sphere of radius \(R_1\) and volume charge density \(\rho = \frac{\rho_0}{r}\) is enclosed by a hollow sphere of radius \(R_2\) with negative surface charge density \(\sigma\), such that the total charge in the system is zero. \(\rho_0\) is a positive constant and \(r\) is the distance from the centre of the sphere. The ratio \(\frac{R_2}{R_1}\) is